The success of an airline depends heavily on its ability to provide a pleasant customer experience. One dimension of customer service on which airlines compete is on-time arrival. The tables below contain a sample of data from delayed flights showing the number of minutes each delayed flight was late for two different airlines, Company A and Company B.
Company A
34 59 43 30 3
32 42 85 30 48
110 50 10 26 70
52 83 78 27 70
27 90 38 52 76
Company B
46 63 43 33 65
104 45 27 39 84
75 44 34 51 63
42 34 34 65 64
(a) Formulate the hypotheses that can be used to test for a difference between the population mean minutes late for delayed flights by these two airlines. (Let μ1 = population mean minutes late for delayed Company A flights and μ2 = population mean minutes late for delayed Company B flights.)
A)H0: μ1 − μ2 = 0
Ha: μ1 − μ2 ≠ 0
B) H0: μ1 − μ2 ≤ 0
Ha: μ1 − μ2 > 0
C)H0: μ1 − μ2 < 0
Ha: μ1 − μ2 = 0
D) H0: μ1 − μ2 ≠ 0
Ha: μ1 − μ2 = 0
E) H0: μ1 − μ2 ≥ 0
Ha: μ1 − μ2 < 0
(b) What is the sample mean number of minutes late for delayed flights for each of these two airlines?
Company A______ min.
Company B______ min.
(c) Calculate the test statistic. (Round your answer to three decimal places.)
test statistic=
What is the p-value? (Round your answer to four decimal places.)
p-value =
Using a 0.05 level of significance, what is your conclusion?
A) Reject H0. There is statistical evidence that one airline does better than the other in terms of their population mean delay time
B) Do not Reject H0. There is statistical evidence that one airline does better than the other in
terms of their population mean delay time.
C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.
D) Reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

Answers

Answer 1

Answer:

A)H0: μ1 − μ2 = 0

Ha: μ1 − μ2 ≠ 0

(b)  Means

Company A___50.6___ min.

Company B___52.75___ min.

c)The t-value is -0.30107.

The p-value is 0 .764815.

C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

Step-by-step explanation:

A)H0: μ1 − μ2 = 0

i.e there is no difference between the means of delayed flight for two different airlines

Ha: μ1 − μ2 ≠ 0

i.e there is a difference between the means of delayed flight for two different airlines

(b)

Company A___50.6___ min.

Company B___52.75___ min.

Mean of Company A = x`1= ∑x/n =34+ 59+ 43+ 30+ 3+ 32+ 42+ 85+ 30+ 48+ 110+ 50+ 10+ 26+ 70+ 52+ 83+ 78+ 27+ 70+ 27+ 90+ 38+ 52+ 76/25

= 1265/25= 50.6

Mean of Company B = x`2= ∑x/n =

=46+ 63+ 43+ 33+ 65+ 104+ 45+ 27+ 39+ 84+ 75+ 44+ 34+ 51+ 63+ 42+ 34+ 34+ 65+ 64/20

= 1055/20= 52.75

Difference Scores Calculations

Company A

Sample size for Company A= n1= 25

Degrees of freedom for company A= df1 = n1 - 1 = 25 - 1 = 24

Mean for Company A= x`1=  50.6

Total Squared Difference (x-x`1) for Company A= SS1: 16938

s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75

Company B

Sample size for Company B= n1= 20

Degrees of freedom for company B= df2 = n2 - 1 = 20 - 1 = 19

Mean for Company B= x`2=  52.75

Total Squared Difference (x-x`2) for Company B= SS2=7427.75

s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93

T-value Calculation

Pooled Variance= Sp²

Sp² = ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)

Sp²= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65

s2x`1 = s2p/n1 = 566.65/25 = 22.67

s2x`2 = s2p/n2 = 566.65/20 = 28.33

t = (x`1 - x`2)/√(s2x`1 + s2x`2) = -2.15/√51 = -0.3

The t-value is -0.30107.

The total degrees of freedom is = n1+n2- 2= 25+20-2=43

The critical region for two tailed test at significance level ∝ =0.05 is

t(0.025) (43) = t > ±2.017

Since the calculated value of t=  -0.30107.  does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.

The p-value is 0 .764815. The result is not significant at p < 0.05.

Answer 2

In this exercise, it is necessary to use the knowledge given by the airlines and the flights, having as a solution:

a)[tex]H_0: \mu_1 -\mu_2 = 0\\H_a:\mu_1 -\mu_2\neq 0[/tex]

b)  Means: Company A 50.6 min.

Company B 52.75 min.

c)The t-value is -0.30107.

The p-value is 0 .764815.

C) Do not reject H0. There is no statistical evidence that one airline does better than the other in terms of their population mean delay time.

A)[tex]H_0: \mu_1 -\mu_2 = 0[/tex]

There is no difference between the means of delayed flight for two different airlines:

[tex]H_a:\mu_1 -\mu_2\neq 0[/tex]

There is a difference between the means of delayed flight for two different airlines.

(b) Mean of Company A[tex]= x_1= \sum{x/n} = 1265/25= 50.6[/tex]

Mean of Company B [tex]= x_2= \sum{x/n} =1055/20= 52.75[/tex]

C) Difference Scores Calculations:

Company A:

Sample size for Company [tex]A= n1= 25[/tex]

Degrees of freedom for company [tex]A= df1 = n1 - 1 = 25 - 1 = 24[/tex]

Mean for Company [tex]A= x_1= 50.6[/tex]

Total Squared Difference for Company [tex]A= SS1: 16938\\s21 = SS1/(n1 - 1) = 16938/(25-1) = 705.75[/tex]

Company B:

Sample size for Company [tex]B= n1= 20[/tex]

Degrees of freedom for company [tex]B= df2 = n2 - 1 = 20 - 1 = 19[/tex]

Mean for Company[tex]B= x_2= 52.75[/tex]

Total Squared Difference for Company [tex]B= SS2=7427.75\\s22 = SS2/(n2 - 1) = 7427.75/(20-1) = 390.93[/tex]

T-value Calculation

Pooled Variance= Sp²

[tex]Sp^2= ((df1/(df1 + df2)) * s21) + ((df2/(df2 + df2)) * s22)\\Sp^2= ((24/43) * 705.75) + ((19/43) * 390.93) = 566.65\\s2x_1 = s2p/n1 = 566.65/25 = 22.67\\s2x_2 = s2p/n2 = 566.65/20 = 28.33\\t = (x_1 - x_2)/\sqrt{s2x_1 + s2x_2} = -2.15/\sqrt{51} = -0.3[/tex]

The t-value is -0.30107.

The total degrees of freedom is [tex]= n1+n2- 2= 25+20-2=43[/tex]

The critical region for two tailed test at significance level ∝ =0.05 is [tex]t(0.025) (43) = t > 2.017[/tex]

Since the calculated value of t=  -0.30107.  does not fall in the critical region t > ±2.017, null hypothesis is not rejected that is there is no difference between the means of delayed flight for two different airlines.

The p-value is 0 .764815. The result is not significant at p < 0.05.

Learn more: brainly.com/question/14356533


Related Questions

Suppose we have a set of three buyers who are trying to buy homes from three sellers. Suppose that seller A charges 3 for their house, seller B charges 2 for their house, and seller C charges 1 for their house The valuations for the three buyers are as follows ordered by house number (so house a, then house b, then house c):
Buyer 1: A: 1 B: 3 C: 2
Buyer 2: A: 5 B:5 C: 5
Buyer 3: A: 5 B: 3 C: 2
Assuming that this set of prices is market clearing, provide the utility for each player in the transaction.

Answers

Solution :

As we can see from the following question that  :

[tex]$\text{Seller A}$[/tex] charges [tex]$3$[/tex] for their house, [tex]$C_A=3$[/tex]

[tex]$\text{Seller B}$[/tex] charges [tex]$2$[/tex] for their house, [tex]$C_B=2$[/tex]

[tex]$\text{Seller C}$[/tex] charges [tex]$1$[/tex] for their house, [tex]$C_C=1$[/tex]

Now depending on the valuation that each buyer have on these three houses, they derive utility from it :

Buyer I

Valuation for house A, [tex]$V'_A=1$[/tex]

Valuation for house B, [tex]$V'_B=3$[/tex]

Valuation for house C, [tex]$V'_C=2$[/tex]

Utility that buyer I derives from :

House A, [tex]$V_A = V'_A-C_A = 1-3 = -2$[/tex]

House B, [tex]$V_B = V'_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V'_C-C_C = 2-1 = 1$[/tex]

As we can see from buying house B and C, buyer I has positively utility, so the buyer will be interested to buy house B and C. As the utility derived from both the houses is same, he will be indifferent.

Buyer II

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=5$[/tex]

Valuation for house C, [tex]$V^2_C=5$[/tex]

Utility that buyer II derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 5-2 = 3$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 5-1 = 4$[/tex]

Buyer II drives positive utility from all the three houses, so he will be interested to buy any of them but will be inclined towards house C, as it gives the buyer more utility.

Buyer III

Valuation for house A, [tex]$V^2_A=5$[/tex]

Valuation for house B, [tex]$V^2_B=3$[/tex]

Valuation for house C, [tex]$V^2_C=2$[/tex]

Utility that buyer III derives from :

House A, [tex]$V_A = V^2_A-C_A = 5-3 = 2$[/tex]

House B, [tex]$V_B = V^2_B-C_B = 3-2 = 1$[/tex]

House C, [tex]$V_C = V^2_C-C_C = 2-1 = 1$[/tex]

The buyer III derives positive utility from all the three houses but will be more inclined to buy house A as it gives the buyer higher utility as compared to the other houses.

I need help i ant seem to find this out it is due tommorow.

Answers

Answer: the answer is 31.5

Step-by-step explanation:

u will need to 9.0 X 3.5 to get the naswer so its 31.5

Tristan spent 35% of his allowance on candy each week. If his weekly allowance is $10, How much is he spending on candy? Tristan spends on candy each week.

Answers

Answer:

he is spending 3.50 each week


Which of the following gives the number of petals of the rose curve r=6cos 20 ?
(A) 1 (B)2 (C) 4 (D) 6
(E) 12

please include work

Answers

assalam o aalaikum

Step-by-step explanation:

1. At the Blue Jays game, Steven Matz (height = 1.2m) throws a baseball(140g) straight in

the air with 95N of force for 30cm.

1. What is the speed of the ball 2.4 m above the ground?

2. What is the maximum height of the ball (assuming no air resistance)?

2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.

Answers

Answer:

No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.

Step-by-step explanation:

So we already know that 1 surving of soup is 275 milliliters.

We have 6 survings of this soup.

We need to see if these 6 servings will fit in a 1.5 liter jar.

To find the total amount of mililers, we must multipy this by 6:

275*6

=

1650

Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:

1650/1000

=

1.65

This number is greater than 1.5 liters, which is how much soup the jar can store.

So the answer is no, the 6 servings of soup cannot fit in the jar.

There are $5$ girls and $5$ boys in a chess club. The club holds a round-robin tournament in which every player plays against every other player exactly once.

If Anita is one of the club members, what fraction of all games at the tournament does Anita play in? Enter your answer as a fraction in simplified form.

Answers

Answer: 5

Step-by-step explanation:

Which measurement is closest to the area of the sign in square inches

Answers

Option C. The area ≈ 706.86

find the degree measure of angle HRP?

Answers

Answer: HRP = 40°

Explanation:

Angle EPN = 40°

But EPN = HRP (corresponding angle)

Because EP//HR

Therefore EPN = HRP = 40°
The answer is going to be 40 degrees

What is the slope of y<-3/4x-1

Answers

Answer:

-3/4

Step-by-step explanation:

In slope-intercept form, the slope is the coefficient of x.

Round off to two decimal places
27.305

Answers

Answer:

20 in place value of 2

hope it helped

Thirty students from the Netherlands set up a record of 1,500,000 dominoes. Of these, 1,138,101 were toppled by one push. Which is a more reasonable estimate for how many dominoes remained standing after that push: 350,000 or 400,000?​

Answers

The aswer is 350,000,,,,,,,,,

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Answers

After effects? NEW FEATUFES? WHAT!

Use the distributive property to find the equivalent expression. 9(2 + 3x) =

Answers

Answer:

9(2+3x)

9*2+9*3x

18+27x

Step-by-step explanation:

Consider the salt shaker shown.

5 cm

cm

What is the volume of the salt shaker, including the top? Round your answer to the nearest hundredth.

Volume of Salt Shaker =

Answers

Answer:

Volume of salt shaker  = 42.4 cm³ (Approx.)

Step-by-step explanation:

Given:

Height of salt shaker = 5 cm

Diameter of salt shaker = 3 cm

Find:

Volume of salt shaker

Computation:

Radius of salt shaker = Diameter of salt shaker / 2

Radius of salt shaker  = 3 / 2

Radius of salt shaker = 1.5 cm

Volume of salt shaker  = Volume of cylinder + Volume of Hemisphere

Volume of salt shaker  = πr²h + (2/3)πr³

Volume of salt shaker  = (3.14)(1.5)²(5) + (2/3)(3.14)(1.5)³

Volume of salt shaker  = (3.14)(2.25)(5) + (0.667)(3.14)(3.375)

Volume of salt shaker  = 35.325 + 7.068

Volume of salt shaker  = 42.4 cm³ (Approx.)

If 8 people can be seated at a dinner table, how many tables are required to seat 72 people?

Answers

Answer:

9

Step-by-step explanation:

Given that ,

8 people can be seated at a dinner table.

This is the case of direct proportion where , when quantity increases , the other also increases. Here we can use unitary method.

=> 8 people can sit on 1 table

=> 1 person can sit of 1/8

=> 72 people can sit on 1/8 * 72 = 9 tables

Hence 9 tables is the required answer.

Round to the nearest whole dollar: 2.89

Answers

Answer:

I believe it would be $3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Because 0.89 is greater than 0.5, we have to round up. Therefore, the answer is 3.

If this helps please mark as brainliest

Help I need HELP FAST I give brainliest.

IGNORE THIS TEXT: Which graph shows this solution set? y is greater than negative 2 and y is less than or equal to 2Answer options with 5 optionsA.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are filled in circles. Between negative 2 and positive 2, the number line is shaded. B.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2 and positive 2, there are open circles. Between negative 2 and positive 2, the number line is shaded. C.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. Between negative 2 and positive 2, the number line is shaded. D.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is an open circle. At positive 2, there is a filled-in circle. The number line is shaded to the left of negative 2 and to the right of positive 2. E.The graph shows a number line.Short description, The graph shows a number line.,Long description,A number line has negative 2 and positive 2. At negative 2, there is filled in circle. At positive 2, there is an open circle. The number line is shaded to the left of negative 2 and to the right of positive 2.

Answers

Answer:

The answer choice would be C

why is solar power a renewable energy source​

Answers

Answer:

Solar energy is a renewable resource, meaning it won't ever run out or be in short supply. ... Solar energy reaches us via the sun's rays, while fossil fuels come from ancient carbon-rich remains on earth. So, as long as the sun is shining, solar energy will be around.

Step-by-step explanation:

It is a source of energy that won't run out with regular use. Popular sources of renewable energy include solar, wind and hydroelectric (or tidal).
Explanation:
A renewable energy source is simply one that won't run out. This means that you can consistently use it to produce energy and unlike fossil fuels, it won't use up supplies. For this reason, renewable energy often comes from cycles (like that of the tides) or from a constant in the environment. An example of a non-renewable energy source is fossil fuels. We will one day (in the not so far future) run out of fossil fuels as they take millions of years to produce, and we use so much of them up.
Renewable energy sources are getting more and more in demand as we run out of fossil fuels and realise their effect on the atmosphere. Here are a few well known examples.
Solar energy - this is where the energy from the sun is harnessed to produce electricity, or directly heat houses. By creating a panel with a large surface area and heat absorbent surface, it can absorb a large amount of the suns thermal and light energy to either heat up water in pipes (which will then heat houses), or to create electricity by "exciting" electrons (small particles which play a large part in transporting energy) in silicon using the sun's rays (or photons). However, solar energy can be a little unreliable as it requires clear skies and sunlight.
Wind - you may have seen large wind turbines along coastlines. This is because coasts receive a lot of wind, which can provide a force strong enough to turn a large turbine - then connected to a generator allowing us to harness the energy of the wind and turn it into electricity. Again, due to it relying on the weather, this is not a method that will 100% produce energy all the time.
Tidal - this is perhaps one of the most reliable methods, as we can rely on the tide coming in and out each day. It works by building a large dam across an water body affected by the tide. In order for the water to move in the direction it wants to, it has to push it's way through a turbine. The turbine is moved by the water and in turn drives a generator.
This is similar to hydroelectric, where instead of the tide, the energy of water flowing downhill is used to turn the turbine.
I hope this helped, let me know if you need any more information or something explained a bit better:)

When factored completely, the expression p4 - 81 is equivalent to ....
1. (p2+9)(p2-9)
2. (p2-9)(p2-9)
3. (p2+9)(p+3)(p-3)
4. (p+3)(p-3)(p+3)(p-3)​

Answers

The answer is option 3 (p^2+9)(p+3)(p-3) because you use the difference of squares formula

Use the graphs below to help you answer the question.



Which is the best approximation to a solution of the equation ln x = x - 2

- 2
1
2
3

Answers

Answer:

Here we can not see the graph, so I will upload a new graph for this case.

To solve the equation:

Ln(x) = x - 2

We can first graph the equations:

y = Ln(x)

y = x - 2

And find the point where these graphs intersect.

In the graph we can see two intersects.

One (the first one) is near the point ( 0.15, -1.85)

And the other intersection is near the point (3.14, 1.14)

Then two possible values of x that are solutions of:

ln(x) = x - 2

are:

x = 0.15

x = 3.14

Isaiah’s vegetable garden is `15` feet long by `5` feet wide.



He plans to increase the width and length of his garden and put a fence around it.



He writes this expression for the total amount of fencing:



(x+15) + (x+5) + (x+15) + (x+5)



Describe what `x` represents in this situation.

Answers

Answer:

Step-by-step explanation:

x is the quantity by which the original measurements of the garden is increased.  For example:  the original width is 5 ft and x is the amount by which this is increased.

x here is the added value in the width and length of his garden to increase the fencing.

What is perimeter?

A perimeter is a closed path that encompasses, surrounds, or outlines either a two-dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference. Calculating the perimeter has several practical applications.

Given that, Isaiah’s vegetable garden is 15 feet long by 5 feet wide.

He wants to increase the width and length of his garden and put a fence around it.

He writes an expression for the same, we need to find what is x here,

(x+15) + (x+5) + (x+15) + (x+5) is giving the perimeter of the farm after increasing the width and length of his garden,

So, simply we can say that, x here is the extra length and width.

The farmer added x to each width and the length to increase his fencing,

So, his new dimension will be = x+15 and x+5

So, the perimeter = 2(x+15+x+5)

Here, the perimeter is fencing =

= 2(x+15+x+5)

= x+15+x+5+x+15+x+5

Hence, x here is the added value in the width and length of his garden to increase the fencing.

Learn more about perimeter, click;

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WHATS THE ANSWER?? answer ASAP NO FILE AT ALL

Answers

Answer:

A

Step-by-step explanation:

If you flip the picture over and look at it while it is upside-down, you can see that image A is the same shape.

A is the answer. it shows a reflection

helppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

perimeter is add up all the values on the sides

5+3+4=12

hope it helps :)

Which events are mutually exclusive?

Answers

Answer:

2.option is the correct answer

Select the correct answer what are the x-intercepts of these quadric function g(x)=-2(x-4)(x+1)

Answers

The x-intercepts are:


X = 4
X = -1

Please don’t judge me, can I get some help? Questions in the screenshot below

Answers

For the graphing one I think (-3,1) since the shape is a parallelogram the new point needs to make 2 lines that are parallel to the ones already graphed. Check my work though :)
And for the other questions I believe it’s as simple as multiplying both of the numbers by each other then by 2/3. I might be wrong on that though I haven’t done that stuff in a long while

A bottle of mayonnaise holds 500ml. How many litres is this?​

Answers

500 ml is 0.5 liters. Divide 500/1000 and this equals 0.5.

(2)
3. Which of the following is NOT equal to 3/4
a.
a: (0)
b. 123
c. oo

Answers

The answer is b. 123

Answer:

hindi ko poaintindihan paayos po

Cooper Bank Ballpark charges 87 per ticket (t) and $3 to park. Good Foods
Ballpark charges $6 per ticket, and $10 to park. At how many tickets will the
total cost (c) be the same?

Answers

Answer:

13.33

Step-by-step explanation:

let p be park.

[tex]t+p = c\\\\t_{2}(x) + p_{2} = c[/tex]

[tex]\\(87)+(3) = 90\\\\(6)x+(10) = 90[/tex]

(6)x needs to make up 80 to get the total cost(c)

80/6 = 13.33

so x should be 13.33

A bakery sells 5394 donuts in 2010. The bakery sells 10,874 donuts in 2015. Write a linear model that represents the number y of donuts that the bakery sells x years after 2010.

Answers

Answer:

y = 1096x + 5394

Step-by-step explanation:

Given that

The bakery sells 5394 donuts in 2010

And, the bakery sells 10,874 donuts in 2015

We need to write the linear model

So here

we assume that the x be the no of years after 2010

And, y be the no of donuts

Now

x_1 = 0, y_1 = 5394

x_2 = 5, y_2 = 10874

Now the slope is

m = (y_2 - y_1) ÷ (x_2 - x_1)

= (10874 - 5394) ÷ (5 - 0)

= 1,096

Now

y - y_1 = m(x - x_1)

y - 5394 = 1096(x - 0)

y - 5394 = 1096x - 0

y = 1096x + 5394

Other Questions
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