Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means.

Answers

Answer 1

This question is incomplete, the complete question is;

Alicia would like to know if there is a difference in the average price between two brands of shoes. She selected and analyzed a random sample of 40 different types of Brand A shoes and 33 different types of Brand B shoes. Alicia observes that the boxplot of the sample of Brand A shoe prices shows two outliers. Alicia wants to construct a confidence interval to estimate the difference in population means.

Is the sampling distribution of the difference in sample means approximately normal?

a) Yes, because Alicia selected a random sample

b) Yes, because for each brand it is reasonable to assume that the population size is greater than ten times its sample size.

c) Yes, because the size of each sample is at least 30

d) No, because the distribution of Brand A shoes has outliers

e) No, because the shape of the population distribution is unknown.

Answer:

the sampling distribution of  the difference in sample means is approximately normal because the size of each sample is al least 30

Option (c) Yes, because the size of each sample is at least 30 ) is the correct answer.

Step-by-step explanation:

Given the data in the question;

sample size of brand A shoes [tex]n_A[/tex] = 40

sample size of brand B shoes [tex]n_B[/tex] = 33

As we can notice,

[tex]n_A[/tex] = 40 > 30

[tex]n_B[/tex] = 33 > 30

Hence, we consider both samples to be large.

Therefore, the sampling distribution of  the difference in sample means is approximately normal because the size of each sample is al least 30.

Option (c) Yes, because the size of each sample is at least 30 ) is the correct answer.


Related Questions

Can someone please tell me if I’m correct, quick

Answers

Answer: I believe your answer is correct .

Answer:

yes i belive  u got it right

Step-by-step explanation:

What is the width of the terrace?

Answers

Answer:

12 feet or 4 feet.......


[tex] \sqrt[3]{625} [/tex]
how would I simplify this without decimals & show work?

Answers

Answer:

[tex]5\sqrt[3]{5}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{625}[/tex] factor [tex]625^{1/3}[/tex]=[tex]5(5^{1/3} )[/tex]=5\sqrt[3]{5}

Hope that helps :)

Find the slope And y-intercept

Answers

Answer:

Answer is (a)

Step-by-step explanation:

Well I didn’t really do any work but you can tell right away theres a ton of slope options so you can’t eliminate from there, BUT when you look at the y-intercept, 3 is the only y-intercept option here and the only choice with the y-intercept of 3 is (a).

please help !! A golf ball is hit into the air from a platform located 6 meters above the ground. The graph represents the height above the ground of the golf ball as a function of time.

Part A: What is the maximum height, in meters, the golf ball reaches before hitting the ground? (blank) meters

Part B:Which of the following statements describe the golf ball? Select TWO that apply.

A.)At 0 seconds, the golf ball is on the ground.

B.)The golf ball is in the air for a total of 4 seconds.

C.)The golf ball is at a height of 6 feet 2 seconds after it was hit.

D.)Between 1 and 3 seconds, the ball is falling towards the ground.

Answers

Answer:

Part A: 8 meters

Part B: B, D

Step-by-step explanation:

SQL A. Is portable among different implementations B. Is object oriented C. Is better than NoSQL D. Is based on relational algebra

Answers

SQL (Structured Query Language) is a widely used language for managing relational databases. It is portable among different implementations and based on relational algebra.

SQL is a language designed for managing and manipulating structured data in relational databases. It provides a standardized way to interact with databases and perform various operations such as querying, inserting, updating, and deleting data. One of the advantages of SQL is its portability, meaning that SQL code can be written to work with different database management systems (DBMS) as long as they support the SQL standard. This portability allows for easy migration of databases between different systems.

SQL is based on relational algebra, which is a mathematical framework for working with relational databases. It defines operations and rules for manipulating relations (tables) and performing relational queries. The foundations of SQL are rooted in the principles of relational algebra, providing a solid basis for database management.

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On day 1 Vampire
Olly slept 5 hours. On
day 2 he slept 7 hours.
By what percent did he
increase his sleeping?

Answers

Answer:

40%

Step-by-step explanation:

Initial number of hours = 5Increased number of hours = 7

Change:

7 - 5 = 2

Percent change:

2/5*100% = 40%

A car travels 250 miles to Myrtle Beach; the faster it goes, the less time the trip takes.

Answers

Answer:

Well, ermm duh

Step-by-step explanation:

The faster you go, the less time it will take

Which value of r indicates a stronger correlation:r = 0.818 or r= -0.926? Explain your reasoning. Choose the correct answer below. O A. r= -0.926 represents a stronger correlation because 0.818 > -0.926. O B. r=0.818 represents a stronger correlation because | -0.926) > 10.818). OC. r= -0.926 represents a stronger correlation because | -0.926) > 10.818|- OD. r=0.818 represents a stronger correlation because 0.818 > -0.926.

Answers

Hence, option D is the correct answer to the given question.

The correct answer to the given question is the option D. i.e r=0.818 represents a stronger correlation because 0.818 > -0.926. Explanation: The strength of the correlation can be determined by the magnitude of the correlation coefficient. The correlation coefficient values vary between -1 to 1. If the value of correlation coefficient is close to -1 or 1, it indicates strong correlation. On the other hand, if the value of correlation coefficient is close to 0, it indicates a weak correlation.A correlation coefficient value of -0.926 indicates a strong negative correlation. A correlation coefficient value of 0.818 indicates a strong positive correlation. Hence, option D is the correct answer to the given question.

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If 5.90 × 1.8 = 10.62, what does 106.2 ÷ 59 equal?

Answers

Answer:

1.8

Step-by-step explanation:

- hope this helps!!

Experimental Probability is ___________ .
a . our prediction
b. data from our experiment

Answers

Answer:

b

Step-by-step explanation:

data from our experiment.....

A binomial experiment consists of 12 trials. The probability of success on trial 5 is 0.16. What is the probability of success on trial 9?
A. 0.1
B. 0.18
C. 0.33
D. 0.25
E. 0.16
F. 0.68

Answers

A binomial experiment consists of 12 trials. The probability of success on trial 5 is 0.16. The probability of success on trial 9 is 0.16.

In a binomial experiment, there are two outcomes that are possible in each trial: a success and a failure.

A binomial experiment consists of a fixed number of trials.

The term "probability" refers to the measure of how likely an event is to happen.

The probability of success on trial 5 is 0.16.

We are required to calculate the probability of success on trial 9.

Since the experiment consists of a fixed number of trials, we can say that probability of success in each trial is the same.

Let us assume the probability of success is p.

Therefore, the probability of failure in each trial is (1-p).

The probability of success on trial 5 is 0.16.

Therefore, p = 0.16.

The probability of failure on trial 5 is

1-p = 1-0.16

1-p = 0.84

The probability of success on trial 9 is given by:

P(success on trial 9) = p

P(success on trial 9) = 0.16.

Therefore, the probability of success on trial 9 is 0.16, which is option E.

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What is the value of -5^6?

Answers

Answer:

-15625

Step-by-step explanation:

Hope this helps!

Answer:

-15,625

Step-by-step explanation:

-5^6 = -(5^6) = -(5 * 5 * 5 * 5 * 5 * 5) = -15,625

What is the slope of the line passing through the points (-9,-3) and (7,-7)

Answers

Answer:

The slope is [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]\frac{Y_{2} -Y_{1} }{X_{2}-X_{1} }[/tex]

-7-(-3)= -7+3= 4

4/?

7-(-9)= 7+9 = 16

4/16=1/4

I hope this helps :-)

Find an expression of a(t) if 8t (b) (2 points) If A(4) = 30, find A(2). 1+ t2

Answers

The expression for a(t) is 8(1-t)/(1+t)² and A(2) = -8/9.

What is the expression of a(t)?

An expression is a combination of numbers, variables, and operations. Expressions can be used to represent quantities, relationships, and functions. While there are different types of expression such as arithmetic expression, algebraic expression and function, this as an algebraic expression.

To determine the expression that represents a(t); we have to factor the expression 8t/(1+t²).

8t/(1+t²) = 8t/(1+t)(1-t)

Dividing by 1 - t

a(t) = 8t/(1+t)

Simplifying further;

a(t) = 8(1-t)/(1+t)²

To solve for A(2), we need to plug t = 2 into the expression;

A(2) = 8(1-2)/(1+2)²

A(2) = -8/9

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Please help me to finish the table! D:

Answers

Answer: 32, 27, 20

Step-by-step explanation: This is a quadratic table.

An unknown radioactive element decays into non-radioactive substances. In 560 days the radioactivity of a sample decreases by 36 percent.

(a) What is the half-life of the element?
half-life:

(b) How long will it take for a sample of 100 mg to decay to 55 mg?
time needed:

Answers

After taking the given data into consideration we conclude that
a) the half-life of the unknown radioactive element is approximately 1921.7 days.
b) approximately 1011.4 days, or about 2.77 years, for a sample of 100 mg to decay to 55 mg.

(a) The half-life of a radioactive element is the time needed for half of the material to decay. To find the half-life of the unknown radioactive element, we can use the fact that in 560 days, the radioactivity of a sample decreases by 36 percent. Let T be the half-life of the element. Then, we have:
[tex]0.5 = (1 - 0.36)^{(560/T)}[/tex]
Simplifying this equation, we get:
[tex]0.5 = 0.64^{(560/T)}[/tex]
Taking the natural logarithm of both sides, we get:
[tex]ln(0.5) = ln(0.64)^{(560/T)}[/tex]
[tex]ln(0.5) = (560/T) * ln(0.64)[/tex]
Solving for T, we get:
[tex]T = -560 / (ln(0.64) * ln(0.5))[/tex]
[tex]T \approx 1921.7 days[/tex]

(b) To find how long it will take for a sample of 100 mg to decay to 55 mg, we can use the half-life formula:
[tex]N = N_0 * (1/2)^{(t/T)}[/tex]
where:
N is the final amount, which is 55 mg in this case
[tex]N_0[/tex] is the initial amount, which is 100 mg in this case
t is the time it takes for the sample to decay from [tex]N_0[/tex] to N
T is the half-life of the element, which we found to be approximately 1921.7 days
Substituting the values, we get:
[tex]55 = 100 * (1/2)^{(t/1921.7)}[/tex]
Simplifying this equation, we get:
[tex]0.55 = (1/2)^{(t/1921.7)}[/tex]
Taking the natural logarithm of both sides, we get:
[tex]ln(0.55) = (t/1921.7) * ln(1/2)[/tex]
Solving for t, we get:
[tex]t = -1921.7 * ln(0.55) / ln(1/2)[/tex]
[tex]t \approx 1011.4 days[/tex]
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Help Me Please Quick Will Mark Brainliest if correct : - )

Answers

Answer:

y=2x+3

Step-by-step explanation:

Lets verify

[tex]\\ \sf\longmapsto -1=2(-2)+3=-4+3=-1[/tex]

[tex]\\ \sf\longmapsto 1=2(-1)+3=-2+4=1[/tex]

Hence verified

Answer:

C): y = 2x + 3

Step-by-step explanation:

• when x is -2:

[tex]{ \tt{y = 2(- 2) + 3}} \\ { \tt{y = - 1}}[/tex]

• when x is -1:

[tex]{ \tt{y = 2( - 1) + 3}} \\ { \tt{y = 1}}[/tex]

• since y holds for -2 and -1, it'll hold for other positive integers.

William is building a planetary path for people to walk through the planetary path will have a model of the sun and model of the planet William uses two different scales He uses 1 cm to 1000 km for the diameter of each planet and 1m to 1000000km for the distance of the sun to each planet William makes a model of planet Venus the model has a diameter of 12.1 work out the real diameter of venus

Answers

Answer:

The actual diameter of Venus is 12,100 kilometers.

Step-by-step explanation:

Since William is building a planetary path for people to walk through, and the planetary path will have a model of the sun and model of the planet, and William uses two different scales, he uses 1 cm to 1000 km for the diameter of each planet and 1m to 1000000km for the distance of the sun to each planet, if William makes a model of planet Venus and the model has a diameter of 12.1, to work out the real diameter of Venus the following calculation must be performed:

1 cm = 1000 km

12.1 cm = X km

1 = 1000

12.1 = X

12.1 x 1000/1 = X

12,100 = X

Thus, the actual diameter of Venus is 12,100 kilometers.

Please help me with this questions please please ASAP ASAP please ASAP help please please ASAP please I'm begging you please please ASAP

Answers

Answer:

Question 3: 8000

Question 4: 300

Answer:

3. 8,000

4. 300

Step-by-step explanation:

3.

2/5 * 20,000 = 2 * 20,000/5 = 2 * 4,000 = 8,000

Answer: 8,000

4.

Use a proportion.

10/2 = x/60

5/1 = x/60

x = 5 * 60

x = 300

Answer: 300

I’m not an expert at simplifying, so I need help

Answers

Answer: it's  1 1/2

please give me brainlest

Choose the correct definition. Group of answer choices Sensitivity refers to the probability that a test correctly classifies as positive individuals who have preclinical disease. Sensitivity refers to the probability that a test correctly classifies individuals without preclinical disease as negative Specificity refers to the probability that a test correctly classifies individuals with preclinical disease as positive Specificity refers to the probability that a test correctly classifies as positive individuals who have preclinical disease.

Answers

Answer:

the probability that a test correctly classifies as positive individuals who have preclinical disease

Step-by-step explanation:

Sensitivity represents the true positive percentage

Lets take an example if there is 90% sensitivity that means there are 90% people who have the target disease considered the test positive

So according to the given options, it is the probability in which if the test is done in a correct manner so this means that the positive individuals have the preclinical disease

Therefore the first option is correct

Recall the following definition of an Geometric Sequence. A sequence do, 21, 22, ... is called an geometric sequence if, and only if there is a constant r such that ak = r.24-1 where k> 1. Also recall that we "claimed" the explicit formula for the nth term of the geometric sequence is given by an = no pot where n > 0. Use mathematical induction to prove that our claim is true.

Answers

To prove that the explicit formula for the nth term of a geometric sequence is given by an = a₀.rⁿ, we will use mathematical induction. Mathematical induction is a proof technique used to establish a statement or property for all natural numbers or integers greater than or equal to a starting value.

Step 1: Base Case

For n = 0, the formula gives a₀.r⁰ = a₀, which is the first term of the sequence. So, the formula holds true for the initial value.

Step 2: Inductive Hypothesis

Assume that the formula holds for some arbitrary value k, i.e., ak = a₀.rᵏ.

Step 3: Inductive Step

We need to prove that the formula also holds for k+1, i.e., a(k+1) = a₀.r^(k+1).

Using the definition of a geometric sequence, we have:

a(k+1) = r.aₖ

Now substitute the inductive hypothesis into the above equation:

a(k+1) = r.(a₀.rᵏ) = (r.a₀).rᵏ = a₀.r^(k+1)

Therefore, we have shown that if the formula holds for k, then it also holds for k+1.

Step 4: Conclusion

By the principle of mathematical induction, the explicit formula for the nth term of a geometric sequence, given by an = a₀.rⁿ, is true for all non-negative integers n.

Thus, we have proved the claim using mathematical induction.

The question should be:

Recall the following definition of an Geometric Sequence.

A sequence a₀, a₁, a₂, ... is called an geometric sequence if, and only if there is a constant r such that

ak = r.a_k_-1 where k≥ 1.

Also recall that we "claimed" the explicit formula for the nth term of the geometric sequence is given by

an = a₀.rⁿ  where n≥ 0. Use mathematical induction to prove that our claim is true.

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please answer this question if you are correct i will mark brainliest

Answers

Step-by-step explanation:

Since there are 4 people who answered that they had 0 number of scarves we put 4 0's in a set of numbers. Then we see that there are 2 people who have 1 scarf. so there are 2 1's and we keep on going down the line.

{0,0,0,0,1,1,2,3,3,4,5,5} there are 12 numbers here

so we add up all of them

1+1+2+3+3+4+5+5=24

then divide that number by 12 because that's how many numbers there are

24/12=2

The mean of the numbers is 2

Hope that helps :)

Can someone plz help me

Answers

Answer:

73.12 m2

Step-by-step explanation:

determine triangle area.

8x12=96   96/2=48

determine area of half circle

diameter=8

radius=4

4π²/2=25.1327412287

add two areas together.

48+25.1327412287=73.1327412287

round the nearest hundredth

73.1327412287=73.12 m2

let {bn} be a sequence of positive numbers that converges to 1/2 . determine whether the given series is absolutely convergent, conditionally convergent, or divergent.
[infinity]Σ bn^n cos nπ / n n=1
a. absololutely convergent
b. conditionally convergent
c. divergent

Answers

The given series Σ (bnₙⁿ cos nπ)/n is conditionally convergent.

To determine the convergence of the series, we need to examine the behavior of the terms and apply the convergence tests. Given that {bₙ} is a sequence of positive numbers that converges to 1/2, we can conclude that bnₙⁿ approaches 1/2 as n approaches infinity.

Considering the term (bnₙⁿ cos nπ)/n, we have the alternating factor cos nπ which oscillates between -1 and 1 as n varies. The absolute values of the terms bnₙⁿ/n decrease monotonically to zero.

By the Alternating Series Test, if a series has alternating signs and the absolute values of its terms decrease monotonically to zero, then the series is conditionally convergent. Therefore, the given series Σ (bnₙⁿ cos nπ)/n is conditionally convergent.

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Complete question - Let {bₙ} be a sequence of positive numbers that converges to 1/2 . determine whether the given series is absolutely convergent, conditionally convergent, or divergent.

[n =1 to infinity]Σ (bnₙⁿ cos nπ)/n =1

a. absolutely convergent

b. conditionally convergent

c. divergent

Which expression is equivalent to 7(a+2) when a= 6?
O 7(6)
916)
0 7(6)+2
7(6)+ 14

Answers

Answer:

when a = 6, substitute 6 in the equation for a:

7(a + 2) = 7(6)+ 14

Step-by-step explanation:

Answer:

56

Step-by-step explanation:

When a = 6

7(a+2)

7(6+2)

7(8)

56

what is the greatest common factor of 20 and 50

Answers

Answer:

the answer is  10

Step-by-step explanation:

Answer: 10

Why? Because 10x5=50 and then 10x2=20 ten can be used for both of them! Hope this helps^^ please give me brainlist if you could but you don’t have too!^^

A bathtub in the shape of A rectangular prism is 20 meters long 10 meters wide and 2 meters deep how much water can the bathtub hold

Answers

Answer:

Topic : CIRCLE

1. Capture/ cut outs pictures that represents a Circle then paste it in a long band paper.

2. Make a reflection in CERA form

C-Content (min. 5sentence)

E- experience(min. 5 sen.)

R-reflection (min.5 sent.)

A- Application (min.5

3x+5⁰ 2x-25⁰ supplementary angles​

Answers

Answer:

x=40, ∠ACB=125, ∠ACD= 55

Step-by-step explanation:

In order to solve this, you have to find the x-value. We know that these angles are supplementary, which means that the angles, ∠ACB and ∠ACD, both add up to 180°.

With this information, we can conclude 3x+5+2x-25=180.

To solve this equation for x,

1. Combine like terms

5x-20=180

2. Add 20 to both sides

5x=200

3. Divide both sides by 5.

x=40

Now we have the x-value. All we have left to do is plug that in to both of the equations for the angles.

1. ∠ACB: 3(40)+5

120+5

∠ACB = 125

2. ∠ACD: 2(40)-25

80-25

∠ACD = 55

Answer:x=40

Step-by-step explanation:

5x-20=180

5x=200

X=40

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