Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 15 \ months[/tex]
The sample size is n = 25
The sample mean is [tex]\= x = 17 \ months[/tex]
The standard deviation is [tex]s = 5.5 \ months[/tex]
Let assume the level of significance of this test is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 15[/tex]
The alternative hypothesis is [tex]H_a : \mu > 17[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n -1[/tex]
=> [tex]df = 25 -1[/tex]
=> [tex]df = 24[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }[/tex]
=> [tex]t = 1.8182[/tex]
Generally from the student t distribution table the probability of obtaining [tex]t = 1.8182[/tex] to the right of the curve at a degree of freedom of [tex]df = 24[/tex] is
[tex]p-value = P(t > 0.18182 ) = 0.4286[/tex]
From the value obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Volume = cm3 cylinder
Which answer choice represents the difference of 20 and 3 times a number?
A) 3j + 20
B) 20(3j)
C) 20 - 3j
D) (20 • 3)j
Derek wants to buy a skateboard for $56.00. The store
is offering a discount of 5% on all items. What price will
Derek pay for the skateboard, not including tax?
Answer: 53.2$
Step-by-step explanation:
5/100 × 56 = 2.8
So, 56.00 $ - 2.8$ = 53.2$
The ratio of 6th grade students to 7th grade students in a soccer league is 15:10. If there are 100 students in all, how many 7th graders are there?
Answer:
40 7th Graders
Step-by-step explanation:
First you add all of the students to get 25. Then you divide 100 by 25 to get 4 (this is gonna be your multiplier) now multiply each part of the ration by 4, and you get 60 6th graders and 40 7th graders :D.
A triangle has ∠1 and ∠2 as remote interior angles with respect to exterior angle ∠3. Given that m∠1 = 50 and m∠2 = 70, Alicia reasoned that m∠3 must be 60. Is Alicia correct? If not, explain Alicia's error.
Answer:
No, 60 is the third interior angle's mesure, not the exterior ∠3.
Step-by-step explanation:
Say that ∠1=∠A=50 and ∠2=∠B=70. The remote interior angles are the angles that are not touvhing the exterior angle. So ∠3 would be the the exterior angle to ∠C. ∠C=60 as the sum of the interior angles is 180.
The exterior angle is the angle formed by extending one of the triangle's sides. A straight line has the angle 180, so∠3=180-∠C=180-60=120.
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are between 2.21 and 3.01?
Answer:
68%
Step-by-step explanation:
We start by calculating the z-scores of both
z-score = (x-mean)/SD
for 2.21
z-score = (2.21-2.61)/0.4 = -1
For 3.01
z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1
So what we want to find is the percentage between -1 SD and 1 SD of the mean
This is the percentage corresponding to the probability
P(-1 < x < 1)
According to the empirical rule, this is a value of;
68.269%
¿Cual es el monto producido por un capital de 7200 colocados al 4% anual durante 3 años y 4 meses ? ( interés)
What is 140% of a dollar
Answer:
1.4 U.S. Dollar
Step-by-step explanation:
Suppose that the flying hours for aircraft operated by regional airlines in the U.S. during 2006 are normally distributed with mean 2500 and standard deviation 400. Find the number of flying hours such that about 97.5% of the aircraft has flying hours exceeding this number.
A) 1,700
B) 2,100
C) 2.500
D) 2,900
E) 3,300
Answer:
Step-by-step explanation:
Given that :
Mean (μ) = 2500
Standard deviation (σ) = 400
P = 97.5% = 0.975
Zscore corresponding to p(z > x) = 0.975
Z = - 1.96 ( Z probability calculator)
Using the relation :
Zscore = (score (x) - μ) / σ
-1.96 = (x - 2500) / 400
x - 2500 = 400 * - 1.96
x - 2500 = - 784
x = - 784 + 2500
x = 1716
Hence, number of flying hours required is 1716
ASAP plz I need help
Answer: 30
Step-by-step explanation:
Plug in x for the expression
6^2 + x - x^2
36 + (3) - (3)^2
36 + 3 - 9
39 - 9
= 30
A recipe needs 1/2 cup of water for every 2 cups of sugar. If you plan to use 8 cups of sugar, how much water will you need?
Answer:
you need 2 cups of water. :)
Step-by-step explanation:
37 POINTS PLEASE HELPPPPP!!!!!!
Solution:
We can see that each term when subtracted by 4, gives the next term.
This means that:
n₁ - 4(2) + 4(1) = n₂Let's substitute the values to check:
=> n₁ - 4(2) + 4(1) = n₂ => n₁ - 8 + 4 = n₂ => n₁ - 4 = n₂ => 18 - 4 = 14=> 14 = 14 (Proved)Now, we can find the nth term aₙ by using the formula:
18 - 4(nth term) + 4(1) = Value of nth termTo check that the formula is correct, let's substitute the value of nth as the fifth term of the sequence.
18 - 4(nth term) + 4(1) = Value of nth term=> 18 - 4(5) + 4(1) = Value of 5th term=> 18 - 4(5) + 4(1) = Value of 5th term=> 18 - 20 + 4 = Value of 5th term=> 18 - 16 = Value of 5th term=> 2 = Value of 5th termNow, let's find the fifth term mentally. Keep subtracting 4 until you reach the fifth term.
=> 18 - 4 = Second term of sequence=> 14 = Second term of sequence=> 14 - 4 = Third term of sequence=> 10 = Third term of sequence=> 10 - 4 = Fourth term of sequence=> 6 = Fourth term of sequence=> 6 - 4 = Fifth term of sequence=> 2 = Fifth term of sequenceWe are getting the same result from both ways.
In conclusion, our formula to find the nth term is "18 - 4(nth term) + 4(1)".
Peter buys 8.5 square feet of carpet. The carpet costs $10.20 per square foot. How much does Peter pay for the carpet?
Answer:
$86.70
Step-by-step explanation:
Answer: $86.7
Step-by-step explanation: because you have to multiply them
Brian’s birthday is on 10 January and he is having a party that day. Five days before this, he is meeting his brother for lunch and ten days after his birthday he is meeting his sister for lunch. Both of these lunch meetings are at the weekend (i.e. on Saturday or Sunday). On which day of the week is Brian’s birthday?
Answer:
wednesday i think idk (sorry if wrong)
Step-by-step explanation:
What is the answer to 5 3x + 12- 6x = -9
Answer:
x=-21/47
Step-by-step explanation:
Answer:
[tex]x=7[/tex]
Step-by-step explanation:
Step-By-Step on how to solve it is in the attached picture below.
Hope this helps! :)
Jackie drinks a bottle of water and a bottle of orange juice every morning.
The bottle of water has 16.9 ounces. The bottle of orange juice has 15.2 ounces.
Which is the best estimate for the total amount Jackie drinks in the morning for an entire week
and gives a good explanation for that estimate?
Answer:
15.30
Step-by-step explanation:
use code tiko
Answer:
ayo what
Step-by-step explanation:
What is An equivalent fraction to 1/2 with a denominator as 10?
Answer:5/10
Step-by-step explanation:
1/2 x 5 = 5/10
I need the answer of this, can you tell me the answer plz ( i need the eleventh one )
Answer:
I believe the area will double
well the area is affected because it will be double the size that it originally was
area=16×24
Find the product
-3(5) I need help
Answer:
-15
Step-by-step explanation:
() means to multiply
So, -3(5) = -3 x 5 = -15
Answer: -15
The question asks you to find the "product," which means the result of multiplying. Both the word "product" and the parentheses indicate that you have to multiply.
Since it's a negative (-) multiplied by a positive (+), your product will be negative (-).
So, -3(5) = -15.
Two elves can make 5 toys in 10 minutes How many toys can 4 elves make in 30 minutes?
Answer:
30 toys
Step-by-step explanation:
PLEASE MARK BRAINLIEST
The average starting salary for this year's graduates of a large community college is $30,000 with a standard deviation of $8,000. Furthermore, it is known that the starting salaries are normally distributed. a. What is the probability that a randomly selected LU graduate will have a starting salary of at least $30,400? b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break? c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates? d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?
Answer:
0.048 ; 0.03593 ; (14320, 45680) ; 6000
Step-by-step explanation:
Given a normal distribution :
Mean salary (m) = $30000
Standard deviation (s) = $8000
A.) probability of having a starting salary of atleast 30400
P(x ≥ 30400)
Obtain the standardized value (Z) :
Z = (x - m) / s
Z = (30400 - 30000) / 8000
Z = 400 / 8000 = 0.05
P(Z ≥ 0.05) = 0.48006 (Z probability calculator)
b. Individuals with starting salaries of less than $15,600 receive a low income tax break. What percentage of the graduates will receive the tax break?
P(X < 15600)
Obtain the standardized value (Z) :
Z = (x - m) / s
Z = (15600 - 30000) / 8000
Z = - 14400 / 8000 = - 1.8
P(Z < - 1.8) = 0.03593
c. what are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?
Zscore which corresponds to 0.95 is 1.96
Minimum:
-1.96 = (x - 30000) / 8000
-15680 = x - 30000
x = 14320
Maximum :
1.96 = (x - 30000) / 8000
15680 = x - 30000
x = 45680
d. If 303 of the recent graduates have salaries of at least $43,120, how many students graduated this year from this university?
P(X ≥ 43120)
Z = (43120 - 30000) / 8000
Z = 13120 / 8000
Z = 1.64
P(Z ≥ 1.64) = 0.050503
Hence,
0.050503 = 303
1 = x
x = 303 / 0.05050
= 6000
In 2010, there were approximately 75,000 songs released all year.
Approximately how many songs were released per month?
Mr.Lester needs less than 1/2 cup but more than 1/3 cup of flour to make a sauce.Which of the following could be the amount of flour that he needs?
Answer:1/4
Step-by-step explanation:
what is -2.24?
A. -224
B.-2.24
C. 2.24
D. 224
HURRY,HURRY,HURRY. IF CORRECT I GIVE BRAINLIEST.
Answer: B) -2.24
Step-by-step explanation:
Answer: it’s -2.24
Step-by-step explanation:
Because it’s already in decimal form and since it’s a negative decimals number it is -2.24
help me pls!! thank u!!
Answer:
22.916666666 The six is repeated
Step-by-step explanation:
10/12=8.3333333 and 8.3333333*27.5=22.916666666 repeated
Answer:
About 23
Step-by-step explanation:
Weight x 0.83333 = medication
so, 27.5 x 0.83333 = 22.825 (rounded to 23)
What’s the unite rate
Answer:
unit rate is that which compares two unit.
Which of these triangle pairs can be mapped to each other using a reflection
and a translation? Triangles LRK and ARQ are connected at point R.
Triangle L R K is reflected across point R to form triangle ARQ. Triangles LP
Kand QR A are shown. Triangle LPK is reflected across a line to form
triangle QRA. Triangle QR A is shifted to the right of triangle L P K. Triangles
LPK and QR A are shown. Triangle LPK is shifted down and to the left to
form triangle QRA. Triangles LP K and QR A are shown. Triangle LPK is
rotated to form triangle QRA. Triangle QR A is also shifted to the right.
Answer:
b
Step-by-step explanation:
b b b b b b b b b b b b b b b b b b b b bb b b b b b b b b b b b b b b b b b
yes
Simplify square root 3^15
Answer:
Take the square root of 3 then raise it to the 15 th power, i.e. (√3)15. Raise 3 to the 15 th power then take the square root, i.e. √315.
Answer:
D
Step-by-step explanation:
3^7 square root of 3
Can someone help me ASAP!!!
Answer:
3x+y=2
Step-by-step explanation:
Just remember that standard form is expressed as Ax+By=C. I also attached a picture to prove that 3x+y=2 is the standard form equation that makes up the line.
Hope this helps and answers your question :)
When Brandon went bowling,it cost $4.95 per game, plus a one-time fee to rent shoes. Brandon played 5 games and paid $32. Write and solve a linear equation to find the cost to rent the shoes.
Answer:
$7.25
Step-by-step explanation:
4.95 x 5 = 24.75
32-24.75 = 7.25