1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ValentinkaMS [17]
2 years ago
12

a website would like to test the hypotheis that the average length of an online video watched by a user is more than 8 minutes.

A random sample of 37 people watched onlinevideos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. The website owners would like to set =.02 what is the conclusion for this hyptohesis test
Mathematics
1 answer:
loris [4]2 years ago
3 0

Answer:

The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.

Step-by-step explanation:

A website would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes.

At the null hypothesis, we test if the mean is of 8 minutes, that is:

H_0: \mu = 8

At the alternate hypothesis, we test if the mean is of more than 8 minutes, that is:

H_a: \mu > 8

The test statistic is:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

8 is tested at the null hypothesis:

This means that \mu = 8

A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes.

This means that n = 37, X = 8.7, \sigma = 2.5

Test statistic:

z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{8.7 - 8}{\frac{2.5}{\sqrt{37}}}

z = 1.70

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 8.7, which is 1 subtracted by the p-value of z = 1.7.

Looking at the z-table, z = 1.7 has a p-value of 0.9554

1 - 0.9554 = 0.0446

The p-value of the test is 0.0446 > 0.02, which means that we do not reject the null hypothesis that the average length of an online video watched by a user is of 8 minutes.

You might be interested in
Simplify this expression: 13 + (–12) – (–5) = ? <br> A. –30<br> B. –6<br> C. 6<br> D. 30
anygoal [31]
13+(-12) - (-5) \\ \\ 13 - 12 + 5 \\ \\ 6 \\ \\ Answer: \fbox {C) 6}
4 0
3 years ago
Read 2 more answers
Please help meASAP<br><br> And show any work possible.
lubasha [3.4K]

Answer:

A is the answer you have to multiply them by 8 and you get a as an answer.....

Love you!!!!!!.

Step-by-step explanation:

7 0
3 years ago
Given a mean of 24.5 and a standard deviation of 1.7 what is the z score of the value 24 rounded to the nearest tenth?
Softa [21]
The correct answer is B) -0.3

Z-scores are found using the formula

z = (X-μ)/σ

For this problem, we have

z = (24-24.5)/1.7 = -0.5/1.7 = -0.3
3 0
3 years ago
Ronnie has c comic books. Mei has 5 times as many comic books as Ronnie. Write an expression that shows how many comic books Mei
SpyIntel [72]
Ronnie = c
Mei = 5*c = 5c
5 0
3 years ago
Read 2 more answers
Please answer this correctly
V125BC [204]

Answer:

1/6

Step-by-step explanation:

P(8) = number of 8's / total = 1/3

Then keeping the card so we have 7 and 9

P(7) =  number of 7's / total = 1/2

P(8, keep, 7) = 1/3 * 1/2 = 1/6

4 0
3 years ago
Other questions:
  • In square meters, what is the area of a single face of a cube that has a volume of 125 cubic meters?
    15·1 answer
  • What is the solution to (5m)² - (2n-3m)³ if m=-3 and n=5
    9·1 answer
  • *select all that apply
    11·1 answer
  • Subtract 5x−2 ​​from​ −3x+4 .
    13·1 answer
  • Which of the following expressions are equivalent ?
    13·1 answer
  • Express 11011 in base two ​
    5·1 answer
  • Sixty photos taken at a photo shoot are in black and white. If this represents 15 percent of the total number of photos taken, w
    11·1 answer
  • Which shows the numbers 8/10, 0.9, 1/2, 0.6 in order from least to greatest?
    7·1 answer
  • Which of the following is the solution to |x|-5&lt;= -13?
    5·1 answer
  • I need answer on this problem tyt​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!