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
Write the equation: 5 more than 3 times a number is 20
zlopas [31]
5+3n=20



Gfdddbbhfdvgrdc
3 0
3 years ago
Read 2 more answers
Which is the residual value when x = -2?
Aleks [24]

Answer:

-2

Step-by-step explanation:

hope this helped!

7 0
2 years ago
Write this into a word form. Giving brainliest<br> 8n=42
steposvetlana [31]

Answer:

Step-by-step explanation:

The product of eight and some number n is equal to 42

4 0
2 years ago
F $1 \le a \le 10$ and $1 \le b \le 36$, for how many ordered pairs of integers $(a, b)$ is $\sqrt{a + \sqrt{b}}$ an integer?
svetlana [45]
You have such entry data: 
1\ \textless \ a\ \textless \ 10 \\ 1\ \textless \ b\ \textless \ 36

Consider expression \sqrt{a+ \sqrt{b} }. If this expression becomes an integer, then b=4,9,16,25, because then \sqrt{b} = 2,3,4,5, respectively. In other cases \sqrt{b} is not integer and thus the expression \sqrt{a+ \sqrt{b} } also is not integer.

1. b=4, then \sqrt{a+ \sqrt{b} }=\sqrt{a+2}. Here a=2,7 (in other cases \sqrt{a+2} is not integer). When a=2, \sqrt{a+2}=\sqrt{2+2}=2 and when a=7, \sqrt{a+2}=\sqrt{7+2}=3.

2. b=9, then a=6 and \sqrt{a+ \sqrt{b} }= \sqrt{a+3}=\sqrt{6+3}=3.

3. b=16, then a=5 and \sqrt{a+ \sqrt{b} }= \sqrt{a+4}=\sqrt{5+4}=3.

4. b=25, then a=4 and \sqrt{a+ \sqrt{b} }=\sqrt{a+5}=\sqrt{4+5}=3.

Answer: (2,4), (7,4), (6,9), (5,16), (4,25).







3 0
3 years ago
Simplify the expression.<br> 7- 5n + n + 5
kodGreya [7K]
-4n+12

Explanation-
Like terms
4 0
2 years ago
Other questions:
  • What is the value of x?<br><br> x+<img src="https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B5%7D" id="TexFormula1" title="\frac{4}{5}"
    11·1 answer
  • which residual plot shows that the line of best fit is a good model?
    6·2 answers
  • Aaron creates a stacked cake comprised of three cylindrical sections and plans to cover the top of each section with a different
    8·1 answer
  • The sum of three consecutive multiples of 7 is 777 find these multiples
    5·2 answers
  • Mai's younger brother tells her that 10/7 is equal to square root 2. Mai knows this can't be right because 10/7 is rational and
    12·1 answer
  • Rewrite using standard notation : 8.07 x 10^3
    5·1 answer
  • This are 3 different questions please help me
    10·1 answer
  • A man needed to sell a car. He priced it at 3500 the first day. The second day he reduced the price by 15%. What was the price o
    7·1 answer
  • Appreciate it if u answer the question thx
    14·1 answer
  • The median of the values in a data set is y. If 48 were subtracted from each
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!