Mathematics, 19.05.2021 18:40 corvettapj6583

An online streaming service providing television programs claims that a 30-minute program will stream with advertisements that average 45 seconds. A consumer advocacy group is investigating to see if this claim is true. They recorded the times of 21 randomly selected advertisements. The times are listed below: Time (seconds) 45 45 43 50 50 45 43 50 45 49 46 48 42 46 44 52 48 45 46 50 48
The mean and standard deviation for these times are 46.67 and 2.78 seconds respectively. Do these data provide convincing evidence that the true mean advertisement length is longer than 45 seconds?

Answers: 2

Show answers

Answers

Answer from: 2020IRodriguez385

The p-value is significantly low(<0.01), which means that the data provides convincing evidence that the true mean advertisement length is longer than 45 seconds.

Step-by-step explanation:

An online streaming service providing television programs claims that a 30-minute program will stream with advertisements that average 45 seconds. Test if the true mean advertisement length is longer than 45 seconds.

At the null hypothesis, we test if the mean time is of 45 seconds, that is:

$H_0: \mu = 45$

At the alternate hypothesis, we test if the mean is more than 45 seconds, that is:

$H_1: \mu 45$

The test statistic is:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

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

45 is tested at the null hypothesis:

This means that $\mu = 45$

They recorded the times of 21 randomly selected advertisements. The mean and standard deviation for these times are 46.67 and 2.78.

This means that n = 21, X = 46.67, s = 2.78

Value of the test-statistic:

$t = \frac{X - \mu}{\frac{s}{\sqrt{n}}}$

$t = \frac{46.67 - 45}{\frac{2.78}{\sqrt{21}}}$

t = 2.75

P-value of the test and decision:

The p-value of the test is the probability of finding a sample mean above 46.67, which is a right-tailed test, with t = 2.75 and 21 - 1 = 20 degrees of freedom.

With the help of a calculator, this p-value is of 0.0062.

The p-value is significantly low(<0.01), which means that the data provides convincing evidence that the true mean advertisement length is longer than 45 seconds.

Answer from: Quest

The 40 would include the shirt and on and on

Answer from: Quest

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1

Another question on Mathematics

Mathematics, 20.06.2019 18:04

Venus is about 108 kilometers from the sun. saturn is about 109 kilometers from the sun. about how many times farther from the sun is saturn than venus?

Answers: 1

Answer

Mathematics, 21.06.2019 17:00

The graph of f(x), shown below, resembles the graph of g(x) = x2, but it has been changed somewhat. which of the following could be the equation of f(x)?

Answers: 2

Answer

Mathematics, 21.06.2019 20:00

Apatient is to be given 35 milligrams of demerol every 4 hours. you have demerol 50 milligrams/milliliter in stock. how many milliliters should be given per dose?

Answers: 2

Answer

Mathematics, 22.06.2019 01:30

Travis and paula went to lunch.travis ordered a sandwich for $7.50 and paula ordered a burger for $5.25.after lunch,they left a 15% tip for the waiter.how many money did they spend altogether?

Answers: 3

Answer

You know the right answer?

An online streaming service providing television programs claims that a 30-minute program will strea...

Questions