Mathematics, 05.05.2020 22:39, nataliajaquez02

A sports statistician claim that the mean winning times for boston marathon women's open division champions is at least 2.68 hours. the mean winning time of a sample of 30 randomly selected boston marathon women's open division champions is 2.60 hours. assume the population standard deviation is 0.32 hours. at the 5% level of significance can you reject the claim? use the p-value approach.

Answers: 3

Show answers

Answers

answered: canyonmorlan

We conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

Step-by-step explanation:

We are given that a sports statistician claim that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

The mean winning time of a sample of 30 randomly selected Boston marathon women's open division champions is 2.60 hours. assume the population standard deviation is 0.32 hours.

Let $\mu$ = mean winning times for Boston marathon women's open division champions.

So, Null Hypothesis, H_0 : $\mu\geq$ 2.68 hours {means that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours}

Alternate Hypothesis, H_A : p < 2.68 hours {means that the mean winning times for Boston marathon women's open division champions is less than 2.68 hours}

The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\bar X$ = sample mean winning time = 2.60 hours

$\sigma$ = population standard deviation = 0.32 hours

n = sample of women's open division champions = 30

So, test statistics = $\frac{2.60-2.68}{\frac{0.32}{\sqrt{30} } }$

= -1.37

The value of z test statistics is -1.37.

Now, P-value of the test statistics is given by following formula;

P-value = P(Z < -1.37) = 1 - P(Z $\leq$ 1.37)

= 1 - 0.9147 = 0.0853

Since, P-value of the test statistics is more than the level of significance as 0.0853 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean winning times for Boston marathon women's open division champions is at least 2.68 hours.

answered: Guest

I’d go with b hope it

answered: Guest

- 70

this is the answer for you hope it

Other questions on the subject: Mathematics

Mathematics, 21.06.2019 20:20, alinton06

How do the number line graphs of the solutions sets of -23 > x and x-23 differ?

Answers: 1

continue

Mathematics, 21.06.2019 21:20, ghopk5929

Rose bought a new hat when she was on vacation. the following formula describes the percent sales tax rose paid b=t-c/c

Answers: 3

continue

Mathematics, 21.06.2019 22:30, jadeochoa4466

Aflagpole broke in a storm. it was originally 8 1 81 feet tall. 2 8 28 feet are still sticking straight out of the ground, where it snapped, but the remaining piece has hinged over and touches the ground some distance away. how far away is the end of the pole from the base of the pole along the ground?

Answers: 1

continue

Mathematics, 22.06.2019 00:30, trujillo03

1.3.25 question suppose 40â€‹% of all voters voted for a particular candidate. to simulate exit polls regarding whether or not voters voted for thisâ€‹ candidate, five random samples of size 1010 and five random samples of size 10001000 have been generated using technology using a population proportion of 0.400.40â€‹, with the accompanying results. complete parts a through c below. click the icon to view the simulation results. a. observe how the sample proportions of successes vary around 0.400.40. simulation compared to sample prop simulation compared to sample prop 1 â–ľ 6 â–ľ greater than 0.40 less than 0.40 equal to 0.40 2 â–ľ less than 0.40 greater than 0.40 equal to 0.40 7 â–ľ greater than 0.40 less than 0.40 equal to 0.40 3 â–ľ greater than 0.40 less than 0.40 equal to 0.40 8 â–ľ equal to 0.40 greater than 0.40 less than 0.40 4 â–ľ greater than 0.40 equal to 0.40 less than 0.40 9 â–ľ less than 0.40 greater than 0.40 equal to 0.40 5 â–ľ equal to 0.40 less than 0.40 greater than 0.40 10 â–ľ equal to 0.40 greater than 0.40 less than 0.40 click to select your answer(s) and then click check answer. 2 parts remaining clear all check answer

Answers: 3

continue

Do you know the correct answer?

A sports statistician claim that the mean winning times for boston marathon women's open division ch...