Statistics HW 13 Ch. 8

H0 =209 H1 >209 fail to reject not enough data and it is greater than.

A data set includes platelet counts (1000 cells/μL) measured from 170 adult males. In testing the claim that the population of adult males has a mean platelet count greater than 209​, the accompanying technology display is obtained.

A.fail to reject because it is greater than a B. sufficient evidence not to reject the claim.

Assume a significance level of α=0.01 and use the given information to complete parts​ (a) and​ (b) below. Original​ claim: The mean pulse rate​ (in beats per​ minute) of a certain group of adult males is 76 bpm. The hypothesis test results in a​ P-value of 0.0735.

A. reject H0 because the​ P-value is less than or equal to α. B. There is sufficient evidence to warrant rejection of the claim that the mean pulse rate​ (in beats per​ minute) of the group of adult males is 76 bpm.

Assume a significance level of α=0.05 and use the given information to complete parts​ (a) and​ (b) below. Original​ claim: The mean pulse rate​ (in beats per​ minute) of a certain group of adult males is 69 bpm. The hypothesis test results in a​ P-value of 0.0037.

since it says less than use the <. go to Statcrunch click on stats, t test, then one sample with data. fill in required boxes.

Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim. A safety administration conducted crash tests of child booster seats for cars. Listed below are results from those​ tests, with the measurements given in hic​ (standard head injury condition​ units). The safety requirement is that the hic measurement should be less than 1000 hic. Use a 0.05 significance level to test the claim that the sample is from a population with a mean less than 1000 hic. Do the results suggest that all of the child booster seats meet the specified​ requirement?

A hypothesis test​ (or test of​ significance) is a procedure for testing a claim about a property of a population.

A​ _____________ is a procedure for testing a claim about a property of a population.

A. equal to and then greater than B. to find T score use formula =SD/sqrt(N) then =mean/previous answer. ex: 22/sqrt(100) then =0.5/2.2 C. to find P value =T.DIST.RT(T score, N-1) D. fail to reject, not suffecient, greater than.

In a test of the effectiveness of garlic for lowering​ cholesterol, 100 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment. The changes​ (before minus​ after) in their levels of LDL cholesterol​ (in mg/dL) have a mean of 0.5 and a standard deviation of 22.0. Use a 0.05 significance level to test the claim that with garlic​ treatment, the mean change in LDL cholesterol is greater than 0. What do the results suggest about the effectiveness of the garlic​ treatment? Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

use =T.DIST(t score, (n-1),true) EX: =T.DIST(-2.532,5,TRUE)

The claim is that for 12 AM body​ temperatures, the mean is μ<98.6°F. The sample size is n=6 and the test statistic is t=−2.532.

since it is right tailed use =T.DIST.RT(t score, n-1, TRUE) EX: =T.DIST.RT(1.473, 51, TRUE)

The claim is that for the population of adult​ males, the mean platelet count is μ>216. The sample size is n=52 and the test statistic is t=1.473.

The null hypothesis​ (denoted by H0​) is a statement that the value of a population parameter​ (such as​ proportion, mean, or standard​ deviation) is equal to some claimed value.

The​ _________ hypothesis is a statement that the value of a population parameter is equal to some claimed value.

The power of a hypothesis test is the probability ​(1−β​) of rejecting a false null hypothesis. The value of the power is computed by using a particular significance level and a particular value of the population parameter that is an alternative to the value assumed true in the null hypothesis.

The​ _________ of a hypothesis test is the probability ​(1−β​) of rejecting a false null hypothesis.

The test statistic is a value used in making a decision about the null hypothesis. It is found by converting the sample statistic​ (such as the sample proportion p​, the sample mean x​, or the sample standard deviation​ s) to a score​ (such as​ z, t, or χ2​) with the assumption that the null hypothesis is true.

The​ ___________ is a value used in making a decision about the null hypothesis and is found by converting the sample statistic to a score with the assumption that the null hypothesis is true.

take the significance level times it by 2 then divide by 1. example: 0.1*2=.20 so 1-.20=80% contains the number so it is not.

Twelve different video games showing alcohol use were observed. The duration times of alcohol use were​ recorded, with the times​ (seconds) listed below. Assume that these sample data are used with a 0.10 significance level in a test of the claim that the population mean is greater than 85 sec.

The sample observations must be a simple random sample. and Either the population is normally​ distributed, or n>​30, or both

Twelve different video games showing violence were observed. The duration times of violence were​ recorded, with the times​ (seconds) listed below. What requirements must be satisfied to test the claim that the sample is from a population with a mean greater than 90 sec?

If the​ P-value is less than​ 0.05, the decision is to reject the null hypothesis.​ Otherwise, we fail to reject the null hypothesis.

Which of the following is NOT a criterion for making a decision in a hypothesis​ test?

Rejecting a false null hypothesis would not be an error.

Which of the following is NOT a true statement about error in hypothesis​ testing?

The​ P-value separates the critical region from the values that do not lead to rejection of the null hypothesis.

Which of the following is NOT true about​ P-values in hypothesis​ testing?

No. The sample size is not greater than​ 30, the sample does not appear to be from a normally distributed​ population, and there is not enough information given to determine whether the sample is a simple random sample.

twelve different video games... are the requirements all satisfied

mean is equal to 68.6 or it is not equal to 68.6

​Claim: The mean pulse rate​ (in beats per​ minute) of adult males is equal to 68.6 bpm. For a random sample of 145 adult​ males, the mean pulse rate is 70.1 bpm and the standard deviation is 10.5 bpm. Complete parts​ (a) and​ (b) below.