Your friend claims that his commute time to work is different than his commute time returning home for the same day. Suppose that data were collected for a random set of 11 days, where each difference is calculated by subtracting the commute time to work from the commute time returning home. Assume that the populations are normally distributed. The test statistic is t ~ -1.788, α = 0.01 , the corresponding rejection regions are K-3. 169 and t 〉 3·169, the null hypothesis is Ho Ha0, and the alternative hypothesis is Ha: Hd + 0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the commute time to work and the commute time returning home is significantly not equal to zero? Select all that apply: Reject the null hypothesis that the true mean difference between the commute time to work and the commute time returning home is equal to zero. Fail to reject the null hypothesis that the true mean difference between the commute time to work and the commute time returning home is equal to zero. Based on the results of the hypothesis test, there is enough evidence at the α = 0.01 level of significance to support the claim that the true mean difference between your friend's commute times to work and commute times returning home on the same day is not equal to zero. Based on the results of the hypothesis test, there is not sufficient evidence at the α-0.01 level of significance to suggest that the true mean difference between your friend's commute times to work and commute times returning home on the same day is not equal to zero.

A random sample of n=16 scores is obtained from a population with a standard deviation of 16. If the sample mean is greater than 8 points greater than the population mean, what is the z-score for the sample mean?

A researcher is studying how much electricity (in kilowatt hours) people from two different cities use in their homes. Random samples of 13 days from Nashville (Group 1) and 14 days from Cincinnati (Group 2) are shown below. Test the claim that the mean number of kilowatt hours in Nashville is less than the mean number of kilowatt hours in Cincinnati. Use a significance level of a = 0.10. Assume the populations are approximately normally distributed with unequal variances. Round answers to 4 decimal places. Nashville Cincinnati 902.6 892.9 904.9 897.5 905.2 904.1 911.4 883.9 898.7 887.7 889.7 907.2 899.1 Ho: M₁ What are the correct hypotheses? Note this may view better in full screen mode. Select the correct symbols for each of the 6 spaces. 921.2 931.1 908.3 939.6 898 934.6 906.6 921.2 907.5 902.4 883.6 893.1 Test Statistic = 941.4 923.6 p-value = H₁: M₁ Based on the hypotheses, find the following: H₁₂ H₂ Or

Gestation period is the length of pregnancy, or to be more precise, the interval between fertilization and birth. In Syrian hamsters, the average gestation period is 16 days. Suppose you have a sample of 31 Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups, and who have an average gestation length of 17.1 days and a sample variance of 26.0 days. You want to test the hypothesis that Syrian hamsters who were exposed to high levels of the hormone progesterone when they were pups have a different gestation length than all Syrian hamsters.   Calculate the t statistic. To do this, you first need to calculate the estimated standard error. The estimated standard error is sMM= a. 31, b. 0.5232, c. 0.7328, d. 0.9158.    The t statistic is- a. 1.50, b. 2.10, c. 2.63, d. 1.20     Now suppose you have a larger sample size n = 95. Calculate the estimated standard error and the t statistic for this sample with the same sample average and the same…