Assignment 4 Essay

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Assignment-4 (Chs. 10, 12 and 13 : these chapters are marked different in the 7th ed. Chs 12 and 13 of the 6th ed are marked as Chs 13 and 14 in the 7th ed) Due by Midnight of Sunday, June 29th, 2014 (Dropbox 4): Total 125 points True/False (two points each) Chapter10 1. In an experiment involving matched pairs, a sample of 15 pairs of observations is collected. The degree of freedom for the t statistic is 14. true 2. In testing the difference between two means from two independent populations, the sample sizes do not have to be equal to be able to use the Z statistic. true 3. In testing the difference between the means of two independent populations, if neither population is normally distributed, then the sampling distribution of the…show more content…
Assume that the samples are obtained from normally distributed populations having equal variances. H0: A ≤ B, H1: A >B 1 = 12, 2 = 9, s1 = 4, s2=2, n1 = 13, n2 = 10. A. Reject H0 if Z > 1.96 B. Reject H0 if Z > 1.645 C. Reject H0 if t > 2.08 D. Reject H0 if t > 1.782 E. Reject H0 if t > 1.721 4. Given the following information about a hypothesis test of the difference between two means based on independent random samples, what is the standard deviation of the difference between the two means? Assume that the samples are obtained from normally distributed populations having equal variances. H0: A ≤ B, and H1: A > B 1 = 12, 2 = 9, s1= 5, s2 = 3, n1 =13, n2 =10. A. 1.792 B. 1.679 C. 2.823 D. 3.210 E. 1.478 Chapter 12 5. The chi-square goodness of fit is _________ a one-tailed test with the rejection region in the right tail. A. Always B. Sometimes C. Never 6. Which if any of the following statements about the chi-square test of independence is false? A. If ri is row total for row i and cj is the column total for column j, then the estimated expected cell frequency corresponding to row i and column j equals (ri) (cj)/n B. The test is valid if all of the estimated cell frequencies are at least five C. The chi-square statistic is based on (r-1)(c-1) degrees of freedom where r a nd c denote,