Conduct the stated hypothesis test for μ 1− μ 2. μ 1− μ 2. Assume that the samples are independent and randomly selected from normal populations with equal population variances ( σ 12= σ 22)( σ 12= σ 22). H0 : μ 1− μ 2=0�0 : μ 1− μ 2=0 H1 : μ 1− μ 2 < 0�1 : μ 1− μ 2 < 0 α =0.05 α =0.05 n1=30�1=30 x̄ 1=8.61 x̄ 1=8.61 s1=1.39�1=1.39 n2=22�2=22 x̄ 2=9.37 x̄ 2=9.37 s2=1.23�2=1.23 T-Distribution Table a. Calculate the test statistic. t= Round to three decimal places if necessary b. Determine the critical value(s) for the hypothesis test. = Round to three decimal places if necessary c. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject

Conduct the stated hypothesis test for μ 1− μ 2. μ 1− μ 2. Assume that the samples are independent and randomly selected from normal populations with equal population variances ( σ 12= σ 22)( σ 12= σ 22). H0 : μ 1− μ 2=0�0 : μ 1− μ 2=0 H1 : μ 1− μ 2 < 0�1 : μ 1− μ 2 < 0 α =0.05 α =0.05 n1=30�1=30 x̄ 1=8.61 x̄ 1=8.61 s1=1.39�1=1.39 n2=22�2=22 x̄ 2=9.37 x̄ 2=9.37 s2=1.23�2=1.23 T-Distribution Table a. Calculate the test statistic. t= Round to three decimal places if necessary b. Determine the critical value(s) for the hypothesis test. = Round to three decimal places if necessary c. Conclude whether to reject the null hypothesis or not based on the test statistic. Reject Fail to Reject

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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H0 : μ 1− μ 2=0�0 : μ 1− μ 2=0	H1 : μ 1− μ 2 < 0�1 : μ 1− μ 2 < 0	α =0.05 α =0.05
n1=30�1=30	x̄ 1=8.61 x̄ 1=8.61	s1=1.39�1=1.39
n2=22�2=22	x̄ 2=9.37 x̄ 2=9.37	s2=1.23�2=1.23