a) The standard deviations of both populations are known, so use the z statistic; the significance level is given as 0.05, as this is an one-tailed test, the rejection region of 0.05 lies in the right tail of the distribution (the > in the H1 hypothesis indicates right tail). As the significance level of 0.05 is found in the t-distribution table, look up the value of z under infinity degrees of freedom (if the significance level given in the problem is not found in the t-distribution table, then look up the value in the z table). b) Calculate z (use the formula 11-2 on page 313 in the text) c) Compare the z critical value and the z calculated value to take a decision regarding Ho

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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a) The standard deviations of both populations are known, so use the z statistic; the
significance level is given as 0.05, as this is an one-tailed test, the rejection region of
0.05 lies in the right tail of the distribution (the > in the H1 hypothesis indicates right tail).
As the significance level of 0.05 is found in the t-distribution table, look up the value of z
under infinity degrees of freedom (if the significance level given in the problem is not
found in the t-distribution table, then look up the value in the z table).
b) Calculate z (use the formula 11-2 on page 313 in the text)
c) Compare the z critical value and the z calculated value to take a decision regarding
Ho
Transcribed Image Text:a) The standard deviations of both populations are known, so use the z statistic; the significance level is given as 0.05, as this is an one-tailed test, the rejection region of 0.05 lies in the right tail of the distribution (the > in the H1 hypothesis indicates right tail). As the significance level of 0.05 is found in the t-distribution table, look up the value of z under infinity degrees of freedom (if the significance level given in the problem is not found in the t-distribution table, then look up the value in the z table). b) Calculate z (use the formula 11-2 on page 313 in the text) c) Compare the z critical value and the z calculated value to take a decision regarding Ho
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