Consider the null hypothesis that the average weight of male students in a certain college is 68 kilograms against the alternative hypothesis that it is unequal to 68. Ho:=68; Ha: 68. If the rejection region is <66 or > 69; Assume the standard deviation of the population of weights to be σ = 4. (a) With a random sample of size n = 25, calculate Type I error and Type II error (assuming μ= 69 when calculating Type II error). (b) How many samples are needed to achieve a Type II error when μ = 69 is 0.1 and Type I error is 0.1?
Consider the null hypothesis that the average weight of male students in a certain college is 68 kilograms against the alternative hypothesis that it is unequal to 68. Ho:=68; Ha: 68. If the rejection region is <66 or > 69; Assume the standard deviation of the population of weights to be σ = 4. (a) With a random sample of size n = 25, calculate Type I error and Type II error (assuming μ= 69 when calculating Type II error). (b) How many samples are needed to achieve a Type II error when μ = 69 is 0.1 and Type I error is 0.1?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 14PPS
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