a) Test the hypothesis that the average output voltage is 130 against the alternative that it is less than 130. Use a test with level 0.05. b) Find the critical region if a = 0.05 c) If the voltage falls as low as 128, serious consequences may result. For testing Ho: µ = 130 versus Hq: µ = 128, find the probability of a type II error, ß.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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1. The output voltage for an electric circuit is specified to be 130. A sample of 40 independent
readings on the voltage for this circuit gave a sample mean of 128.6 and a standard deviation
of 2,1.
a) Test the hypothesis that the average output voltage is 130 against the alternative that it is
less than 130. Use a test with level 0.05.
b) Find the critical region if a = 0.05
c) If the voltage falls as low as 128, serious consequences may result. For testing
Ho: u = 130 versus H,: µ = 128, find the probability of a type II error, B.
II
Transcribed Image Text:1. The output voltage for an electric circuit is specified to be 130. A sample of 40 independent readings on the voltage for this circuit gave a sample mean of 128.6 and a standard deviation of 2,1. a) Test the hypothesis that the average output voltage is 130 against the alternative that it is less than 130. Use a test with level 0.05. b) Find the critical region if a = 0.05 c) If the voltage falls as low as 128, serious consequences may result. For testing Ho: u = 130 versus H,: µ = 128, find the probability of a type II error, B. II
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