de 8 female students is 158.2 cm. The mean height of a sample of 100 female students is 160 cm with a standard deviation of 6 cm. For example: A clean air standard requires that vehicle exhaust emissions not exceed specified limits for various pollutants. Many states require that cars be tested annually to be sure they meet these standards. Suppose state regulators double-check a random sample of cars that a suspect repair shop has certified as okay. They will revoke the shop’s license if they find significant evidence that the shop is certifying vehicles that do not meetstandards. a) In this context, what is a Type I error? the regulators decide that the shop is not meeting standards when they actually are meeting the standards. b) In this context, what is a Type II error? the regulators certify the shop when they are

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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 Analyze the scenario and formulate situations where type I and type II errors will be committed. The average height of grade 8 female students is 158.2 cm. The mean height of a sample of 100 female students is 160 cm with a standard deviation of 6 cm.

For example: A clean air standard requires that vehicle exhaust emissions not exceed specified limits for various pollutants. Many states require that cars be tested annually to be sure they meet these standards. Suppose state regulators double-check a random sample of cars that a suspect repair shop has certified as okay. They will revoke the shop’s license if they find significant evidence that the shop is certifying vehicles that do not meetstandards.
a) In this context, what is a Type I error?
the regulators decide that the shop is not meeting standards when they actually are meeting the standards.
b) In this context, what is a Type II error?
the regulators certify the shop when they are not meeting the standards. 

 

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