null hypothesis H significance. 8 against the alternative hypothesis u # 8 at the 0.05 level of %3!

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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Suppose that it is known from experience that the standard deviation of the weight of 8-ounce packages of cookies made by a certain bakery is 0.16 ounces. To check whether its production is under control on a given day, that is, to check whether the true average weight of the packages is 8 ounces, employees select a random sample of 30 packages and find that their mean weight is \( \bar{x} = 8.091 \) ounces. Since the bakery stands to lose money when \( \mu > 8 \) and the customer loses out when \( \mu < 8 \), test the null hypothesis \( \mu = 8 \) against the alternative hypothesis \( \mu \neq 8 \) at the 0.05 level of significance.
Transcribed Image Text:Suppose that it is known from experience that the standard deviation of the weight of 8-ounce packages of cookies made by a certain bakery is 0.16 ounces. To check whether its production is under control on a given day, that is, to check whether the true average weight of the packages is 8 ounces, employees select a random sample of 30 packages and find that their mean weight is \( \bar{x} = 8.091 \) ounces. Since the bakery stands to lose money when \( \mu > 8 \) and the customer loses out when \( \mu < 8 \), test the null hypothesis \( \mu = 8 \) against the alternative hypothesis \( \mu \neq 8 \) at the 0.05 level of significance.
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