Given a sample mean of 94.3, a sample standard deviation of 8.4, and a sample size of 6, test the hypothesis that the value of the population mean is 100 against the alternative hypothesis that it is less than 100. Use the 0.05 significance level.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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1) Given a sample mean of 94.3, a sample standard deviation
of 8.4, and a sample size of 6, test the hypothesis that the value
of the population mean is 100 against the alternative hypothesis
that it is less than 100. Use the 0.05 significance level.
2) If a sample of 25 observations reveals a sample mean of 52
and a sample variance of 4.2, test the hypothesis that the
population mean is 65 against the alternative hypothesis that it
is some other value. Use the 0.01 significance level.

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