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# Hypothesis test: sample of 100

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Consider the following hypothesis test:

HO: µ ≥ 80
Ha: µ < 80

A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use a = .01.

a) x = 78.5
b) x = 77
c) x = 75.5
d) x = 81

https://brainmass.com/statistics/hypothesis-testing/hypothesis-test-sample-460193

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The test Statistic is given by Z = (X - u)/(sigma/sqrt(n)) = (X - 80)/(12/sqrt(100))
Significance level = 0.01
Decision rule : Reject the null hypothesis if the p value is less than the significance level.
Details
Z Test of Hypothesis for the Mean

Data
Null Hypothesis m= 80
Level of ...

#### Solution Summary

This solution provides a step by step method for computing test statistic for one sample t test is given in the answer. The sample size and the population standard deviation and p-value is calculated for various sample means.

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