# Hypothesis test: sample of 100

Consider the following hypothesis test:

HO: Âµ â‰¥ 80

Ha: Âµ < 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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Answer

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.