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
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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.
Z Test of Hypothesis for the Mean
Null Hypothesis m= 80
Level of ...
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.