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A sample of 51 observations has a mean of 98 and a standard deviation of 7. A second sample of 69 observations has a mean of 95 and a standard deviation of 8. Conduct a z-test of hypothesis using a 0.05 significance level.
H0: μ1 = μ2 Hi: μ2 ≠ μ2
a) What type of test is this?
b) What is the correct decision rule?
c) Compute the value of the test statistic.
For full marks your answer should be accurate to at least two decimal places.
Test statistic: 0
d) What is your decision regarding Ho?
e) Calculate the p-value.
For full marks your answer should be accurate to at least four decimal places.
P-value: 0
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