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?
- A one-tailed test.
- A two-tailed test.
- None of the above.
b) What is the correct decision rule?
- Reject He in favour of H1 if the computed value of the statistic is less than -1.96 or greater than 1.96.
- Reject Ho in favour of H1 if the computed value of the statistic is between -1.96 and 1.96.
- Reject Ho in favour of H1 if the computed value of the statistic is less than 1.96.
- Reject Ho in favour of H1 if the computed value of the statistic is greater than 1.96.
- Reject Ho in favour of H1 if the computed value of the statistic is less than -1.64 or greater than 1.64.
- Reject Ho in favour of H1 if the computed value of the statistic is between -1.64 and 1.64.
- None of the above.
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?
- There is sufficient evidence, at the given significance level, to reject Ho. and accept H1.
- There is insufficient evidence, at the given significance level, to reject Ho.
- There is insufficient evidence to reject or not reject the null hypothesis.
e) Calculate the p-value.
For full marks your answer should be accurate to at least four decimal places.
P-value: 0