A random sample has 49 values. The sample mean is 8.5 and the sample standard deviation is 1.5. Use a level of significance of 0.01 to conduct a left-handed test of the claim that the population mean is 9.2. Is it appropriate to use a Student’s t distribution? How many degrees of freedom do we use? What are the hypotheses? Compute the t value of the sample test statistic. Estimate te P-value for the test. Do we reject or fail to reject the null hypotheses Ho ? Interpret the results.
A random sample has 49 values. The sample mean is 8.5 and the sample standard deviation is 1.5. Use a level of significance of 0.01 to conduct a left-handed test of the claim that the population mean is 9.2.
- Is it appropriate to use a Student’s t distribution? How many degrees of freedom do we use?
- What are the hypotheses?
- Compute the t value of the sample test statistic.
- Estimate te P-value for the test.
- Do we reject or fail to reject the null hypotheses Ho ?
- Interpret the results.
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Basic Computation: Testing μ, σ Unknown
A random sample has 49 values. The sample mean is 8.5 and the sample standard deviation is
1.5. Use a level of significance of 0.01 to conduct a left-handed test of the claim that the
population mean is 9.2.
(a) Is it appropriate to use a Student’s t distribution? Explain. How many degrees of
freedom do we use?
(b) What are the hypotheses?
(c) Compute the t value of the sample test statistic.
(d) Estimate the P-value for the test.
(e) Do we reject or fail to reject the null hypotheses H0 ?
(f) Interpret the results.
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