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A random sample of 25 values is drawn from a mound-shaped and symmetrical distribution. The sample...

A random sample of 25 values is drawn from a mound-shaped and symmetrical
distribution. The sample mean is 10 and the sample standard deviation is 2.
Use a level of significance of 0.05 to conduct a two-tailed test of the claim that the
population mean is 9.5.

(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) Calculate the sample test statistic t.

(d) Estimate the P-value for the test.
(e) Do we reject or fail to reject H 0 ?

Math   Statistics-And-Probability   
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