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...

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 H_o
  ?


• Interpret the results.