Problem 6. A law student wants to check on her professor's claim that convicted embezzlers spend on average 12.6 months in jail. To test this statement, the student takes a random sample of 46 convicted embezzlers and finds that the average length of jail time for the sample is 11.7 months with a sample standard deviation of 3.6 months. Does this data indicate that the professor's statement was wrong? Use a = .05 level of significance to conduct the appropriate test. (Hint: Case II) a. State the null hypothesis. b. State the alternative hypothesis. c. Select test statistic and compute the test statistic value. d. Find the reject region (or the P-value) of your test and state your conclusion.

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Problem 6.
A law student wants to check on her professor's claim that convicted
embezzlers spend on average 12.6 months in jail. To test this statement, the student takes a
random sample of 46 convicted embezzlers and finds that the average length of jail time for the
sample is 11.7 months with a sample standard deviation of 3.6 months. Does this data indicate
that the professor's statement was wrong? Use a = .05 level of significance to conduct the
appropriate test. (Hint: Case II)
a. State the null hypothesis.
b. State the alternative hypothesis.
c. Select test statistic and compute the test statistic value.
d. Find the reject region (or the P-value) of your test and state your conclusion.
Transcribed Image Text:Problem 6. A law student wants to check on her professor's claim that convicted embezzlers spend on average 12.6 months in jail. To test this statement, the student takes a random sample of 46 convicted embezzlers and finds that the average length of jail time for the sample is 11.7 months with a sample standard deviation of 3.6 months. Does this data indicate that the professor's statement was wrong? Use a = .05 level of significance to conduct the appropriate test. (Hint: Case II) a. State the null hypothesis. b. State the alternative hypothesis. c. Select test statistic and compute the test statistic value. d. Find the reject region (or the P-value) of your test and state your conclusion.
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