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  3. 2. a lawyer believes that a certain judge imposes

2. A lawyer believes that a certain judge imposes prison sentences for property crimes that are...

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Basic Math

2. A lawyer believes that a certain judge imposes prisonsentences for property crimes that are longer than the stateaverage 11.7 months. He randomly selects 36 of the judge’ssentences and obtains mean 13.8 and standard deviation 3.9months.

a) Test the hypothesis at 1% significance level.

b) Construct a 99% confidence interval for the true averagelength of sentences im- posed by this judge.

c) Construct a 95% confidence interval for the true averagelength of sentences im- posed by this judge.

d) Compare the margins of error from b) and c).

Answer & Explanation Solved by verified expert
4.5 Ratings (863 Votes)
Part a To Test H0 117 H1 117 Test Statistic t X S n t 138 117 39 36 t 32308 Test Criteria Reject null hypothesis if t t n1 Critical value t n1 t001 361 2438 From t table t t n1 32308 2438 Result Reject null hypothesis Decision    See Answer
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