The number of wait listed kidney transplants in Ontario have greatly increased in the past decade. In a recent Statistics Canada report, wait lists had a mean of 531 days. After introducing a new...

The number of wait listed kidney transplants in Ontario have greatly increased in the past decade. In a recent Statistics Canada report, wait lists had a mean of 531 days. After introducing a new legislative policy, a study tested the result with a sample of 250 accommodating hospitals across Ontario with a sample mean of 490 days and a standard deviation of 58.7 days.

a.
Construct the
98%
confidence interval for the true mean waitlisted time of kidney transplants under the new policy.

 Point Estimate = Point Estimate =

Standard error=Standard error=

Z=±Z=±

E=E=

98% confidence interval is (98% confidence interval is (

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) to nearest days.) to nearest days.

b.
Does this result tell us that the waitlist time has decreased significantly at the 2% level of significance?