a) In a sample of 15 day care providers, it was found that their average annual...

a) In a sample of 15 day care providers, it was found that their average annual cost was $12,234 with a standard deviation of $2455. If we know that day care costs are normally distributed with a standard deviation of $2585, find a 90% confidence interval for the mean day care cost.

b) In a recent survey, 30 out of 44 homeowners believed homeowner’s insurance was necessary. Find an 80% confidence interval for the true proportion of homeowners who believe the insurance is necessary.

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