Suppose a random sample of 32 canned products are inspected and an average of 7 of them are reported to have been expired with a standard deviation of 2.  a) Find the sample standard deviation s for this t-distribution. b) Find the t-statistic needed for a 95% confidence interval c) Construct a 95% confidence interval for the population mean and interpret your interval.

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Suppose a random sample of 32 canned products are inspected and an average of 7 of them are reported to have been expired with a standard deviation of 2. 

a) Find the sample standard deviation for this t-distribution.

b) Find the t-statistic needed for a 95% confidence interval

c) Construct a 95% confidence interval for the population mean and interpret your interval.

d) Suppose the sample size is reduced to 15. What is the 95% confidence interval for this smaller sample?

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