In a simple random sample of 30 shoppers at Greedgate Mall, the sample mean amount spent last week was $259.48, with a sample standard deviation s = $39.18. a) Find a 95% confidence interval for the...

In a simple random sample of 30 shoppers at Greedgate Mall, the sample mean amount
spent last week was $259.48, with a sample standard deviation s = $39.18.
a) Find a 95% confidence interval for the true mean weekly amount spent last week by
Greedgate shoppers.

b) Will this interval allow us to conclude that the mean amount spent is less than
$275? Explain.