Prices of New Mobile Homes. Recall that a simple random sample of 36 new mobile homes yielded the prices, in thousands of dollars, shown in Table 8.1 on page 354. We found the mean of those prices to be $63.28 thousand.

a. Use this information and Procedure 8.1 on page 361 to find a 95% confidence interval for the mean price of all new mobile homes. Recall that σ = $7.2 thousand.

b. Compare your 95% confidence interval in part

(a) to the one found in Example 8.2

(c) on page 356 and explain any discrepancy that you observe.