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 shown below. We found the mean of those prices to be $63.28 thousand.

a. Use this information and Procedure 8.1 on page shown below 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 317 and explain any discrepancy that you observe.

TABLE 8.1 Prices ($1000s) of 36 randomly selected new mobile homes 67.8 68.4 59.2 56.9 63.9 62.2 55.6 72.9 62.6 67.1 61.7 55.5 49.3 72.9 49.9 56.5 55.9 51.3 53.7 64.0 74.5 57.9 70.4 63.8 77.9 56.0 76.7 73.4 63.7 57.7 71.2 59.1 76.8 60.6 66.7 64.3