A podiatrist recorded the recovery time, in days, for 38 patients. He was trying out a new procedure and hoped the result would be less recovery time on average. The mean recovery using the previous procedure was 6.5 days. The recorded times were:

8 |
7 |
8 |
6 |
9 |
4 |
5 |
3 |
7 |
8 |
10 |
7 |
7 |
6 |
4 |
10 |
3 |
6 |
8 |

2 |
5 |
5 |
4 |
5 |
3 |
8 |
7 |
4 |
6 |
3 |
7 |
12 |
4 |
3 |
6 |
6 |
9 |
4 |

Note that *Σx* = 229 and *Σx*^{2} = 1581.

**(a) **What is a point estimate for the population mean µ?

**(b) **Find a 90% confidence interval for µ.

**(c) **What is the maximum error of estimate for µ?

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