Use the information to construct 90% and 99% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals.

Researchers surveyed a random sample of 32 U.S. workers ages 16 years and over who did not work from home and asked how long (in minutes) it takes them to get from home to work. The responses are listed.

33	49	33	44	29	30	23	34	15	47	16	34	27	36	33	14
74	16	11	55	25	53	26	73	43	26	17	43	32	22	65	84

From past studies, the researchers assume that

is 18.6 minutes.

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Part 1

Construct the 90% and 99% confidence intervals for the population mean. Which interval is wider?