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Following are the number of miles traveled for 30 randomly selected business flights within the United...

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Basic Math

Following are the number of miles traveled for 30 randomlyselected business flights within the United States during 1999.

1095, 925, 1656, 1605, 1503, 1928, 2030, 1418, 500, 1248,
2047, 1027, 1962, 1027, 1197, 1928, 874, 1367, 1129, 1401,
874, 602, 1503, 1469, 636, 1503, 925, 1384, 874, 704

a) Use the data to obtain a point estimate for the populationmean number of miles traveled per business flight, μ, in1999.
Note: The sum of the data is 38341.

b) Determine a 95.44% confidence interval for the populationmean number of miles traveled per business flight in 1999. Assumethat σ=450 miles. Confidence interval: ( ,  ).

c) Must the number of miles traveled per business flight in 1999be exactly normally distributed for the confidence interval thatyou obtained in part (b) to be approximately correct?

d) What theorem helped you answer part (c)?

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