In a random sample of 23 people, the mean commute time to work was 31.3 minutes and the standard deviation was 7.3 minutes. Assume the population is normallydistributed and use a t-distribution to construct a 98% confidence interval for the population mean . What is the margin of error of u? Interpret the results.The confidence interval for the population mean u is ((Round to one decimal place as needed.)The margin of error of u is(Round to one decimal place as needed.)Interpret the results.O A. If a large sample of people are taken approximately 98% of them will have commute times between the bounds of the confidence interval.O B. It can be said that 98% of people have a commute time between the bounds of the confidence interval.O C. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.O D. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval.Click to select your answer(s).GHFormula:NOVWtv11MacBook Proo

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Asked Nov 11, 2019
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In a random sample of 23 people, the mean commute time to work was 31.3 minutes and the standard deviation was 7.3 minutes. Assume the population is normally
distributed and use a t-distribution to construct a 98% confidence interval for the population mean . What is the margin of error of u? Interpret the results.
The confidence interval for the population mean u is (
(Round to one decimal place as needed.)
The margin of error of u is
(Round to one decimal place as needed.)
Interpret the results.
O A. If a large sample of people are taken approximately 98% of them will have commute times between the bounds of the confidence interval.
O B. It can be said that 98% of people have a commute time between the bounds of the confidence interval.
O C. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval.
O D. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval.
Click to select your answer(s).
G
H
Formula:
NOV
W
tv
11
MacBook Pro
o
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In a random sample of 23 people, the mean commute time to work was 31.3 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 98% confidence interval for the population mean . What is the margin of error of u? Interpret the results. The confidence interval for the population mean u is ( (Round to one decimal place as needed.) The margin of error of u is (Round to one decimal place as needed.) Interpret the results. O A. If a large sample of people are taken approximately 98% of them will have commute times between the bounds of the confidence interval. O B. It can be said that 98% of people have a commute time between the bounds of the confidence interval. O C. With 98% confidence, it can be said that the population mean commute time is between the bounds of the confidence interval. O D. With 98% confidence, it can be said that the commute time is between the bounds of the confidence interval. Click to select your answer(s). G H Formula: NOV W tv 11 MacBook Pro o

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Expert Answer

Step 1

Calculating the confidence interval for population mean:

Sample mean = 31.3 minutes.

Sample standard deviation, s is 7.3 minutes.

The sample size, n is 23.

From the EXCEL, usin...

CI mean tmargin of error
=Ttt
Vn
n-
7.3
31.32.508
23
= 31.3 t3.8176
=(27.4824,35.1176)
(27.5,35.1)
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CI mean tmargin of error =Ttt Vn n- 7.3 31.32.508 23 = 31.3 t3.8176 =(27.4824,35.1176) (27.5,35.1)

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