the mean commute time to work was 32.4 minutes and the standard deviation was 7
ID: 3055097 • Letter: T
Question
the mean commute time to work was 32.4 minutes and the standard deviation was 7 2 minutes. Assume the in a random sample of 24 people, distributed and use a t-distribution to construct a 99% confidence interval for the population mean L What is the margin of error of ??!nter et the results. The Round to one decimal place as needed.) The margin of error of u is (Round to one decimal place as needed.) A, with 99% confidence, it can be said that the commute time is between the bounds of the confdence inter al O B. With 99% confidence, It can be said that 99% of people have a commute time between the bounds of the it can be said that the population mean commute time is between the bounds of the confidence interval C. O D e intra. acti a large sample of people are taken approximately 99% of them wil have commute times between the bour ds of necondo e : Need Questic O:Explanation / Answer
Solution:- Given values n = 24 , X = 32.4 , sd = 7.2
df = 23 , t = 2.807
a. The confidence interval for the population mean is ( 28.3,36.5 )
=> X +/- t*s/sqrt(n)
= 32.4 +/- 2.807 * 7.2/sqrt(24)
= 28.3 , 36.5
b. The margin of error is 4.1
c. option B. with 99% confidence,it can be said that the population mean commute time is between the bounds of the confidence interval
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