In a random sample of 24 people, the mean commute time to work was 33.7 minutes

Rivka Thorpe

Rivka Thorpe

Answered question

2021-09-23

In a random sample of 24 people, the mean commute time to work was 33.7 minutes and the standard deviation was 7.1 minutes. What is the margin of error of μ?
Interpret the results.
A) With 90% confidence, it can be said that the population mean commute time as between the bounds of the confidence interval.
B) It can be said that 90% of people have a commute time is between the bounds of the confidense interval
C) With 90% confidence, it can be said that the commute time is between the bounds of the confidence interval.
D) If a large sample of people are taken approximately 90% of them will have commute times between the bounds of the confidence interval.

Answer & Explanation

toroztatG

toroztatG

Skilled2021-09-24Added 98 answers

Step 1
n=24 SNK x=33.7
s=7.1
Construct 90% for μ
α=10.90=0.10
df=n1=23
 tα2, df=t0.05, 23=1.714
( ttab)
Step 2
 E=tσn
=1.714(7.1)24
=2.5
CI=(xE, x+E)
=(33.72.5, 33.7+2.5)
=(31.2, 36.2)
Margin of error is 2.5
Interpret: (A)

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