Question
The mean number of hours of part-time work per week for a sample of 278 Metro...
The mean number of hours of part-time work per week for a sample of 278 Metro State students is 20. If the margin of error for the population mean with a 95% confidence interval is 1.5, construct a 95% confidence interval for the mean number of hours of part-time work per week for Metro State University students. (4 points)
Lower Limit: ____________
Upper Limit: ____________
Homework Answers
Answer #1
Solution :
Given that,
Point estimate = sample mean = 
= 20
Sample size = n =278
margin of error E = 1.5
At 95% confidence level the z is ,
= 1 - 95% = 1 - 0.95 = 0.05
/ 2 = 0.05 / 2 = 0.025
Z/2
= Z0.025 = 1.96
At 95% confidence interval estimate of the population mean
is,
- E < 
<
+ E
278- 1.5 <
< 278+ 1.5
276.5<
< 279.5
( lower limit = 276.5 upper limit= 279.5
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