Answer to Question #59960 in Statistics and Probability for b

Question

Construct a 95% confidence interval for the population mean of hourly wage. What sample size would you need if you wanted the confidence interval to have a width of at most $1 on either side of the sample mean (so $2 in total)?

Population mean: 5.185577655

Hourly wage:
1.878125
2.0125
2.058333
2.510417
2.752404
2.754464
3.007813
3.127404
3.188101
3.360902
3.367789
3.800481
3.822917
3.848558
3.851923
4.165865
4.357778
4.810096
5.071875
5.164063
5.5025
5.771635
5.771635
5.8675
5.985043
7.503125
8.079327
12.5025
12.65825
15.62891