Question

Part B An economist wants to estimate the mean hourly wage (in $) of all workers. She collects data on 50 hourly wage earners. A portion of the data is shown in the accompanying table. Assume that the population standard deviation is $6. The completing data see the attachment Excel file named ?Hourly_Wage”. Hourly Wage 37.85 21.72 ... 24.18 1. Confidence interval using either Excel or R Construct and interpret 90% and 99% confidence intervals for the mean hourly wage of all workers. 2. Hypothesis test using either Excel or R An economist wants to test if the average hourly wage is less than $22. Assume that the population standard deviation is $6. 1) State the null and the alternative hypotheses for the test. 2) Find the value of the test statistic and the p-value 3) At ? = 0.05, what is the conclusion to the test? Is the average hourly wage less than $22?

          Part B

An economist wants to estimate the mean hourly wage (in $) of all workers. She collects data on 50 hourly wage earners. A portion of the data is shown in the accompanying table. Assume that the population standard deviation is $6. The completing data see the attachment Excel file named ?Hourly_Wage”.

Hourly Wage
37.85
21.72
...
24.18

1. Confidence interval using either Excel or R
Construct and interpret 90% and 99% confidence intervals for the mean hourly wage of all workers.
2. Hypothesis test using either Excel or R
An economist wants to test if the average hourly wage is less than $22. Assume that the population standard deviation is $6.
1) State the null and the alternative hypotheses for the test.
2) Find the value of the test statistic and the p-value
3) At ? = 0.05, what is the conclusion to the test? Is the average hourly wage less than $22?

Part B

An economist wants to estimate the mean hourly wage (in ) of all workers. She collects data on 50 hourly wage earners. A portion of the data is shown in the accompanying table. Assume that the population standard deviation is6. The completing data see the attachment Excel file named ?HourlyWage”.

Hourly Wage
37.85
21.72
...
24.18

1. Confidence interval using either Excel or R
Construct and interpret 90% and 99% confidence intervals for the mean hourly wage of all workers.
2. Hypothesis test using either Excel or R
An economist wants to test if the average hourly wage is less than 22. Assume that the population standard deviation is6.
1) State the null and the alternative hypotheses for the test.
2) Find the value of the test statistic and the p-value
3) At ? = 0.05, what is the conclusion to the test? Is the average hourly wage less than 22?

Added by Jeremy S.

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