The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries. A. State the null and alternative hypothesis we should use to test whether the population mean hourly wage in the manufacturing industry to see if the mean hourly wage differs from the population mean hourly wage in the goods-producing industries. B. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value.  C. With = .05 as the level of significance, what is your conclusion? D. Repeat the preceding hypothesis test using the critical value approach.

Question

The mean hourly wage for employees in goods-producing industries is currently $24.57 (Bureau of Labor Statistics website, April, 12, 2012). Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the goods-producing industries.

A. State the null and alternative hypothesis we should use to test whether the population mean hourly wage in the manufacturing industry to see if the mean hourly wage differs from the population mean hourly wage in the goods-producing industries.

B. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. 

C. With = .05 as the level of significance, what is your conclusion?

D. Repeat the preceding hypothesis test using the critical value approach. 

Expert Answer

1 Rating

Want to see the step-by-step answer?

See Answer

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

See Answer
*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in
MathStatistics

Hypothesis Testing

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: How do you determine the mean annual return?

A: The mean of any given data is nothing but the average of the data.Let X1, X2 , X ,....., Xn are n da...

Q: The table below shows the critical reading scores for 14 students the first two times they took a st...

A: Given the data of critical reading scores for 14 students the first two times they took a standardiz...

Q: Age 18-23 24-29 30-35 36-41 42-47 48-53   Male 2 2 3 1 2 1 11 Female 5 3 4 3 1 3 19   7 5 7 4 ...

A: Given data of male and female people with in the mentioned age groups as shown below.The total numbe...

Q: Jane has stored three albums on her iPod. The first album consists of 11 songs by Frank Sinatra, the...

A: In this question, there is total 32 songs collection out of which 11 songs by Frank Sinatra, 13 song...

Q: (c) Compute the sample correlation coefficient r for each of the following data sets and show that r...

A: Sample correlation coefficient:The Karl Pearson’s product-moment correlation coefficient or simply, ...

Q: Bill Alther is a zoologist who studies Anna's hummingbird (Calypte anna).† Suppose that in a remote ...

A: (a) Level of significance for the test:Level of significance (α) defines the probability of rejectin...

Q: Do larger universities tend to have more property crime? University crime statistics are affected by...

A: (a) Scatter diagram of the data:The least-squares regression line is the best fitted to the given da...

Q: An economist is studying the job market in Denver area neighborhoods. Let x represent the total numb...

A: Scatter PlotIt is a Graph between two variables. It is plotted to check the relationship between the...

Q: Question B

A: B)The variables whose level are set by the experimenter is the independent variable, which is called...