Question

In: Statistics and Probability

Q2. A researcher is interested in comparing the wages of men and women doing the same...

Q2. A researcher is interested in comparing the wages of men and women doing the same type of

job at a large company. The data is below:

Men: average wage (per hour) = $18

.95; standard deviation = $4.44; n =18

Women: average wage (per hour) = $15.09; standard deviation = $3.38; n =13

Test whether the difference between the means of the two groups is significant at an alpha

(significance level) of .05.

(a) What are the null and alternate hypotheses?

(b) Draw the picture of the distribution of the test statistic (under H0). Include critical value(s)

and region(s) of rejection.

(c) What is the calculated (computed) value of the test statistic?

(d) What is your conclusion?

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Q3. A researcher is interested in comparing the foreclosure rates on mortgages issued to men and...
Q3. A researcher is interested in comparing the foreclosure rates on mortgages issued to men and women. The data is below: Men: Out of 500 mortgages issued to men, 65 resulted in a foreclosure. Women: Out of 200 mortgages issued to women, 18 resulted in a foreclosure. Test whether the difference between the proportions of the two groups is significant at an alpha (significance level) of .05. (a) What are the null and alternate hypotheses? (b) Draw the picture of...
Underlying Assumptions: Men and women are equally productive. Men’s wages are higher than women’s wages for...
Underlying Assumptions: Men and women are equally productive. Men’s wages are higher than women’s wages for the same work. Profit maximization. men women output per hour 20 units 20 units wage per hour $20 $18 Given these three assumptions, why would a business ever hire a man? One our assumptions must be wrong! Which combination of workers would maximize profits?
Test the claim that men and women owe the same amount on their Visa cards. Men...
Test the claim that men and women owe the same amount on their Visa cards. Men                                        Women                                 n =                                          n =                                                          x =                                           x =                                          s =                                          s =                          The data collected below comes from people that live in Salinas. Listed below are the genders, ages and current balance on one specific type of Visa card....
A recent study was done comparing the IQ scores of women and men. In a sample...
A recent study was done comparing the IQ scores of women and men. In a sample of 22 women, the average IQ score was 100.6 with a sample standard deviation of 7.3, and for a sample of 13 men, the average IQ score was 101.3 with a sample standard deviation of 9.8. Use a 0.01 level of significance to test the claim that the average IQ score for women and men is the same.
A researcher wants to determine if there is a significant difference between men and women in...
A researcher wants to determine if there is a significant difference between men and women in terms of guilty/non guilty pleas submitted by a sample of 50 defendants. Knowing that there are 25 women and 25 men in this sample and that 15 men entered guilty pleas [and 10 no guilty pleas] and 5 women entered guilty pleas [and 20 no guilty pleas]… [Hint: Calculated Chi-Sq. = 8.33] Formulate the null and research/alternative hypotheses. Create a contingency table with 2...
A researcher is interested in understanding the effect of college education on wages. The workers in...
A researcher is interested in understanding the effect of college education on wages. The workers in one group have earned an AA (associate's) degree while members of the other group hold at least a bachelor's degree. The researcher would like to run a hypothesis test with α = .05 to see if those with a bachelor's degree have significantly higher hourly wages than those with an associate's degree. Bachelor's degree Participant Hourly wage 1 13.25 2 12.25 3 11.60 4...
A researcher is interested in comparing the effectiveness of two reading programs to see if there...
A researcher is interested in comparing the effectiveness of two reading programs to see if there is a difference in the average amount of student reading score improvements reported in either program. The following data is collected from students in each program after four months of participation. Using the below data, conduct the appropriate two-sided hypothesis test to answer the researchers' question. Experimental Comparison 35 2 40 27 12 38 15 31 21 1 14 19 46 1 10 34...
A student researcher compares the heights of men and women from the student body of a...
A student researcher compares the heights of men and women from the student body of a certain college in order to estimate the difference in their mean heights. A random sample of 10 men had a mean height of 71.3 inches with a standard deviation of 2.34 inches. A random sample of 17 women had a mean height of 65.5 inches with a standard deviation of 2.72 inches. Determine the 98% confidence interval for the true mean difference between the...
A student researcher compares the heights of men and women from the student body of a...
A student researcher compares the heights of men and women from the student body of a certain college in order to estimate the difference in their mean heights. A random sample of 18 men had a mean height of 71.4 inches with a standard deviation of 1.68 inches. A random sample of 10 women had a mean height of 65 inches with a standard deviation of 3.01 inches. Determine the 98% confidence interval for the true mean difference between the...
A social researcher is interested in understanding the effect of college education on wages. The workers...
A social researcher is interested in understanding the effect of college education on wages. The workers in one group have earned an associate’s degree while members of the other group hold at least a bachelor’s degree. He would like to run a hypothesis test with α = .10 to see if those with a bachelor’s degree have significantly higher hourly wages than those with an associate’s degree. Bachelor’s degree Associate’s degree Participant Hourly wage Participant Hourly wage 1 11.25 11...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT