Question

In: Statistics and Probability

The following three independent random samples are obtained from three normally distributed populations with equal variances....

The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Round answers to 4 decimal places.

Internship Co-op Work Study
11.25 11 10.5
12.5 11.75 14.75
10.75 14 10.5
11.5 9.5 9.5
12.5 13.5 11
11.75 10.75 13.25
11.75 14.25 10.5
14.25 10.75 12.5
12.5 12.75 12.25
11.5 11.25 9.5
12 12.25 11.75
10.5 12 10
10.75 12 11.5
10.5 12.25 10.25
12.5 13.25 11.25
12.5 12.25 10.25
11.5 13.5 11
10 13.25 12.5

Use Excel to conduct a single-factor ANOVA to determine if the group means are equal using α=0.02α=0.02.  

Group means:
Internship:   
Co-op:   
Work Study:   

Fill in the summary table for the ANOVA test:

SS df MS
Between
Within
Total

From this table, obtain the necessary statistics for the ANOVA:

ANOVA summary statistics:
Test Statistic =

p-value =

Conclusion: Select an answer The evidence suggests that the average starting hourly wages are different. There is not sufficient evidence to conclude the starting wages are different for the different groups.

Solutions

Expert Solution


Related Solutions

The following three independent random samples are obtained from three normally distributed populations with equal variances....
The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Round answers to 4 decimal places. Internship Co-op Work Study 9.25 10.5 10.75 9.5 9.75 10 10.75 11 10.5 12 10.75 11.25 10.25 10.25 9.75 10.75 9.25 10.25 10 11.5 9 9.75 9.75 10 10.25 9.5 11.25 12.75 11 10.75 10 11.5 8.75 8.25 10...
The following five independent random samples are obtained from five normally distributed populations with equal variances....
The following five independent random samples are obtained from five normally distributed populations with equal variances. The dependent variable is the number of bank transactions in 1 month, the groups are five different banks. Conduct a trend analysis at the .05 level. Use SPSS to conduct a one-factor ANOVA to determine if the group means are equal using alpha = .05. Test the assumptions, plot the group means, consider an effect size, interpret the results, and write an APA style...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 1: Internship Group 2: Co-op Group 3: Work Study 12.5 13 13.5 10.75 12 13.25 12.5 9.5 11.75 12 12.5 13.25 12.5 12.5 12.75 9.5 14 13.5 12.25 14.25 15 Use technology to conduct a one-factor ANOVA to determine if the group means are...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). We are testing the claim that the starting salaries for new college graduate are different depending on the positions at α=0.2α=0.2 given the following data Group 1: Internship Group 2: Co-op Group 3: Work Study 10 11.25 16 14.75 13 14 10.5 13.5 14 9.5...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 1: Internship Group 2: Co-op Group 3: Work Study 9 9 13.75 9.25 12.75 11.75 12 11.5 11.25 11.75 14.75 16.25 12.25 8.75 10 11.75 10.5 11.5 10 9.75 12.75 11.25 10.75 15.5 Do not forget to convert this table from parallel format (i.e.,...
The following three independent random samples are obtained from three normally distributed populations with equal variance....
The following three independent random samples are obtained from three normally distributed populations with equal variance. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 1: Internship Group 2: Co-op Group 3: Work Study 15 14.75 14.25 17.25 9.75 15.5 13 15.25 16.25 16.75 14 13.5 13 14.25 13.75 13 16 15.75 15.25 9.5 15.25 17.5 12 16.75 Do not forget to convert this table from parallel format (i.e.,...
The following information was obtained from two independent samples selected from two normally distributed populations with...
The following information was obtained from two independent samples selected from two normally distributed populations with unknown but equal standard deviations. n1=33;    x1¯=14.46;    s1=15.07. n2=23;    x2¯=−4.75;    s2=14.65. Find a point estimate and a 97.5% confidence interval for μ1−μ2. For the following, round all answers to no fewer than 4 decimal places. The point estimate of μ1−μ2 is: Answer The lower limit of the confidence interval is: Answer The upper limit of the confidence interval is: Answer The margin of error...
Two independent random samples were selected from two normally distributed populations with means and variances (μ1,σ21)...
Two independent random samples were selected from two normally distributed populations with means and variances (μ1,σ21) and (μ2,σ22). The sample sizes, means and variances are shown in the following table. Sample 1 n1 = 13 x̄1 = 18.2 s21 = 75.3 Sample 2 n2 = 14 x̄2 = 17.1 s2= 61.3 (a). Test H0 : σ12 = σ2against Ha : σ12 ̸= σ2. Use α = 0.05. Clearly show the 4 steps. (b). TestH0 :μ1 −μ2 =0againstHa :μ1 −μ2 >0....
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.01 significance level to test the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. If there is a statistically significant difference, does that difference have practical significance? Day    Home (volts)   Generator (volts) 1   123.7  ...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do...
Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean. If there is a statistically significant​ difference, does that difference have practical​ significance? Day Home( volts) Generator( volts) Day Home (volts)...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT