Input the data below to SPSS and use the SPSS to conduct a two-sample t-test to examine whether there is a difference between these individuals' incomes before and after they return to school to get a master's degree. Before ($1,000) After ($1,000) 22 24 44 14 24 35 57 35 34 88 57 59 30 67 95 65 A) What is the p-value for the difference between the individuals' incomes before and after they return to school to get a master's degree? Is the difference statistically significant when the level of risk is 0.05? B) What are the degrees of freedom for the t-statistic? C) Report the 95% confidence interval for the mean difference. D) Whether we should retain or reject the null hypothesis? What conclusion can we make based on the results?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 1GP
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Input the data below to SPSS and use the SPSS to conduct a
two-sample t-test to examine whether there is a difference
between these individuals' incomes before and after they return
to school to get a master's degree.
Before ($1,000) After ($1,000)
22
24
44
59
30
67
95
65
14
24
35
57
35
34
88
57
A) What is the p-value for the difference between the
individuals' incomes before and after they return to school to get
a master's degree? Is the difference statistically significant when
the level of risk is 0.05?
B) What are the degrees of freedom for the t-statistic?
C) Report the 95% confidence interval for the mean difference.
D) Whether we should retain or reject the null hypothesis? What
conclusion can we make based on the results?
Transcribed Image Text:Input the data below to SPSS and use the SPSS to conduct a two-sample t-test to examine whether there is a difference between these individuals' incomes before and after they return to school to get a master's degree. Before ($1,000) After ($1,000) 22 24 44 59 30 67 95 65 14 24 35 57 35 34 88 57 A) What is the p-value for the difference between the individuals' incomes before and after they return to school to get a master's degree? Is the difference statistically significant when the level of risk is 0.05? B) What are the degrees of freedom for the t-statistic? C) Report the 95% confidence interval for the mean difference. D) Whether we should retain or reject the null hypothesis? What conclusion can we make based on the results?
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