Question

In: Statistics and Probability

Amount Spent on Energy: The table to the right shows the amount spent (in dollars) on...

Amount Spent on Energy: The table to the right shows the amount spent (in dollars) on energy in one year for a random sample of households from four regions in the United States. Conduct a test at the alpha equal .05 level to determine if there is a difference in the mean amount spent in dollars on energy Run the ANOVA analysis using excel data analysis tools on this sheet to show the work. Answer the following questions on the answer sheet: 2a. State the Null Hypothesis 2b. What is the Resulting F value? 2c. What is the resulting F critical value? 2d. What is the p value? 2e. What is the decision (accept or reject the null hypothesis?

Northeast Midwest South West
2826 1695 1227 840
776 1325 1972 1694
2345 1727 1653 1599
1349 1679 1080 661
1056 1575 1646 1002
1276 1899 1348 856
2396 1074 1750 1491
2343 1410
1029 1485
2745
1004

Solutions

Expert Solution

2a. State the Null Hypothesis

  • The null hypothesis (H0) is that there is no difference between the groups and equality between means. (mean amount spent in dollars on energy same in different four regions in the United States)
  • The alternative hypothesis (H1) is that there is a difference between the means and groups. (mean amount spent in dollars on energy not same in different four regions in the United States

2b. What is the Resulting F value?

Using Excel Output:

2c. What is the resulting F critical value?

Fcritical =2.922

2d. What is the p value?

P-value = 0.1841

2e. What is the decision (accept or reject the null hypothesis?

P-value > 0.05 so we do not reject the null hypothesis means we accept the null hypothesis.

Hope this will b helpful.Thanks and God Bless You :)


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