An insurance company is considering opening a new branch in Lansing. The company will choose the final location from two locations within the city. One of the factors in the decision is the annual family income (in thousands of dollars) of five families randomly sampled from a radius of five miles from the potential locations. ______________ Conclusion: ______________ The population means ______________ differ. Perform an F-test for one-way ANOVA at the 5% level of significance to determine whether the population means differ. What is the F-statistic? ______________ Reject Region: Reject H0 if |F| ______________ Conclusion: ______________ The population means ______________ differ. What is the relation between the observed t and observed F test statistics from the previous two questions? F = ______________ Does the same relation hold true for the corresponding critical values? ______________ If we want to determine whether the population mean income for area 2 is higher than that for area 1, can we still use both the t and F -tests applied in the previous questions? ______________ Explain. ______________ class=answers-bank-image d-block rel=preload Perform equal-variances t-test at the 5% significance level to determine whether the population means differ.What is the t-statistic?______________Reject Region: Reject H0 if |t| ______________Conclusion: ______________The population means ______________ differ.Perform an F-test for one-way ANOVA at the 5% level of significance to determine whether the population means differ.What is the F-statistic?______________Reject Region: Reject H0 if |F| ______________Conclusion: ______________The population means ______________ differ.What is the relation between the observed t and observed F test statistics from the previous two questions?F = ______________Does the same relation hold true for the corresponding critical values?______________If we want to determine whether the population mean income for area 2 is higher than that for area 1, can we still use both the t and F -tests applied in the previous questions?______________Explain.______________

Question

An insurance company is considering opening a new branch in Lansing. The company will choose the final location from two locations within the city. One of the factors in the decision is the annual family income (in thousands of dollars) of five families randomly sampled from a radius of five miles from the potential locations.   ______________ Conclusion: ______________ The population means ______________ differ. Perform an F-test for one-way ANOVA at the 5% level of significance to determine whether the population means differ. What is the F-statistic? ______________ Reject Region: Reject H0 if |F| > ______________ Conclusion: ______________ The population means ______________ differ. What is the relation between the observed t and observed F test statistics from the previous two questions? F = ______________ Does the same relation hold true for the corresponding critical values? ______________ If we want to determine whether the population mean income for area 2 is higher than that for area 1, can we still use both the t and F -tests applied in the previous questions? ______________ Explain. ______________ class=answers-bank-image d-block rel=preload > Perform equal-variances t-test at the 5% significance level to determine whether the population means differ.What is the t-statistic?______________Reject Region: Reject H0 if |t| > ______________Conclusion: ______________The population means ______________ differ.Perform an F-test for one-way ANOVA at the 5% level of significance to determine whether the population means differ.What is the F-statistic?______________Reject Region: Reject H0 if |F| > ______________Conclusion: ______________The population means ______________ differ.What is the relation between the observed t and observed F test statistics from the previous two questions?F = ______________Does the same relation hold true for the corresponding critical values?______________If we want to determine whether the population mean income for area 2 is higher than that for area 1, can we still use both the t and F -tests applied in the previous questions?______________Explain.______________

Amrit Lotay · Accepted Answer

Final Answer : -1.098; 2.306; Do not reject H 0 ; do not; 1.206; 5.32; Do not reject H 0 ; do not; t-squared; Yes; No; We must use the equal variances t-test. We cannot use the analysis of variance F-test since this technique only allows us to test for a difference.

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