34b)Consider using a homoscedastic t-test to determine whether two populations have the same mean. If the sample sizes are both 7 and the sample variances are 5, what is the minimum difference between the sample means we would need to observe to decide that the population means are significantly different at an overall p<0.05 level?

There are some temperature measurements of this month in San Francisco and Fresno. The sample size in San Fransico is 23 and the sample size in Fresno is 17. The sample means and variances were computed and tabulated in the following table:    Sample Size Sample Mean (oF) Sample Variance (oF) San Francisco 30 75.5 4 Fresno 11 73.3 6 a)  Is there a significant difference in the mean temperature between San Francisco and Fresno at a significance level of 5%? Assume that the population variances in both cities are the same.   b) Based on the measurements, what are the confidence interval of variances in San Francisco and Fresbi, respectively? Use a 90% confidence level.  c) Use the above question (question b) as an example, how does the number of samples affect the width of your confidence interval?

Using the ROI data set: For each of the 2 majors test the hypothesis at the 5% significance level: The mean ‘Cost’ for a college is $160,000. Be sure to interpret your results. For Business versus Engineering majors conduct a two sample test of the hypothesis at the 10% significance level (assume the variances are not equal): The average ’30-Year ROI’ for Business majors is less than for Engineering Majors.  Be sure to interpret your results.

Which statement best represents the logic of a one way analysis of variance which also called ANOVA which is also called the F test? A. Under the null, The population means are equal to each other, so any difference in sample means will register as significant difference B. Under the null, at least one mean is different from the others, so if this condition is met with the data, it will register as a significant difference C. Under the null, The means are assumed to be equal; as a result the between group variance will equal the within group variance ; if the calculated SSbetween is sufficiently larger than SSbetween this would suggest the between group variation is larger than within group variation and indicate there is a significant difference amount the means D. Under the null, the means are assumed to be equal, as a result, the within group variance will be larger than the between group variance and this will be revealed by a significant F, which would indicate that the…