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?

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