12. This data is the starting monthly pay ($100's) for technicians in Santa Clara and Alameda counties (20 each). Santa Clara Alameda 32 29 35 34 38 35 33 28 26 27 28 29 30 31 37 40 20 31 36 30 32 25 26 28 30 22 28 24 33 31 29 27 25 29 22 28 35 23 25 28 For each the following questions, write the Null and alternative hypothesis, degrees of freedom (if applicable) and choose the appropriate test statistic. You do not need to conduct the tests. 1. One sample, t test for mean 2. One sample, Z test of proportion 3. One sample, x test of variance 4. t-test: independent samples, two population pooled variance. 5. t-test: independent samples, two population unequal variance. 6. t-test: dependent sampling, matched pairs a. Test the hypothesis that Mean Salary for Santa Clara County technicians exceeds $3400 b. Test the hypothesis that the standard deviation for Alameda County technicians is $400 c. Test the hypothesis that more than 40% of the technicians (both counties combined) have a starting pay under $3000. d. Test for a difference in starting pay between the 2 counties (you may assume equal variances, if necessary)