QUESTION 1 The director of a state agency believes that the average starting salary for clerical employees in the state is less than $30,000 per year. To test her hypothesis, she has collected a simple random sample of 100 starting clerical salaries from across the state and found that the sample mean is $29,750. a. State the appropriate null and alternative hypotheses. (2 M) b. Assuming the population standard deviation is known to be $2,500, calculate the test statistics. (3 M) c. With 0.05 level of significant, compute the critical value?(1 M) d. Make a statistical decision based on answer in (a ) and ( b ), does it reject or do not reject the null hypothesis ? (2 M) e. Construct 95% confidence interval. (3 M) QUESTION 2 Allante Pizza delivers pizzas throughout its local market area at no charge to the customer. However, customers often tip the driver. The owner is interested in estimating the mean tip income per delivery. To do this, she has selected a simple random sample of 12 deliveries and has recorded the tips that were received by the drivers. These data are: $2.25 $2.50 $2.25 $2.00 $2.00 $1.50 $0.00 $2.00 $1.50 $2.00 $3.00 $1.50 a. Computed mean and standard deviation for above data ( 6 M) b. Construct 95% confidence interval (3M)