Can someone please help me without excel I have to learn by hand. Thank you.

A) To estimate m, the mean salary of full professors at American colleges and universities, you obtain the salaries of a random sample of 400 full professors. The sample mean is $73,220 and the sample standard deviation is $4400. What is a 99% confidence interval for the mean m?

Answer is 73,220 569 must show calculations.

B) We wish to see if the electronic control indicating the oven temperature for a certain model oven is properly calibrated. Four ovens of this model are selected at random. The electronic control on each is set to 300F; after 1 hour, the actual temperature of each is measured. The temperatures measured are 305F, 310F, 300F, and 305F. Assume that the distribution of the actual temperatures for this model when the electronic control is set to 300F is Normal. To test if the electronic control is properly calibrated, we will test the following hypotheses: H₀: m = 300 versus H_a: m 300. Based on the data, what is the value of the one-sample t statistic?

Answer is 2.54 must show calculations.

C) . Bags of a certain brand of tortilla chips claim to have a net weight of 14 ounces. Net weights actually vary slightly from bag to bag. Assume net weights are Normally distributed. A representative of a consumer advocate group wishes to see if there is any evidence that the mean net weight is less than advertised and so intends to test the hypotheses H₀: m = 14 versus H_a: m < 14. To do so, he selects 16 bags of tortilla chips of this brand at random and determines the net weight of each. He finds a sample mean of 13.88 ounces with a standard deviation of s = 0.24 ounces. Determine which of the following statements is true, regarding the decision the representative would make.

Answer He would reject H₀ at a significance level of 0.05 but not at 0.025 must show calculations.