Thank you so much.

Question 1 (10 points} {0101 LC] The average speed of a volleyball serve Is 5? miles per hour. Natalie practiced a new technlque to improve her serving speed. Her coach recorded the speed of 36 random serves during practice and found that her average speed using the new technique was 58.9 miles per hour, with a standard deviation of 2.8 miles per hour. Part A: State the correct hypotheses if Natalie is trying to prove the new technique is an improvement over the old technique. {4 points} Part E: Identify the correct test and check the appropriate conditions. [6 points} {1 0 points} Question 2 (10 points) (07.02 MC) In January 1995, each student in a random sample of 150 physics majors at a large university was asked in how many lab classes he or she was enrolled. The results indicated a mean of 1.74 lab classes and a standard deviation of 1.49. To determine whether the distribution changed over the past 20 years, a similar survey was conducted in January 2015 by selecting a random sample of 150 physics majors. The results indicated a sample mean of 1.87 and a standard deviation of 1.57. Do the data provide evidence that the mean number of lab classes taken by physics majors in January 1995 is different from the mean number of lab classes taken in 2015? Perform an appropriate statistical test using a = 0.10. (10 points)Question 3 (10 points) (07.02 HC) Twenty middle-aged men with glucose readings between 90 milligrams per deciliter and 120 milligrams per deciliter of blood were selected randomly from the population of similar male patients at a large local hospital. Ten of the 20 men were assigned randomly to group A and received a placebo. The other 10 men were assigned to group B and received a new glucose drug. After two months, posttreatment glucose readings were taken for all 20 men and were compared with pretreatment readings. The reduction in glucose level (Pretreatment reading - Posttreatment reading) for each man in the study is shown here. Group A (placebo) reduction (in milligrams per deciliter): 12, 8, 17, 7, 20, 2, 5, 9, 12, 6 Group B (glucose drug) reduction (in milligrams per deciliter): 29, 31, 13, 19, 21, 5, 24, 12, 8, 21 Part A: Do the data provide convincing evidence, at the a = 0.02 level, that the glucose drug is effective in producing a reduction in mean glucose level? (6 points) Part B: Create and interpret a 98% confidence interval for the difference in the placebo and the new drug. (4 points) (10 points)Question 4 (10 points) (07.04 MC) A researcher conducted a study to investigate whether local car mechanics tend to charge women more than men for a catalytic converter repair. The researcher selected randomly one man and one woman from among everyone who had used the same mechanic with the same catalytic converter repair. The process was repeated for a total of five cars selected randomly. The repair prices and the differences (Woman Man) are shown in the table. Summary statistics are also shown. Car 1 Car 2 Car 3 Car 4 Car 5 Women $900 $1,180 $865 $1,350 $1,095 Men $825 $1,230 $750 $1,295 $975 Difference $75 -$50 $115 $55 $120 Mean Standard Deviation Women $1,078.00 $201.08 Men $1,015.00 $241.12 Difference $63.00 $68.79 Dotplots of the data and the differences are shown. Women 750 850 950 1,050 1,150 1,250 1,350 Men 750 850 950 1,050 1,150 1,250 1,350 Difference -100 .50 0 50 100 150 Do the data provide convincing evidence that, on average, women pay more than men for the same catalytic converter repair? (10 points)Question 5 (10 points) (07.05 MC) Wesley believes that as he increases his running speed, his pulse rate will increase. He wants to model this relationship. He records his pulse rate, in beats per minute, while running at each of eight different speeds, in miles per hour. A scatterplot and regression output are shown. 140 130 120 110 Pulse, beats per minute 100 90 80 70 0 0.5 1 1.5 2 2.5 3 3.5 4 4.5 Speed, miles per hour Regression Statistics Multiple R 95.70928% R Square 91.60266% Adjusted R Square 90.20310% Standard Error 6.513645838 Observations 8df SS MS F Regression 1 2,776.934507 2,776.934507 65.45116 Residual 6 254.5654926 42.4275821 Total 7 3031.5 Coefficients Standard Error t Stat p-Value Intercept 63.06927886 5.643282415 11.17599195 3.06E-05 Speed 18.57636597 2.296159651 8.090189183 0.000191 Part A: Using the regression output, write the equation of the fitted regression line. (2 points) Part B: Do your estimates of the slope and intercept parameters have meaningful interpretations in the context of the question? Explain. (4 points) Part C: Wesley wants to provide a 98% confidence interval for the slope parameter in his final report. Compute the margin of error that Wesley should use. Assume that conditions for inference are satisfied. (4 points) (10 points)