I need help solving this mathematical question

Question 3 The following sample data represent students scores in two replacement Math exams. Question 5 Let x represents the number of overweight men. Consider the following Student Exam A Exam B samples : 78 82 Sample 1 Sample 2 2 86 74 1 750 12 = 700 74 79 = 130 *2 = 160 72 93 75 80 68 At the 5% significance level, do the data provide sufficient evidence to 77 conclude that, proportion of overweight men is sample 1 is higher than proportion of sample 2? a. Formulate null and alternative paired t test of hypothesis. Use a=0.05 b. Compute d c. Calculate Sa d. Compute the test statistics. e. Determine the critical values. Question 6 The feeding habits of two species of net-casting spiders are studied. The species, the deinopis and menneus, coexist in eastern Australia. The following data were obtained on the size, in millimeters, of the prey of f. Reach a decision . random samples of the two species: dinopis 12.9 10.2 7.4 7.0 10.5 11.9 7.1 9.9 14.4 11.3 g. Is there a difference between average scores of the two tests (Yes, No) sennous 10.2 6.9 10.9 11.0 10.1 5.3 7.5 10.3 9.2 8.8 Suppose that populations are normally distributed with equal variances and samples are independent. we are asked to estimate the difference in the two population means: Question 4 Males and females were asked about what they would do if they received a. Compute the point estimate a $100 gift bill from a Hyper market, would they return and buy some grocery from the same market ? Of the 72 males sampled, 54 said "yes" and of the 131 females sampled, 117 said "yes." b. Determine the degrees of freedom a. Find a 95% confidence interval for the difference in proportions for males and females who said "yes." c. Find t critical value d. Construct a 95% confidence interval of the difference between two population means.Question 1 A blood bank claims that the proportion of type A donations is 0.40. To test this, a random sample of 150 recent donations is taken and 93 were type A. Conduct a test of the appropriate hypotheses using a significance Question 7 A manager is interested in determining if the population standard level of 0.05. deviation has dropped below 150. Based on a sample of n = 20 items a. Specify the population parameter of interest. selected randomly from the population, conduct the appropriate hypothesis test at a 0.05 significance level. The sample standard b. Formulate the null and alternative hypotheses. deviation is 105. c. Construct a rejection region using a 0.05 d. Compute the sample proportion. e. Compute the test statistic. Question 8 Athletes tend to have lower resting heart rates because training programs that build speed, fitness, muscle, and endurance also train their heart muscles to pump a higher volume of blood with each heartbeat. An athletic nutrition manufacturer is looking for the best supplements that f. Reach a decision take less variation of heartbeats to power a well-conditioned athlete during intense training as well as during rest. He measured 14 athletes heart rates and recorded sample standard deviation s 25.93 . Develop a g. Write a conclusion 95% confidence interval estimate of the variance of heart rate. Question 2 A mail-order business prides itself in its ability to fill customers' orders in six days or less on average. Periodically, the operations manager selects a Question 9 In an effort to better understand current donation patterns, the manager of random sample of customer orders and determines the number of days a public broadcast radio station is studying past data. A staff member required to fill the orders. Based on this sample information, he decides if from a neighboring state has speculated that male viewers' donations have the desired standard is being met. greater variability in amount than do those of females. To test this, the a. Establish the appropriate null and alternative hypotheses. manager has selected random samples of 25 men and 25 women from people who donated during last year's telethon. The following statistics were computed from the sample data: Men Women b. On one occasion when a sample of 40 customers was selected, the n = 25 n2 = 25 average number of days was 6.65, with a sample standard deviation of S = 2.50 $2 = 1.34 1.5 days. Compute the test statistics. Based on a significance level of 0.05, does it appear that male viewers' donations have greater variability in amount than do those of female viewers? c. Can the operations manager conclude that his mail-order business is achieving its goal? Use a significance level of 0.025 to reach a decision