HELP me solve these micro questions.

Topic 3: Hypothesis Testing (Two Samples Drawn from Two Populations) 1. The manufacturers of "Krash Cola" claim that students who drink Krash Cola before their statistics midterms do better on their statistics exams. A group of Kwantlen marketing students decide to test this claim. They divide themselves into two groups - one group drinks Krash before their exam, while the other drinks only water. (You will find the results in the same excel file you opened for topic # 1, but in the second worksheet (called Topic 3-#1).) They aren't sure what to make of the results, so they bring the data to you, and ask you if you think Krash appears to have a statistically significant effect on student performance. a) Specify the null and alternate hypothesis that you would use, such that if you reject the null you're concluding that Krash Cola does work. b) What's the point estimate of the difference between the two groups' averages? c) Assume the students want to be 90% certain before rejecting the null hypothesis. Can you reject the null hypothesis you established in 4a? Make sure your answer includes an interpretation of the p-value for this hypothesis test, as well as whether this is a one tailed or a two tailed test.2. Based on your advice, the marketing students in # 1 conduct another study of the impact of Krash Cola. You've suggested they modify their study design to use a matched sample to examine the relationship between midterm performance and Krash Cola consumption. They do so and return to you for help in the analysis. (You will find the results in the same excel file you opened for the last problem, but in the third worksheet - called Topic 3 - # 2.) a) What's the difference between a study which uses a matched sample design and one which uses an independent sample design? In the case of Krash Cola, why might you propose a matched sample study design? b) Specify the null and alternate hypotheses that you would use, such that if you reject the null you're concluding Krash, Cola does work. c) What's your point estimate of the average difference between the scores people got when they drank Krash Cola beforehand and the scores they got when they had not drank Krash Cola before hand? d) Perform a hypothesis test, for a level of significance = .1. Find and interpret the p- value, and decide whether or not you can reject the null hypothesis. e) Does your answer for this problem agree with your answer for #1? Would you expect it to? To what do you attribute any differences? Which result would you trust more and why?FOR 8 - 10 please use this situation: A small theater company has a linear regression model to estimate y = the concession stand sales in dollars, based on knowing x = the number of people in attendance. The regression equation is: )= 6.72x + 11.50 and the correlation coefficient was r = 0.781. The data set saw the number of people in attendance ranging from a minimum of 18 people to a maximum of 170 people. 8) Interpret the slope of the regression equation in the context of the problem. If it would make sense, interpret the y-intercept and if it doesn't make sense to do that say why. 9) Predict the concession sales if there were 50 people in attendance. Then determine the residual for an observation in the data set where a play with 50 people in attendance had concession sales of $390. 10) How reliable would it be to make a prediction for the concession sales amount if there were 500 people in attendance? Explain.Question 2: Cost Estimation (10 marks) You have been asked to estimate the cost of manufacturing 100 extreme-weather tents that can be used by refugees after a natural disaster. Back in 2010 your company had a similar contact to produce 70 tents that provided 1,050 square metres of floor space each and were 2.5 metres high at the peak. This time the tents need to be a little bit larger, providing 1,200 square metres of floor space. The cost of materials in 2010 was $18.75 per square metre of floor space. The shop foreman's estimate of labour required to manufacture the first new tent is 98 hours. a) Using a cost capacity factor of 0.65 and cost index values of 175 in 2010 and 210 in 2021 estimate cost of materials for the new tents. b) Assuming a loaded labour rate of $120 per hour, a 91% learning curve what is the cost of the 50th tent? c) Calculate the average labour cost per tent. d) What will the total price of the contract be if you use a 20% profit markup