In a study of the performance of a new engine design, the weight of 18 trucks (in tons) and the top speed (in mph) were recorded. A regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are below.

Part A: Provide the regression equation based off the analysis provided & explain it in context. (2 points)Part B: List the conditions for inference that need to be verified. Assuming these conditions have been met, does the data provide convincing evidence of a relationship between weight and top speed? (4 points)Part C: Assuming all conditions for inference have been verified, determine a 95% confidence interval estimate for the slope of the regression line. (4 points)

A school psychologist wants to perform a study at a local elementary school where 150 students that have long-term concentration issues. The purpose of the study would be to determine if doing jumping jacks for 5 minutes helps with long-term concentration compared to sitting still for 5 minutes.Part A: Describe an appropriate design for the study. (5 points)Part B: The hypotheses for this study are as follows:H0: There is no difference in the mean improvement of long-term concentration for either treatment.Ha: The mean improvement of long-term concentration is greater for the jumping jacks treatment.The school will allow students to do jumping jacks during class if the null hypothesis is rejected. What are the possible Type I and II errors? Describe the consequences of each in the context of this study and discuss which type you think is more serious. (5 points)

Could the number of courses a college student is enrolled in be related to their employment status? At a local college, a simple random sample of 150 students was selected. Data was collected on each student on how many courses they were currently enrolled in and whether they held a job. The data was then presented in the frequency table:

Part A: What proportion of students in the sample have a job and are enrolled in at least three courses? Also, what proportion of students in the sample do not have a job and are enrolled in at least three courses? (2 points)Part B: Explain the association between the number of courses enrolled and employment status for the 150 students. Use the data presented in the table and proportion calculations to justify your answer. (4 points)Part C: Perform a chi-square test for the hypotheses.H0: The number of courses enrolled by students at the local college and their employment status have no association.Ha: The number of courses enrolled by students at the local college and their employment status have an association.What can you conclude based on the p-value? (4 points)

Peter is the owner of a hardware supply shop. He has hired you to check his machine's calibration prior to starting production on a large order. To check this, you set the machine to create 2.0 inch nails and manufacture a random sample of 200 nails. That sample of nails has an average length of 2.024 inches with a standard deviation of 0.205 inches.Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs?

Two opposing opinions were shown to a random sample of 1,500 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:Opinion A: Improving the healthcare system is more important than improving the education system.Opinion B: Improving the education system is more important than improving the healthcare system.Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."The outcomes were as follows:39% chose Opinion A, 54% chose Opinion B, and 7% chose "Neutral."Part A: Make and interpret a 98% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (3 points)Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (3 points)Part C: Would a two-sample z-interval for a difference between proportions be an appropriate procedure to find if the difference in proportions between US buyers who would have chosen Opinion B and US buyers who would have chosen Opinion A is statistically significant? Explain why or why not. (4 points)

Please help I need to get this done and im stressed