Question 1) A local insurance company is analyzing the cost

Question 1) A local insurance company is analyzing the cost

Question 1) A local insurance company is analyzing the cost of the two body shops their customers tend to use in hopes to save money. They randomly select 10 bills from their files of claim payments made in the last year to see if one company tends to be cheaper than the other. The data are shown below. Part 1 of 2: What inference procedure (test or interval - BE SPECIFIC!) would be appropriate to use to determine if there is a significant difference in repair costs. Explain why you made the choice you did! Part 2 of 2: Check each appropriate condition in detailand indicate if you could proceed with the test. If you can proceed, write the hypothesis, then use technology to compute the test statistic (t or z score) and P-value. Give both values and your conclusion. If you cannot proceed, explain why, sighting the condition that wasn't met and why. Question 2) The M&M manufacturers are trying to boost sales by giving away free bags of M&M's. They insert a token into each 1.14-1.74 oz. bag of candies. Twenty-five percent of the tokens are marked with an "M", 10 % show the symbol "&", and the rest just say "Try again". When you collect a set of three tokens that spell out "M&M" you can turn them in for a free bag of candy. About how many bags will a consumer have to buy to get a free one? Use a simulation to find out. Part 1 of 3: Explain in detail how you will use the random numbers listed below to conduct your simulation. Include the following four steps in paragraph form: Identify the component to be repeated. Explain how you will model the outcome. Explain in detail how you will simulate the trial. State clearly what the response variable is. Part 2 of 3: 4 points Conduct your simulation. Tell the process and outcome for each of your 2 trials. Show work for analyzing your response variable. Part 3 of 3: State your conclusion based on your results. Question 3) Certain states require your vehicle to be inspected for safety on a yearly basis. Police randomly stop drivers from time to time to ensure that the car's safety inspection is up to date. Last year, an average of 10% of cars stopped were ticketed for having expired stickers. The state then funded a marketing campaign to increase awareness of the safety inspection requirement in hopes of lowering the amount of tickets issued. Last month the police issued tickets for expired inspections to 43 of 628 cars they stopped. Is this evidence to suggest that the marketing campaign was effective? Assume all conditions have been met. Part 1 of 3: State the null and alternative hypotheses in symbols and words. Assume conditions have been met. Part 2 of 3: Perform the appropriate hypothesis test "by hand" using the equation editor. Assume an alpha level of 0.05 for your test. Be sure to use the appropriate probability notation. Then find the corresponding confidence interval for the proportion of cars whose safety inspections have expired. Part 3 of 3: State your conclusion making sure to site whether we reject or fail to reject and what that means in context. Then support your conclusion with the results from your confidence interval. Be sure to note whether the hypothesized value falls in our interval and what that means. Question 4) The statistics below give the percent of people in each of the 50 U.S. States not covered by health insurance before Obama Care. Answer both parts of the question based on the given information. Be sure to use the equation editor to show any calculations and include complete sentences in your solutions for both explaining the process and the answer. Part 1 of 2: Is it more appropriate to use the mean and standard deviation or the median and IQR to describe these data? Explain. Part 2 of 2: Were any of the states outliers? Show work using the equation editor in how you made your decision. Comment on if any existing outliers are high or low.