It is a common belief that SUVS are safer than cars. In a collision, does an SUV sustain less damage (cost ofrepair) than a car?SUV Damage($)Car Damage($)SUV into CarHonda CR-V into Honda Civic$1,721$1,274Toyota RAV4 into Toyota Corolla$1,434$2,327Hyundai Tuscon into Kia Forte$850$3,223Volkswagon Tiguan intoVolkswagon Golf$2,329$2,058Jeep Patriot into Dodge Caliber$1,415$3,095Ford Escape into Ford Focus$1,470$3,386Nissan Rogue into Nissan Sentra$2,884$4,560Test the claim above at the a = 0.1 level of significance. Note: A normal probability plot of difference incar damages between SUVS and other cars indicates the population could be normal and a boxplotindicated no outliers.a. Express the null and alternative hypotheses in symbolic form for this claim. Assume H, = H – 42,where ui is the population mean cost for the SUV Damage and u2 is the mean cost for the CarDamage.Ho: Ha Select an answer VH1:P Select an answervb. What is the significance level?c. What is the test statistic? Round to 3 decimal places.d. What is the p -value? Round to 4 decimal places.e. Make a decision.O Reject the nullO Do not reject the nullf. What is the conclusion?O There is not sufficient evidence to support the claim that SUVS sustain less damage than cars ina collision.O There is sufficient evidence to support the claim that SUVS sustain less damage than cars in acollision.

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dl evel of signm damages between SUVS and other cars indicate cated no outliers. a. Express the null and alternative hypotheses where ui is the population mean cost for the Damage.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A researcher predicts that smoking cigarettes decreases a person's sense of smell. On a test of olfactory sensitivity (smell), the mean for non-smokers is 18.4. A sample of 12 people who smoke a pack each day have a sample mean of 16.25 (sample variance = 4.75). Complete the following statement: We ["", ""] the null. Smokers have ["", "", ""] in olfactory sensitivity compared to non-smokers.
A group of students (large group) took a test in mathematics and the final scores have a mean of 68 and a variance of 100. If the distribution of these scores is approximately normal, then what percent of the students: i. Scored higher than 75? Should pass the test (scores > 65)? Should fail the test (scores < 65)? ii. iii.
A coin-operated coffee machine made by BIG Corporation was designed to discharge a mean of 7.1 ounces of coffee per cup. If it dispenses more than that on average, the corporation may lose money, and if it dispenses less, the customers may complain. Believing that the mean amount of coffee dispensed by the machine, µ, is less than 7.1 ounces, BIG plans to do a statistical test of the claim that the machine is working as designed. Technicians gather a random sample of fill amounts and find that the mean of the sample is 6.7 ounces and that the standard deviation is 0.4 ounces. Based on this information, answer the questions below.
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A basketball coach believes that the variance of the heights of adult male basketball players is different from the variance of heights for the general population of men. The sample variance of heights, measured in inches, for a random sample of 19 basketball players is 14.22. The sample variance for a random sample of 18 other men is 34.49. Assume that both population distributions are approximately normal and test the coach’s claim using a 0.10 level of significance. Does the evidence support the coach’s claim? Let male basketball players be Population 1 and men in general be Population 2. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. H0: σ21=σ22: Ha: σ21⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯σ22 Step 2 of 3: Compute the value of the test statistic. Round your answer to four decimal places. Step 3 of 3: Draw a conclusion and interpret the decision.
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