Q1 (a) An autonomous vehicle test drive results reported failure rate of craches withoutinjuries and measures the impact force. The test of selected car model producesimpact forces that are normally distributed with a mean of 30 metric tons andstandard deviation of 1.5 metric tons. For a random sample of 3 cars,(1)What is the standard deviation for the sample?(ii)(iii)If the car models with crach impact force test higher than 33 metric tons arerejected. Find the percentage of selected car models that will be rejected.Based on central limit theorem, what will be the shape of samplingdistribution of the sample mean impact force? Justify your answer.

(i) Obtain the standard deviation of the sample. The standard deviation of the sample is obtained…

Answered: Q1 (a) An autonomous vehicle test drive…

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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The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. The population standard deviation of the mileage is 5000 miles. Crosset Truck Company bought 48 tires and found from this purchase of tires that the average mileage for its trucks is in fact 58,500 miles. Use critical value approach and p-value approach to undertake your hypothesis testing. Your test is to know whether the Crosset’s experience is different from what is claimed by the manufacturer at a 5% significance level.
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A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 6 mature female pink seaperch collected in fall has a mean length of 112 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 99 millimeters and a standard deviation of 14 millimeters. At a = 0.20, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Select the correct rejection region(s) below. O A. t to O C. -to to (c) Find the standardized test statistiç. t%3D Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis.
Two independent groups of students were selected to participate in a study to determine if having video lectures in an online class has an effect on test scores. The students were randomly (SRS) placed into 2 groups, one group was the online class of 30 students with video lectures and the other group was the online class of 33 students without video lectures. The average test score on the online class of 30 students with video lectures was x-bar: 87 with a standard deviation of s = 1.8 and the average test score the online class of 33 students without video lectures x-bar = 86 with a standard deviation of s = 3.2. Is there enough evidence at the 1% level that the test scores of the online class with video lectures are higher than the test scores of the online class without video lectures? State the 99% confidence interval: a) (87-86) – (0.99)(0.6468) = 0.3597 (87-86) + (0.99)(0.6468) = 1.64 We are 99% confident that the average test scores of the online class with video lectures are…
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