In the article "Experimental Measurement of the Stopping Performance of a Tractor-Semitrailer from Multiple Speeds", NHTSA, DOT HS 811 48, June 2011, the following stoppingdistances (in feet) for a particular truck at 20mph were given:32.1; 30.6; 31.4; 30.4; 31.0; 31.9Do the sample data suggest the true mean stopping distance exceeds 30 feet? Conduct anappropriate hypothesis test on a=0.05.

Given data 32.1, 30.6, 31.4, 30.4, 31.0, 31.9

Answered: In the article "Experimental…

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 following sample data are from a normal population: Sample size (n) = 25, Sample mean=14, Sample standard deviation=3.6 With 95% confidence, what is the margin of error for the estimation of the population mean?
You may need to use the appropriate appendix table or technology to answer this question. The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is $2.94. The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is $0.25 for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at 95% confidence. (Round your answers up to the nearest whole number.) (a) The desired margin of error is $0.10. (b) The desired margin of error is $0.06. (c) The desired margin of error is $0.04.
The mean potassium content of a popular sports drink is listed as 132 mg in a 32-oz bottle. Analysis of 24 bottles indicates a sample mean of 131.2 mg. (a) State the hypotheses for a two-tailed test of the claimed potassium content.. a. Ho: μ= 132 mg vs. H₁: b. He: ≤132 mg vs. H₁: c. He: ≥132 mg vs. H₁: Oa Ob Oc (b) Assuming a known standard deviation of 2.1 mg, calculate the z test statistic to test the manufacturer's claim. (Round your answer to 2 decimal places. A negative value should be indicated by a minus sign.) Test statistic 132 mg >132 mg <132 mg (c) At the 2 percent level of significance (a = .02) does the sample contradict the manufacturer's claim? Decision Rule: Reject Ho
Please answer the following: You can use the graphing calculator-just explain how to input into calculator. A tire manufacturer beleives that the tread life of its snow tires can be described by a normal model with a mean of 32,000 miles and standard deviation of 2,500 miles. a) If you buy a set of these tires, would it be reasonable for you to hope that they last 40,000 miles? Explain. b) What proportion of these tires can be expected to last less than 30,000 miles? c) What proportion of these tires can be expected to last between 30,000 and 35,000 miles? d) Estimate the IQR of the tread lives. e) In planning a marketing strategy, a local tire dealer wants to offer a refund to any customer whose tires fail to last a certain number of miles. However, the dealer does not want to take too big a risk. If the dealer is willing to give refunds to no more than 1 of every 25 customers, for what mileage can he be guaranteed these tires to last?
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