An earlier exercise posed the following research question: "Many cars have a recommended tire pressure of 32 psi (pounds per square inch). At a roadside vehicle safety checkpoint, officials plan to randomly select 65 cars for which this is the recommended tire pressure and measure the actual tire pressure in the front left tire. They want to know whether drivers on average have too little pressure in their tires." Suppose that the experiment is conducted, and the mean and standard deviation for the 65 cars tested are 29.8 psi and 3 psi, respectively. Carry out the five steps to test the appropriate hypotheses using ? = 0.05. (Use a p-value, not a rejection region. Use ? = 0.05.) Compute the test statistics for this situation. (Round your answer to two decimal places.) t = Calculate the p-value for the test. (Use technology to calculate the p-value. Round your answer to four decimal places.) p-value = On the basis of the p-value, make a conclusion for this situation. Do not reject the null hypothesis because the p-value is greater than 0.05.Do not reject the null hypothesis because the p-value is smaller than 0.05. Reject the null hypothesis because the p-value is smaller than 0.05.Reject the null hypothesis because the p-value is greater than 0.05.

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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An earlier exercise posed the following research question: "Many cars have a recommended tire pressure of 32 psi (pounds per square inch). At a roadside vehicle safety checkpoint, officials plan to randomly select 65 cars for which this is the recommended tire pressure and measure the actual tire pressure in the front left tire. They want to know whether drivers on average have too little pressure in their tires." Suppose that the experiment is conducted, and the mean and standard deviation for the 65 cars tested are 29.8 psi and 3 psi, respectively. Carry out the five steps to test the appropriate hypotheses using

? = 0.05.

(Use a p-value, not a rejection region. Use ? = 0.05.)

Compute the test statistics for this situation. (Round your answer to two decimal places.)

t =

Calculate the p-value for the test. (Use technology to calculate the p-value. Round your answer to four decimal places.)

p-value =

On the basis of the p-value, make a conclusion for this situation.

Do not reject the null hypothesis because the p-value is greater than 0.05.Do not reject the null hypothesis because the p-value is smaller than 0.05. Reject the null hypothesis because the p-value is smaller than 0.05.Reject the null hypothesis because the p-value is greater than 0.05.

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