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.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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