A company has developed an electric car they say can travel over 500 mues on a single charge. A consumner car magazine wants to test this claim. The magazine randomly selects 16 owners of the car and ask them to measure how far the car can travel on a full charge. The mean distance traveled by these 16 cars was 510 miles with a standard deviation of 20 miles. Test the hypothesis that the mean distance the car can travel on a single charge is greater than 500 miles. Use a 0.05 level of significance. (Assume that the distances the car can travel on one charge are normally distributed.)

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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A company has developed an electric car they say can travel over 500
mues on a single charge. A consumer car magazine wants to test this claim. The
magazine randomly selects 16 owners of the car and ask them to measure how far
the car can travel on a full charge. The mean distance traveled by these 16 cars was
510 miles with a standard deviation of 20 miles. Test the hypothesis that the mean
distance the car can travel on a single charge is greater than 500 miles. Use a 0.05
level of significance. (Assume that the distances the car can travel on one charge are
normally distributed.)
(a) State the null and alternative hypothesis.
(b) Will this be a right-tailed, left-tailed, or two-tailed test?
(c) Calculate the test statistic assuming the null hypothesis is true.
T =
%3D
(d) Use the test statistic to calculate the P-value for the test.
P- value =
(e) Does the data provide enough evidence to conclude that, at the 5% significance
level, the mean distance this car can travel with a full charge is greater than
500 miles?
Transcribed Image Text:A company has developed an electric car they say can travel over 500 mues on a single charge. A consumer car magazine wants to test this claim. The magazine randomly selects 16 owners of the car and ask them to measure how far the car can travel on a full charge. The mean distance traveled by these 16 cars was 510 miles with a standard deviation of 20 miles. Test the hypothesis that the mean distance the car can travel on a single charge is greater than 500 miles. Use a 0.05 level of significance. (Assume that the distances the car can travel on one charge are normally distributed.) (a) State the null and alternative hypothesis. (b) Will this be a right-tailed, left-tailed, or two-tailed test? (c) Calculate the test statistic assuming the null hypothesis is true. T = %3D (d) Use the test statistic to calculate the P-value for the test. P- value = (e) Does the data provide enough evidence to conclude that, at the 5% significance level, the mean distance this car can travel with a full charge is greater than 500 miles?
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