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.)
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
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Question
![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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc95bdba4-3eab-4738-961e-5037ec9ea08a%2Fe53454d9-69ad-4480-bfbe-d6a4db489d32%2F32ahp2q_processed.jpeg&w=3840&q=75)
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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