A certain size of tires is supposed to be inflated to 35 psi. The owner of a vehicle repair shop would like to test the hypotheses =35 versus 35 where μ = the true mean tire pressure for all customers with this tire size. A 90% confidence interval based upon a random sample of 40 customers is (32.1, 34.3). Using the interval, can the owner reject the null hypothesis? Yes, the null hypothesis can be rejected at the significance level α = 0.05 because 35 is not contained in the 90% confidence interval. Yes, the null hypothesis can be rejected at the significance level α = 0.10 because 35 is not contained in the 90% confidence interval. No, the null hypothesis cannot be rejected at the significance level α = 0.05 because 35 is not contained in the 90% confidence interval. No, the null hypothesis cannot be rejected at the significance level α = 0.10 because 35 is not contained in the 90% confidence interval.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A certain size of tires is supposed to be inflated to 35 psi. The owner of a vehicle repair shop would like to test the hypotheses =35 versus 35 where μ = the true mean tire pressure for all customers with this tire size. A 90% confidence interval based upon a random sample of 40 customers is (32.1, 34.3). Using the interval, can the owner reject the null hypothesis?

Yes, the null hypothesis can be rejected at the significance level α = 0.05 because 35 is not contained in the 90% confidence interval.
Yes, the null hypothesis can be rejected at the significance level α = 0.10 because 35 is not contained in the 90% confidence interval.
No, the null hypothesis cannot be rejected at the significance level α = 0.05 because 35 is not contained in the 90% confidence interval.
No, the null hypothesis cannot be rejected at the significance level α = 0.10 because 35 is not contained in the 90% confidence interval.
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