Reference no: EM13332777

How many cars must be randomly selected and tested in order to estimate the mean braking distance of registered cars in the US to give a 99% confidence that the sample mean is within 2 ft of the population means. The population standard deviation is known to be 7 ft.

Among 724 patients treated with a new medication for ADHD, 72 experienced nausea as an adverse reaction. Use a 0.05 significance level to test the claim that the rate of nausea is greater than the 6% rate experienced by patients treated with a placebo. Does nausea appear to be a concern for those given the new medication? Be sure to include hypotheses, test statistic z, and decision.
 

The population has a mean of 678 and the population standard deviation is known to be 58.3. Use a 0.05 level of significance to test the claim that the sample scores listed below came from the population. Identify hypotheses, test statistic, P-value or critical value, conclusion about the null, and final conclusion that addresses the original claim.

714 751 664 789 818 779 698 836 753 834 693 802

Consider the hypothesis test given by
H_0: µ = 530
H_1: µ ≠ 530
In a random sample of 81 participants, the sample mean is found to be x ¯ = 524 and the population standard deviation is σ = 27. Determine the P-value for this test. Is there sufficient evidence to justify the rejection of the null hypothesis at α = 0.01 level?