Exam 9: One-Sample Tests of a Hypothesis

i. If the null hypothesis is μ ≥ 200 and the alternate hypothesis states that μ is less than 200, then, a two-tail test is being conducted. Ii) For a one-tailed test of hypothesis, the area of rejection is only in one tail of the curve. Iii) As the sample size increases, the curve of the t-distribution approaches the standard normal distribution

A manufacturer claims that less than 1% of all his products do not meet the minimum government standards. A survey of 500 products revealed ten did not meet the standard.

One of the major U.S. tire makers wishes to review its warranty for their rainmaker tire. The warranty is for 40,000 miles. The tire company believes that the tire actually lasts more than 40,000 miles. A Sample 49 tires revealed that the mean number of miles is 45,000 miles with a standard deviation of 15,000 miles. Test the hypothesis with a 0.05 significance level.