Construct the indicated confidence interval for the population mean p using the t-distribution. Assume the population is normally distributed. c = 0.99, x = 13.2, s=4.0, n= 10 (Round to one decimal place as needed.)\fIn a random sample of 18 people, the mean commute time to work was 31.9 minutes and the standard deviation was 7.2 minutes. Assume the population is normally distributed and use a t-distribution to construct a 99% confidence interval for the population mean u. What is the margin of error of p? Interpret the results.A company manufactures tennis b lls. When its tennis balls are dropped onto a concrete surface from a height of 100 inches, the company wants the mean height the balls bounce upward to be 55.5 inches. T s maintained by periodically te ytesting random samples of 25 tennis balls. If the t-value falls between - to.99 and to.99, then the company will be satisfied that it is manufacturing acceptable tennis balls. A sample of 25 balls is randomly selected and tested. The mean bounce height of the sample is 56.4 inches and the standard deviation is 0.25 inch. Assume the bounce heights are approximately normally distributed. Is the company making acceptable tennis balls