In a random sample of seven people, the mean driving distance to work was 24.1 miles and the standard deviation was 7.8 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 95% confidence interval for the population mean u. Interpret the results. Identify the margin of error. (Round to one decimal place as needed.) hco rary ess sources

A survey found that​ women's heights are normally distributed with mean 63.1 in. and standard deviation 2.4 in. The survey also found that​ men's heights are normally distributed with a mean 67.5 in. and standard deviation 2.5. Complete parts a through c below.Question content area bottomPart 1a. Most of the live characters at an amusement park have height requirements with a minimum of 4 ft 9 in. and a maximum of 6 ft 2 in. Find the percentage of women meeting the height requirement.The percentage of women who meet the height requirement is enter your response here​%.​(Round to two decimal places as​ needed.)Part 2b. Find the percentage of men meeting the height requirement.The percentage of men who meet the height requirement is enter your response here​%. ​(Round to two decimal places as​ needed.)Part 3c. If the height requirements are changed to exclude only the tallest​ 5% of men and the shortest​ 5% of​ women, what are the new height​ requirements? The new height requirements are…

Construct the confidence interval for the population mean. If the sample size is 35, the sample mean is 4.8, and the sample standard deviation is 2.2. We also know that the population standard deviation is 2.6. Use the Confidence Level = 95%. Use parentheses and four decimal places.

Use the t-table or any statistical tool and report the t-score that you multiple by the standard error to form the margin of error for a 95% confidence interval for a mean with 5 observations.   a. 2.132   b. 2.776   c. 2.015   d. 2.571