In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. In addition, there is a weight limit of 2,500 pounds. Assume that the average weight of students, faculty, and staff on campus is 155 pounds, that the standard deviation is 27 pounds, and that the distribution of weights of individuals on campus is approximately normal. Suppose a random sample of 16 persons from the campus will be selected. USE SALT (a) What is the mean of the sampling distribution of X? H== (b) What is the standard deviation of the sampling distribution of X? dx = (c) What mean weights (in pounds) for a sample of 16 people will result in the total weight exceeding the weight limit of 2,500 pounds? The mean weight of 16 persons needs to be greater than lbs to exceed the weight limit of the elevator.

In a large section of a statistics​ class, the points for the final exam are normally​ distributed, with a mean of 74 and a standard deviation of 8. Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's. Find the lowest score on the final exam that would qualify a student for an​ A, a​ B, a​ C, and a D. The lowest score that would qualify a student for an A is nothing. ​(Round up to the nearest integer as​ needed.) The lowest score that would qualify a student for a B is nothing. ​(Round up to the nearest integer as​ needed.) The lowest score that would qualify a student for a C is nothing. ​(Round up to the nearest integer as​ needed.) The lowest score that would qualify a student for a D is nothing. ​(Round up to the nearest integer as​ needed.)

The mean IQ of 200,000 current and past University of Manitoba students has been found to be 81.9. The standard deviation was found to be 13.1. The student enrollment at the University of Manitoba in 2016 was 29,987. The minimum IQ to be able to graduate from the University of Winnipeg has been found to be 104. Of the 29,987 students at the University of Manitoba in 2016, how many would be expected to be smart enough to graduate from the University of Winnipeg? Assume a Gaussian distribution.

A particular fruits’ weights are normally distributed, with a mean of 312 grams, and a SD of 20 grams. If you pick 6 fruits at random, then 16% of the time, their mean weight will be greater than how many grams? (Give the answer to the nearest gram)

For a population that has a standard deviation of 22​, figure the standard deviation of the distribution of means for samples of size​ (a)2​, (b)4​, (c)5​ and​ (d)10.

The board of examiners that administers the real estate broker's examination in a certain state found that the mean score on the test was 494 and the standard deviation was 72. If the board wants to set the passing score so that only the best 10% of all applicants pass, what is the passing score? Assume that the scores are normally distributed. Round to the nearest whole number.

In a large section of a statistics class, the points for the final exam are normally distributed, with a mean of 73 and a standard deviation of 8. Grades are assigned such that the top 10% receive A's, the next 20% received B's, the middle 40% receive C's, the next 20% receive D's, and the bottom 10% receive F's. Find the lowest score on the final exam that would qualify a student for an A, a B, a C, and a D. Click here to view Page 1 of the Standard Normal Table. Click here to view Page 2 of the Standard Normal Table. The lowest score that would qualify a student for an A is (Round up to the nearest integer as needed.)

The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7.  Do twenty-year-olds have a different number of cavities? The data show the results of a survey of 13 twenty-year-olds who were asked how many cavities they have had. Assume that the distribution of the population is normal. 9, 8, 8, 10, 10, 9, 9, 10, 6, 6, 9, 8, 8 What can be concluded at the α = 0.01 level of significance? The p-value = _______  (Please show your answer to 4 decimal places.) The p-value is _______    α Based on this, we should _________     the null hypothesis.

In a large section of a statistics​ class, the points for the final exam are normally​ distributed, with a mean of 71and a standard deviation of 8. Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's. Find the lowest score on the final exam that would qualify a student for an​ A, a​ B, a​ C, and a D.

In a large section of a statistics​ class, the points for the final exam are normally​ distributed, with a mean of 69 and a standard deviation of 9.Grades are assigned such that the top​ 10% receive​ A's, the next​ 20% received​ B's, the middle​ 40% receive​ C's, the next​ 20% receive​ D's, and the bottom​ 10% receive​ F's. Find the lowest score on the final exam that would qualify a student for an​ A, a​ B, a​ C, and a D