The average waistline of adultfemales in a certain city measures24 inches, with a standard deviationof 4 inches. Random samples of size40 are drawn from this population.mnatChoose.• What is theappropriate measure/distribution tobe used?Find the probability that the meanwaistline of a random sample of 40females is at most 26 inches?99.92%3.160.00080.0154% Whatpercent of sample means will liebetween 23 and 25 inches? (nearesthundredths)

Answered: Image /qna-images/answer/0edba5f8-444c-4062-a53f-0030e9df4626.jpg

Answered: The average waistline of adult females…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Esp Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound. A random sample of 36 farm-raised trout is selected. The mean fat content for the sample is 30.5 grams per pound. Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 36 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
A manufacturer knows that their items have a normally distributed length, with a mean of 13 inches, and standard deviation of 1.9 inches. If 25 items are chosen at random, what is the probability that their mean length is less than 12.1 inches? Check Answer
The weights of ice cream cartons are normally distributed with a meanweight of 10 ounces and a standard deviation of 0.5 ounce. You randomly select 4 cartons. What is the probability that their mean weight is greater than 10.40 ounces?
The grades of a statistics midterm are normally distributed with a mean of 79 and a standard deviation of 3.5. using a table, what is the probability that a student will receive a grade between 74 and 80?
Suppose the average age of a Tulane undergraduate is 20 years with a standard deviation of 1.2 years. Suppose we obtain a random sample of 80 tulane undergraduates. Find the probability that the sample average is at least 20.3 years.
About 80% of all female heart transplant patients will survive for at least 3 years. Seventy female heart transplant patients are randomly selected. What is the probability that the sample proportion surviving for at least 3 years will be less than 75%? Assume the sampling distribution of sample proportions is a normal distribution. The mean and the sample proportion is equlal to the population proportion and the standard deviation is equal to pq/n
Americans spend an average 12.2 minutes in the shower. If the standard deviation of the variable is 2 minutes and the variable is normally distributed, find the probability that the mean time of a sample of 15 Americans who shower will be less than 12 minutes.
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 122.7-cm and a standard deviation of 0.5-cm. Find the probability that the length of a randomly selected steel rod is between 122.8-cm and 123.2-cm.
The heights of students are normally distributed with mean 161 inches and standard deviation of 4.56 inches. Find the probability that the probability of height is less than 165 inches?
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 125.6-cm and a standard deviation of 1.1-cm. For shipment, 15 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is between 124.7-cm and 125.3-cm.P(124.7-cm < M < 125.3-cm) = _________Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.
The mean number of words per minute (wpm) typed by a speed typist is 133 with a variance off 144 What is the probability that the sample mean would differ from the population mean by greater than 2.9 wpm if 90 speed typist are randomly selected? Round answer 4 places
A racing car consumes a mean of 8686 gallons of gas per race with a standard deviation of 77 gallons. If 4141 racing cars are randomly selected, what is the probability that the sample mean would be greater than 84.184.1 gallons? Round your answer to four decimal places.

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