Practice Question 1:Assume that the height of AUM male students are normally distributed with a mean of 165 cmand a standard deviation of 10 cm.a) Find the probability that a random male height is less than 162 cm.b) Find the probability that a random male height is between 164 and 166 cm.c) What are the height that only 5% of males exceed this height?d) Find the probability that the average height of a random sample of 16 males will be lessthan 165.5.e) Find the probability that the average height of a random sample of 25 males will bebetween 164.5 and 165.5.Why we can apply CLT here?

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Answered: Assume that the height of AUM male…

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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Suppose the average amount of money that people spend on their pets per month is 47 dollars, with a standard deviation of 6 dollars. For a sample of 36 people, final the average amount of money spent on pets that defines the bottom 30% in the distribution.For a sample of 36 people, what is the probability for this sample’s mean to be higher than 50 dollars.
Suppose scores on a mathematics test have a mean 60 and standard deviation 20 while scores on an English test have a mean 60 and standard deviation 10. Bob gets 80 on both tests. a) On which test did Bob do better relative to his classmates? Explain. b) The scores on the tests each approximately follow a normal distribution and there are 50 students in each class How many students did better than Bob in each case? Page 8 of 11
Exam scores of a stat distribution are normally distributed with a mean of 70 and a standard deviation of 10. a) If the professor wants to give A's to the top 10% of the students, what should be the cutoff point for an A? b) If there are 9 students in the class, what is the probability that the average score would be more than 75?
For women aged 18-24, systolic blood pressures are normally distributed with a mean of 114.8 mm Hg and a standard deviation of 13.1 mm Hg. a) If a woman was randomly selected from the population, what is the probability that her blood pressure is between 119 and 122 mm Hg? b) What is the blood pressure of a woman who is at the 65th percentile? c) If 23 women aged 18-24 are randomly selected, find the probability that their mean systolic blood pressure is between 119 and 122 mm Hg. d) Find the mean and standard deviation of the sampling distribution of the sample sums of 23 women.
Assume that the square footage of a residential house in the US is normally distributed with a mean=1000 and standard deviation=150 square feet. If we select a random house what is the probability that it will be at most 1050 square feet?
6) Assume that the heights of men are normally distributed with a mean of 68.0 inches and a standard deviation of 3.5 inches. If 100 men are randomly selected, find the probability that they have a mean height greater than 69 inches.
Scores on a standardized exam for 2nd graders are approximately normally distributed with a mean of 72 and a standard deviation of 6. a) b) c)
Women have pulse rates that are normally distributed with a mean of 77.5 beats per minute and a standard deviation of 11.6 beats per minute. a.) What is the probability that a woman has a pulse rate higher than 73.2 beats per minute? b.) What pulse rate would separate the lowest 65% of women from the top 35%? c.) What is the probability that a group of 15 women has a mean pulse rate between 74.1 and 83.5 beats per minute? d.) Even though the sample size is less than thirty in part (c) of this question, why can the Central Limit Theorem still be applied? e.) If you were a doctor who is selecting pulse rates as cutoff values for determining whether further tests are needed for patients, which result is more relevant to use, part (a) or part (c)? Why?
In 2014, the per capita consumption of soft drinks in the United States was reported to be 42.1 gallons. Assume that the per capita consumption of soft drinks in the United States is approximately normally distributed with a mean of 42.1 gallons and a standard deviation of 13 gallons. 1) What is the probability that someone in the United States consumed more than 60 gallons of soft drinks in 2014? 2) What is the probability that someone in the United States consumed between 15 and 30 gallons of soft drinks in 2014? 3) Ninety-five percent of the people in the United States consumed less than how many gallons of soft drinks?
The Brac University Basketball Team is looking for new players to join the team. The heights of all the try-out participants is known to follow a normal distribution with a mean of 168 cm and a standard deviation of 7 cm. To have a shot at joining the team, one must have a height between 159 cm and 175 cm; otherwise the team may end up imbalanced and incompatible. a. What is the probability that a randomly selected try-out participant will not satisfy the height requirements? Answer in exact fraction, or rounded to at least 4 decimal places. b. Determine the 80 percentile value for the height of the participants. Answer in exact fraction, or rounded to at least 2 decimal places. cm c. A point quard on the team should be among the top 14.87% of the accepted height range. So, what is the minimum height the coach should look for while picking a point guard? Answer in exact fraction, or rounded to at least 2 decimal places. cm
A survey was conducted to measure the height of Canadian men. In the survey, respondents were grouped by age. In the 20-29 age group, the height was normally distributed, with a mean of 69.2 inches and a standard deviation of 2.9 inches. A study participant is randomly selected. a) Find the probability that his height is less than 66 inches. b) Find the probability that his height is between 66 and 72 inches. c) Find the probability that his height is more than 72 inches. d) Find P10 , the 10th percentile please show all steps using excel formulas

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