Suppose that intake of calcium in adults 60 and older has a true mean of 721 mg and a true standarddeviation of 454 mg. Use the central limit theorem to find the probability that a random sample ofsize 50 will have a sample mean:a) Greater than 800 mgb) Less than 700 mgc) Between 700 and 850 mg

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Answered: Suppose that intake of calcium in…

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 that a college determines the following distribution for X=number of courses taken by a full-time student this semester: Value of X: 3 4 5 6 Probability 0.05. 0.25 0.27 a) The probability for X=4 is missing, What is it? b) What is the average number of courses full-time students at this college take this semester? c) What is the standard deviation of the number of courses full-time students at this college take this semester. d) What is P(X>4.7)
A population has a mean of 200 and a standard deviation of 90. Suppose a simple random sample of size 125 is selected and is used to estimate μ. Use z-table. a. What is the probability that the sample mean will be within 18 of the population mean (to 4 decimals)? b. What is the probability that the sample mean will be within 16 of the population mean (to 4 decimals)?
Suppose that an airline uses a seat width of 16.1 in. Assume men have hip breadths that are normally distributed with a mean of 14.5 in. and a standard deviation of 1.1 in. Complete parts (a) through (c) below. (b) If a plane is filled with 126 randomly selected men, find the probability that these men have a mean hip breadth greater than 16.1 in.
Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. Draw a graph and find the probability of a bone density test score greater than 0.33 a. The probability is (Round to four decimal places as needed.)
Suppose that an airline uses a seat width of 16.7 in. Assume that men have hip breadths that are normally distributed with a mean of 14.2 inches, and a standard deviation of 1in. Find the probability that if an individual man is randomly selected that his hip breadths will be greater than 16.7 in.
A large airline company called Fusion Fly monitors customer satisfaction by asking customers to rate their experience as a 1, 2, 3, 4, or 5, where a rating of 1 means "very poor" and 5 means "very good". The customers' ratings have a population mean of u=3.25, with a population standard deviation of o=1.86. Suppose that we will take a random sample of n=8 customers' ratings. Let x represent the sample mean of the 8 customers' ratings. Consider the sampling distribution of the sample mean x. Complete the following. Do not round any intermediate computations. Write your answers with two decimal places, rounding if needed. (a) Find u- (the mean of the sampling distribution of the sample mean). (b) Find o- (the standard deviation of the sampling distribution of the sample mean).
Suppose samples of size 100 are drawn randomly from a population that has a mean of 20 and a standard deviation of 5. What is the probability of observing a sample mean equal to or greater than 20.5? 0.8384 0.4192 0.1634 0.9192 0.1587
A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day beginning at 5:00 a.m. Although the length of a trip and the number of stops are constant, the time taken for each trip varies due to weather, traffic, and time of the day. According to the CTA, the mean time taken for the trip is 50 minutes. Suppose the travel time is Normally distributed with standard deviation o = 4 minutes. A random sample of 25 trips is obtained, and the time for each is recorded. Find the probability that the sample mean time will be less than 48 minutes.
Suppose that an airline uses a seat width of 16.3 in. Assume men have hip breadths that are normally distributed with a mean of 14.5 in. and a standard deviation of 11 in. Find the probability that if an individual man is randomly selected, his hip breadth will be greater than 16.3 in.
Assume that the mean length of a toothpick is mu = 6 cm , with a stand deviation of sigma = 0.14 cm . 1. If we were to select one toothpick at random, what is the probability that it is longer than 6.004 cm? 2. if we weee to select a Random sample of 45 tooth picks, what is the probability that the sample mean is longer than 6.004 cm?
The monthly salaries of employees working in a company have a standard normal distribution with an average of 1700t and a standard deviation of 500t. Accordingly, what is the probability that a randomly selected person's monthly salary will be LESS THAN 2000%? 28 - O A) 0,2257 O B) 0,7257 O C) 0,3264 O D) 0,9106 O E) 0,6736
It is estimated that 90% of all 19-year-old men have weights ranging from 117 to 207 lb. Assuming the weight distribution can be adequately modeled by a normal curve and that 117 and 207 are equidistant from the average weight µ, calculate σ.

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