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

Answered: Image /qna-images/answer/835fd74a-ad61-42cb-9e3d-6a59f80faaeb.jpg

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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The fresh egg weight of a randomly selected egg of a Gadwall Duck is a random variable with a mean of 43.1 grams and standard deviation of 1.9 grams. Suppose 599 fresh Gadwall Duck eggs are randomly selected and weighed. Compute the probability that the mean of the 599 egg weights is within 0.1 grams of the mean. The fresh egg weight of a randomly selected egg of a Gadwall Duck is a random variable with a mean of 43.1 grams and standard deviation of 1.9 grams. Suppose 599 fresh Gadwall Duck eggs are randomly selected and weighed. Compute the probability that the mean of the 599 egg weights is within 0.1 grams of the mean.
Among coffee drinkers men drink a mean of 5.6 cup per day with a standard deviation of 0.9 cups. Assume the number of coffee drink per day follows a normal distribution A) what proportion drink 5 cup per day or more B) what proportion drink no more than 4 cup per day
In a large town, adults’ height (in cm) follows a normal distribution with a mean of 165 cm and a standard deviation of 10 cm. If we draw 16 adults from this town at random, what is the probability that their average height exceeds 170 cm? A ) 97.72% B ) 95% C ) 2.28% D ) 5% E ) 1.96%
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.
Suppose that the number of gallons of milk sold per day at a local supermarket are normally distributed with mean and standard deviation of 496.1 and 23.15. respectively. What is the probability that on a given day the supermarket will sell below 489 gallons of milk? 1) We do not have enough information to calculate the value. 2) 0.3795 3) 0.6205 4) 0.8261 5) 0.1739
a) is the maximum probability of making a Type I error that we are willing to accept b) is the same as the population proportion, p c) measures the number of standard deviations from the mean d) is the probability of making a Type II error e) is the same as alpha
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.
Given a Normal Distribution with a population mean test score of 500 and a population standard deviation of 100. A.)For a sample of 81 test takers, calculate the standard error of the mean to 2 decimals. B.)What is the probability a sample of 81 test takers will provide a sample mean test score within 20 points of the population mean?
The average score on a communications exam was found to be 82 with a standard deviation of 5 points. Assuming these scores were normally distributed, what is the 10th percentile of these exams? a) 88.4 b) 1.28 c) 75.6 d) -1.28
Assume all populations are normally distributed. A travel analyst claims that the mean price of a round trip flight from New York City to Los Angeles is less than $507. In a random sample of 55 round trip flights from NYC to LA, the mean price is $502. Assume the population standard deviation is $111. At α = 0.05, is there enough evidence to support the travel analyst’s claim?
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.
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 μ = 4.29, with a population standard deviation of a = 1.15. Suppose that we will take a random sample of n=7 customers' ratings. Let x represent the sample mean of the 7 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 μ- (the mean of the sampling distribution of the sample mean). H₂=0 X (b) Find o- (the standard deviation of the sampling distribution of the sample mean). 0--0 X

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