O Macmillan LearningThe United States Department of Agriculture (USDA) found that the proportion of young adults ages 20-39 who regularly skipeating breakfast is 0.238. Suppose that Lance, a nutritionist, surveys the dietary habits of a random sample of size n = 500 ofyoung adults ages 20-39 in the United States.Apply the central limit theorem to find the probability that the number of individuals, X, in Lance's sample who regularly skipbreakfast is greater than 126. You may find table of critical values helpful.Express the result as a decimal precise to three places.P(X> 126) =P(X < 98)0.355Apply the central limit theorem for the binomial distribution to find the probability that the number of individuals in Lance'ssample who regularly skip breakfast is less than 98. Express the result as a decimal precise to three places.=Incorrect0.644Incorrect

Answered: The United States Department of…

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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In 1995, the median price of a PC was $1200. Suppose that a random sample of100 persons who bought their PCs during that year recorded the amount spent (byeach of them) on his/her PC. State the approximate sampling distribution of ˆp, theproportion of persons who spent more than $1200 on a PC. Find the probabilitythat more than 60% of this group spent more than $1200. NOTE: Please explain each part, so the problem can be used as a Study Guide
The president of Doerman Distributors, Inc. believes that 30% of the firm's orders come from first-time customers. A random sample of 100 orders will be used to estimate the proportion of first-time customers. What is the probability that the sample proportion will be within .05?
Customers of a restaurant have been complaining about food poisoning over the past week. A health professional was called to investigate. She tested a representative sample of the eggs and reported that 24% of the sample eggs tested positive for the salmonella bacterium. If a second health professional tests 66 eggs at random, what is the probability that exactly 14 test positive for salmonella? Use a normal distribution to approximate the answer and write it as a decimal rounded to the nearest hundredth.
Malaysian families recorded an average of 17.2 kg of glass garbage each year with the standard deviation of the distribution is 2.5 kg. Using a central limit theorem, compute a probability that the mean of a sample of 55 families will be between 17 kg and 18 kg.
In each trial of a certain random experiment the probability of a success is equal to 0.2. Find the number n of independent trials that should be conducted if the mean of the distribution of the number of successes in the n trials is to be equal to its standard deviation.
A study conducted by the Center for Disease Control that asked 15,000 students about their sleep habits showed that about 73% of high school students did not get the required 8 hours of sleep per night. Let p̂ be the proportion of high school students who do not get 8 hours of sleep daily. Find the probability of selecting a sample of 15000 students in which between 70% and 75% of the students did not get 8 hours of sleep every day.
A psychologist believes that 65% of male drivers when lost continue to drive hoping to find the location they seek rather than ask directions. To examine this belief, he took a random sample of 350 male drivers and asked each what they did when lost. Assume that the sampling distribution of the sample proportion of male drivers who continue driving is at least approximately normal. If the belief is true, determine the probability that less than 60% said they continue driving. Show your work below
Suppose that 70% of Americans support the death penalty for persons convicted of murder. Let p> (p hat) be the sample proportion of proportion of people who support the death penalty in an SRS of Americans. Suppose we set our sample size to be n=84. What is the probability of choosing an SRS in which between 65% and 73% of the people in the people in the sample support the death penalty? That is, find P(0.65<p(phat)<0.73). Show your work and box your answer.
The probability distribution itself is assumed to be a beta distribution. True or false?
A doctor is interested in the proportion of patients which live at least 5 years after being diagnosed with stage 4 breast cancer. He randomly selects 138 patients diagnosed with stage 4 breast cancer and follows them for 5 years. Suppose the true 5 year survival rate for stage 4 breast cancer is 38%. 1. How are the collection of all sample proportions of samples of size 138 distributed? NO 2. What is the probability that fewer than 34% of the patients studied survived for at least 5 years? o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. o There is a survived for at least 5 years. 3. What is the probability that more than 45% of the patients studied survived for at least 5 years? chance that fewer than 34% of the patients studied o List the z-scores needed to calculate the result. If there is more than one z-score, separate the values with a comma. O There is a survived for at least 5 years. chance that more than…
from previous published studies, the probability that a pine snake hatched in a zoo will survive to maturity is 72%. If five pine snakes are hatched, what is the predicted probability distribution for the numer of pine snakes that will survivie to maturity? (Find prob(X=k) for k= 0,1,2,3,4, and 5) Carry three decimal places in your calculation.
Aurah wanted to know the distribution of the number of students with blood type O. She randomly selected six students and recorded their blood type. Suppose the probability of a student having blood type O is 0.45 and X be the number of students with blood type O. Which of the following is(are) TRUE about the experiment? A. It is a Bernoulli experiment with probability of success equal to 0.45B. The success in this experiment is observing six students with blood type O.C. X-Bin(6.0.45)D. A single trial of the experiment corresponds to six students.

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