**Study on the Sleep Patterns of Visually Impaired Students**A study on the lifestyles of visually impaired students was conducted by asking them to keep a diary for multiple weeks. The students kept track of many lifestyle variables including how many hours of sleep they obtained on a typical day. Researchers found that visually impaired students averaged 9.03 hours of sleep, with a standard deviation of 2.91 hours. Assume that the number of hours of sleep for these visually impaired students is normally distributed.**Questions:**(a) What is the probability that a visually impaired student gets less than 6.1 hours of sleep? **Answer:** [Enter probability](b) What is the probability that a visually impaired student gets between 6.3 and 9.41 hours of sleep? **Answer:** [Enter probability](c) Thirty percent of students get less than how many hours of sleep on a typical day? **Answer:** [Enter number] hours

From the information, given thatLet X denotes the number of hours of sleep for these visually…

Answered: A study on the lifestyles of visually…

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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You may need to use the appropriate technology to answer this question. Data were collected on the top 1,000 financial advisers. Company A had 239 people on the list and another company, Company B, had 121 people on the list. A sample of 16 of the advisers from Company A and 10 of the advisers from Company B showed that the advisers managed many very large accounts with a large variance in the total amount of funds managed. The standard deviation of the amount managed by advisers from Company A was s₁ = $583 million. The standard deviation of the amount managed by advisers from Company B was s₂ = $484 million. Conduct a hypothesis test at a = 0.10 to determine if there is a significant difference in the population variances for the amounts managed by the two companies. What is your conclusion about the variability in the amount of funds managed by advisers from the two firms? State the null and alternative hypotheses. 2 2 H₂:0 2 Find the value of the test statistic. (Round your answer…
The amount of money that college students spend on food each week during the academic year is normally distributed with a mean of $31.28 and a standard deviation of $11.42 What is the probability that one randomly selected student will spend less than $25 per week on food? If you randomly select 10 students, what is the probability that their mean will be less than $25?
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8 pounds with a standard deviation of 0.95 pounds. In a recent study, a group of 55 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.9 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 55 individuals will be 1.9 pounds or less? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
The amount that households pay service providers for access to the Internet varies depending on the speed the household is looking for. It is determined the distribution is slightly skewed right with a mean monthly fee is $38 and a standard deviation of $10. Many households pay about $20 for limited broadband speed or about $40 for faster broadband speed, but some pay much more for lighting fast broadband speeds. a) Can you find the probability of a randomly selected household paying more than $40 for internet? Explain. b) AT&T has just released a new coverage area. AT&T hopes the new coverage area will help them increase their monthly profit by a minimum of $2000. What is the probability that the total amount of profit for 50 randomly selected households exceeds $2000?
A hypothesis regarding the weight of newborn infants at a community hospital is that the mean is 7.1 pounds. A sample of seven infants is randomly selected and their weights at birth are recorded as 6.1, 8.1, 9.1, 10.1, 7.1, 11.1, and 12.1 pounds. What is the sample standard deviation?
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8 pounds with a standard deviation of 1.05 pounds. In a recent study, a group of 45 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.73 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 45 individuals will be 1.73 pounds or more? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.75 pounds with a standard deviation of 1.02 pounds. In a recent study, a group of 60 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.9 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 60 individuals will be 1.9 pounds or less? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
One year, the distribution of salaries for professional sports players had a mean of $1.6 million and a standard deviation of $0.7 million. Suppose a sample of 100 major league players was taken. Find the approximate probability that the average salary of the 100 players that year exceeds $1.1 million.
If charge rates for annual tutoring services has a standard deviation of $1000, what is the probability that the mean charge rate of 300 randomly selected tutoring services will be within $80 of the mean charge rate of all tutoring services
The producer of a weight-loss pill advertises that people who use the pill lose, after one week, an average (mean) of 1.8 pounds with a standard deviation of 0.95 pounds. In a recent study, a group of 45 people who used this pill were interviewed. The study revealed that these people lost a mean of 1.92 pounds after one week. If the producer's claim is correct, what is the probability that the mean weight loss after one week on this pill for a random sample of 45 individuals will be 1.92 pounds or less? Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.
Among all monthly bills from a certain credit card company, the mean amount billed was $465 and the standard deviation was $300. In addition, for 15% of the bills, the amount billed was greater than $1000. A sample of 850 bills is drawn. What is the probability that more than 150 of the sampled bills are for amounts greater than $1000? Probability =
Consider two data sets from sampled populations, one with a high standard deviation and one with a low standard deviation. All else being equal, which dataset would have a lower probability of a Type One error?

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