**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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An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 130 lb and 191 lb. The new population of pilots has normally distributed weights with a mean of 136 lb and a standard deviation of 34.9 lb a. If a pilot is randomly selected find the probability that his weight is between 130 lb and 191 lb.
An energy study found that household use of electricity had a mean of 682 and a standard deviation of 551 kilowatt-hours. Suppose the distribution of energy use was normal. Using a table, calculator, or software that can give normal probabilities, find the proportion of households with electricity use greater than 1000 kilowatt-hours.
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?
TREKLAIR bulbs have an average lifespan of800 hours with a variance of 1,600 hours2 .This duration oflife has a normal distribution. Find the probability that abulb lasts between 778 and 834 hours.
According to College Board, the average out-of-state tuition for a four-year public college was $8,893 for the 2013-2014 academic year. There are a total of 629 four-year public institutions in the U.S. Assume that the standard deviation for the tuition for these colleges is $950. A random sample of 60 four-year public colleges was selected. What is the probability that the average tuition from this sample is less than $9,000?
A credit score is used by credit agencies (such as mortgage companies and banks) to assess the creditworthiness of individuals. Values range from 300 to 850, with a credit score over 700 considered to be a quality credit risk. According to a survey, the mean credit score is 700.1. A credit analyst wondered whether high-income individuals (incomes in excess of $100,000 per year) had higher credit scores. He obtained a random sample of 45 high-income individuals and found the sample mean credit score to be 713.4 with a standard deviation of 84.9. Conduct the appropriate test to determine if high-income individuals have higher credit scores at the a = 0.05 level of significance. State the null and alternative hypotheses. Ho: H (Type integers or decimals. Do not round.) Identify the t-statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) e%3D Make a conclusion regarding the hypothesis. the null hypothesis. There…
The Aluminum Association reports that the average American uses 56.8 pounds of aluminum in a year. A random sample of 50 households is monitored for one year to determine aluminum usage. If the population standard deviation of annual usage is 12.3 pounds, what is the probability that the sample mean will be each of the following? Appendix A Statistical Tables d. Less than 55 poundse. Less than 49 pounds
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.
A report on egg consumption shows that people living in China eat an average of 196 eggs each year with a standard deviation of 18.3 eggs. If a group of 81 Chinese people are selected at random, what is the probability that the average egg consumption of this group will be more than 200 eggs?

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