The lengths of lumber a machine cuts are normally distributed with a mean of103 inches and a standard deviation of 0.5 inch.(a) What is the probability that a randomly selected board cut by the machinehas a length greater than 103.19 inches?(b) A sample of 38 boards is randomly selected. What is the probability thattheir mean length is greater than 103.19 inches?(a) The probability is(Round to four decimal places as needed.)

The random variable length of lumber is normally distributed.The population mean is 103.The…

Answered: he lengths of lumber a machine cuts are…

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 Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 65 ounces and a standard deviation of 3 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 59 and 74 ounces? c) What percentage of the widget weights lie below 68 ? %
Two samples are given. Find each sample's a) standard deviation and b) coefficient of variation. Then decide c) which sample has the higher dispersion, and d) which sample has the higher relative dispersion. A: 3, 7, 9, 7, 5 B: 10, 9, 4, 8, 3, 11, 7 D a) What are the sample standard deviations? SA (Do not round until the final answer. Then round to the nearest hundredth as needed.) Sg = (Do not round until the final answer. Then round to the nearest hundredth as needed.)
48) At a tennis tournament a statistician keeps track of every serve. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 11 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell shaped. What proportion of the player's serves are expected to be between 119 mph and 130 mph? A) 0.997 B) 0.0235 C) 0.95 D) 0.047
Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The amounts of time employees of a telecommunications company have worked for the company are normally distributed with a mean of 5.90 years and a standard deviation of 1.80 years. Random samples of size 20 are drawn from the population and the mean of each sample is determined. Round the answers to the nearest hundredth. Answer choices: A.) 5.90 years , 0.40 years b) 5.90 years , 0.09 years c.) 1.32 years , 1.80 years d) 1.32 years , 0.40 years
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 39 ounces and a standard deviation of 10 ounces. Use the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 99.7% of the widget weights lie between and b) What percentage of the widget weights lie between 29 and 69 ounces? c) What percentage of the widget weights lie below 59 ?
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 36 ounces and a standard deviation of 10 ounces. Use the Standard Deviation Rule, also known as the Empirical Rule. Suggestion: sketch the distribution in order to answer these questions. a) 68% of the widget weights lie between and b) What percentage of the widget weights lie between 16 and 46 ounces? c) What percentage of the widget weights lie below 66 ? Ouortion Holn: Dlidon
3 decimals if it has decimals.
McPhilly is conducting a study on the amount of money a customer spends on each visit to the restaurant. The company looks at the receipts from 20 McPhilly restaurants. The company found that the mean amount spent is $11 with a $3 standard deviation. a. What type of sampling method was used? b. What is the probability that a customer spend greater than $8 each visit? c. What is the probability that a customer spends less than $13 each visit? d. The customers were asked to respond to the following survey question, determine if the question is biased. Explain why or why not? "What menu item gives you the best value?
Six different titrations are found to be 0.5018 0.5047 0.5062 0.5039 0.5056 0.5038. Calculate the mean, median, average deviation, standard deviation, and coefficient of variation
John Beale of Stanford, California, recorded the speeds of cars driving past his house, where the speed limit read 20 mph. The mean of 100 representative readings was 23.76 mph, with a standard deviation of 3.53 mph. a) How many standard deviations from the mean would a car going the speed limit be? b) Which would be more unusual, a car traveling 35 mph or one going 8 mph? a) A car traveling at the speed limit is from the mean. (Round to two decimal places as needed.) b) Choose the correct answer below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) OA. B. standard deviations O C. The car traveling 35 mph is more unusual. It is standard deviations from the mean, while the car traveling 8 mph is standard deviations from the mean. The car traveling 8 mph is more unusual. It is standard deviations from the mean, while the car traveling 35 mph is standard deviations from the mean. Both cars are equally unusual. Both cars are standard…

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