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 height of men is a normally distributed variable with a mean of 68 inches and a standard deviation of 3 inches. Round to ONE decimal place. A) what is the minimum height you could be to be considered in the top 5% of tallest men? B) what is the tallest you could be to be considered in the shortest 15% of men?
A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
Chauncey Billups, a current shooting guard for the Los Angeles Clippers, has a career free-throw percentage of 89.4%. Suppose he shoots six free throws in tonight's game. What is the standard deviation of the number of free throws that Billups will make? A) 0.5364 B) 0.5686 C) 0.7540 D) 5.6860
Need help with A,B,and C
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 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.
The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget weights have a mean of 44 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 24 and 74 ounces? c) What percentage of the widget weights lie above 34? Question Help: DVideo D Post to forum E Calculator Submit Question
a) In the process of designing an airplane, men were measured to determine the size of the seat that was needed. Men have mean hip width of 36.6 cm and a standard deviation of 2.5 cm. Copy and complete the picture below as we have done in class. b) What percentage of men will have hip widths between 36.6cm and 44.1 cm c) About 95% of men will have hip widths between what lengths?

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