The question presents a statistical problem based on normal distribution:**Question:**Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches.**Options:**- A. 0.0082- B. 0.8989- C. 0.2881- D. 0.9918**Additional Features:**- There is an option to "View Instructor Tip" which likely provides additional guidance or hints for solving the problem.- A "Calculator" option is available for performing calculations.- There are interface elements for navigation, including a "Next" button.

Obtain the value of the Z-score for the sample mean of the random variable equals 63.0 inches. The…

Answered: Assume that the heights of women 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 average weight of an apple at John's orchard is 162 grams with a standard deviation of 8 grams. If you chose one apple at random, what's the probability that this apple will weigh more than 159 grams? Assume the apple weights are normally distributed.A. 0.5753B. 0.4247C. 0.352D. 0.648E. 0.38
In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 68.9 inches and a standard deviation of 3.0 inches. A study participant is randomly selected. a. Find the probability that a study participant has a height that is between 68 and 72 inches.
Provide an appropriate response. Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is known that the amount of beer poured by this filling machine follows a normal distribution with a mean of 14.14 ounces and a standard deviation of 0.04 ounce. Find the probability that the bottle contains more than 14.14 ounces of beer. 1 O 0.4 O 0.5
afactory manufactures car tyres that have an average lifetime of 45261 kilometers with a standard deviation of 2761 kilometers and the distribution of lifetime of the tyres is normal. A. find the probability that tyre's lifetime is between 42061 km and 48561 km? B. what is the lifetime in km, that 61%of tyres exceed?
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The average American man consumes 9.6 grams of sodium each day. Suppose that the sodium consumption of American men is normally distributed with a standard deviation of 0.8 grams. Suppose an American man is randomly chosen. Let X = the amount of sodium consumed. Round all numeric answers to 4 decimal places where possible. b. Find the probability that this American man consumes between 9.3 and 9.9 grams of sodium per day. c. The middle 10% of American men consume between what two weights of sodium?Low: High:
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Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height greater than 63.0 inches. O A. 0.0082 OB. 0.8989 O C. 02881 O D. 0.9918