U. What is tne probablity that a sample mean of 35 players will bê bêtwéén 69 and 70.5 in.? E Click the icon to view the data table of heights. ..... a. The population mean is. (Round to one decimal place as needed.) The population standard deviation is. (Round to two decimal places as needed.) b. The probability that the sample mean will be less than 68.5 is (Round to four decimal places as needed.) c. The probability that the sample mean will be more than 70 is (Round to four decimal places as needed.) d. The probability that the sample mean will be between 69 and 70.5 is (Round to four decimal places as needed.) Player heights Full data setO Height (in.) 79 67 73 72 78 67 72 71 78 67 66 78 76 71 66 75 71 66 66 75 75 71 70 70 66 75 75 65 65 70 69 75 75 65 65 69 69 75 65 74 68 68 64 74 63 74 68 68 63 61 74 74 68 61 60 74 68 73 68 60 Print Done

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 data table contains the normally distributed heights of players in a basketball league, with a mean of 65 inches and a standard deviation of 3.5 inches. 

Tasks:
a. Calculate the probability that a randomly selected player will be taller than 68 inches. (Round to four decimal places as needed.) 
b. Determine the probability a randomly selected player will be less than 60 inches tall. (Round to four decimal places as needed.)
c. Find the probability that a randomly chosen player will be between 63 and 70 inches. (Round to four decimal places as needed.)

Additionally, there is a pop-up window titled “Player Heights,” displaying the following data, referred to as “Full data set”: 

Player Heights (in inches): 
60, 65, 62, 66, 67, 70, 72, 74, 63, 68, 69, 71, 65, 64, 66. 

These data points are intended for statistical analysis following the tasks specified above.
Transcribed Image Text:The data table contains the normally distributed heights of players in a basketball league, with a mean of 65 inches and a standard deviation of 3.5 inches. Tasks: a. Calculate the probability that a randomly selected player will be taller than 68 inches. (Round to four decimal places as needed.) b. Determine the probability a randomly selected player will be less than 60 inches tall. (Round to four decimal places as needed.) c. Find the probability that a randomly chosen player will be between 63 and 70 inches. (Round to four decimal places as needed.) Additionally, there is a pop-up window titled “Player Heights,” displaying the following data, referred to as “Full data set”: Player Heights (in inches): 60, 65, 62, 66, 67, 70, 72, 74, 63, 68, 69, 71, 65, 64, 66. These data points are intended for statistical analysis following the tasks specified above.
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