Solution:- Given that values 80,79,77,77,76,76,75,75,75,75,74,74,74,74,74,74,74,74,73,73,73,73,73,72,72,71,71,71,71,71,71,70,70,70, 70, 70,70,69,69,69,69,68,68,68,67,67,67,67,67,66,65,65,65,65,65,64,62,62,62,61
a. The population mean is 70.5
= > ? = 70.5
standard deviation is 4.4
=> ? = 4.4
b. the probability that a sample mean of 40 players will be less
than 69.5 in : 0.0749
P(X < 69.5) = P(Z < (X - ?)/(?/sqrt(n)))
= P(z < (69.5 - 70.5)/(4.4/sqrt(40))
= P(Z < -1.4374)
= 0.0749
c. The probability that a sample mean of 40 players will be more
than 71 in :
P(X > 71) = P(Z > (71 - 70.5)/(4.4/sqrt(40))
= P(Z > 0.7187)
= 0.2358
d. The probability that sample mean of 40 players will be
between 70 and 71.5
P(70 < X < 71.5) = P((70 - 70.5)/(4.4/sqrt(40) < Z <
(71.5 - 70.5)/(4.4/sqrt(40))
= P(-0.7187 < Z < 1.4374)
= 0.6893
The data table contains frequency distribution of the heights of the players in a basketball league....
400. The following random sample of 28 female basketball player heights, in inches, is: 63 71 69 65 73 84 70 69 67 74 75 68 65 63 67 69 68 72 73 75 72 75 73 68 69 74 65 65 (Σx = 1961 Σx2 = 137,911) Using the box plot, the middle 50% of the heights fall between the heights:
44The following random sample of 28 female basketball player heights, in inches, is: 63 71 69 65 73 84 70 69 67 74 75 68 65 63 67 69 68 72 73 75 72 75 73 68 69 74 65 65 (Σx = 1961 Σx2 = 137,911) The shape of the box plot representing this distribution of female basketball player heights is:
The heights (to the nearest inch) of 30 males are shown below. Construct a frequency distribution and a frequency histogram of the data using 5 classes. Describe the shape of the histogram as symmetric, uniform, negatively skewed, class. Use the smallest whcle number class width possible. positively skewed, or none of these Construct a frequency distibution of the data using 5 classes. Use the minimum data entry as the lower limit of the first Class Frequency Midpoint 67766268745 68 65...
Problem #1: Consider the below matrix A, which you can copy and paste directly into Matlab. The matrix contains 3 columns. The first column consists of Test #1 marks, the second column is Test # 2 marks, and the third column is final exam marks for a large linear algebra course. Each row represents a particular student.A = [36 45 75 81 59 73 77 73 73 65 72 78 65 55 83 73 57 78 84 31 60 83...
Are there outliers? If so what are they? The following random sample of 28 female basketball player heights, in inches, is: 63 71 69 65 73 84 70 69 67 74 75 68 65 63 67 69 68 72 73 75 72 75 73 68 69 74 65 65 (Ex= 1961 Ex2 = 137,911)
The table below shows a frequency distributions for the heights of all Major League Baseball players from 1876-2012. (Source: www.baseball-almanac.com) Height inches 63 to 65 66 to 68 69 to 71 72 to 74 75 to 77 78 to 8(0 81 to 8:3 requency 73 1056 5006 7593 2903 291 a. [2 pts]What is the total number of people that have played Major League Baseball between 1876 and 2012? b. [2 pts]What is the percentage of Major League Baseball players...
Use the accompanying data set on the pulse rates (in beats per minute) of males to complete parts (a) and (b) below. LOADING... Click the icon to view the pulse rates of males. a. Find the mean and standard deviation, and verify that the pulse rates have a distribution that is roughly normal. The mean of the pulse rates is 71.871.8 beats per minute. (Round to one decimal place as needed.) The standard deviation of the pulse rates is 12.212.2...
Find the mean of the data summarized in the given frequency distribution: 55) The heights of a group of professional basketball players are summarized in the frequency distribution below. Find the mean height. Round your answer to one decimal place. Height (in.) Frequency 70 - 71 72-73 74 - 75 76 - 77 78 - 79 80 - 81 82-83 2 5 9 13 8 4 2
A random sample of 30 male college students was selected, and their heights were measured. The heights (in inches) are given below. 67 69 70 69 67 66 73 69 70 67 73 69 68 68 69 73 72 67 68 71 73 71 71 72 70 67 66 74 68 72 (a) Complete the frequency distribution for the data. Make sure to enter your answers for the relative frequency as decimals, rounded to the nearest tenth. Height Frequency Relative...
A randomly selected sample of college baseball players has the following heights in inches. 68, 63, 66, 63, 68, 63, 65, 66, 65, 67, 65, 65, 69, 71, 65, 70, 61, 66, 69, 62, 65, 64, 70, 63, 71, 63, 68, 68, 62, 71, 62, 65 Compute a 95% confidence interval for the population mean height of college baseball players based on this sample and fill in the blanks appropriately. < μ < (Keep 3 decimal places)