Directions: 1. Solve the following problems your solutions and explanations on y

Question

Directions: 1. Solve the following problems your solutions and explanations on your own paper. Do not write answers on this p 2. AND explain your reasoning using complete English sentences. Explanations must directly follow the solution for each part of the problem. 3. You must write your name on the top right of the paper you turn in. 4. You must write the title of this problem set on the top of your paper. 5. Turn in your solutions following the directions in the assignment information on Canvas. The table below shows a frequency distributions for the heights of all Major League Baseball players from 1876-2012. (Source 1. Height (inches) Frequency 63 to 65 66 to 68 69 to 71 72 to 74 75 to 77 78 to 80 81 to 83 73 1056 5006 7593 2903 291 a. [2 pts]What is the total number of people that have played Major League b. [2 pts]What is the percentage of Major League Baseball players 6'0" or 2. The mean height of men is 69.7 inches. Assume that the heights of men are Baseball between 1876 and 2012? taller? Round your answer to 2 decimal places. normally distributed, with a standard deviation of 2.9 in. a. [2 pts] 10% of men are taller than which height? Round your answer to 1 b. 12 pts] Find the percentage of men that are 6'0" or taller. Round your final c. [1 pts] How does the approximate percentage for the height of men 6'0" or decimal place. answer to 2 decimal places. taller (from the normal distribution) compare with the actual percentage of baseball players 6'0" or taller (from Problem 1)? d. [1 pts] Based on your normal distribution calculation from part (b), approximately how many Major League Baseball players would you expect to be 6'0" or taller? Round your answer to the nearest whole number

Explanation / Answer

#1.
a)
Total number of players = 73 + 1056 + 5006 + 7593 + 2903 + 291 + 11 = 16933

b)
6' is 12*6 = 72 inches
Required percentage = (7593 + 2903 + 291 + 11)/16933 = 63.77%

#2.
mean = 69.7, sd = 2.9
a)
z-value = 1.28
x = 69.7 + 1.28*2.9 = 73.4

b)
P(X>72)
= P(z > (72 - 69.7)/2.9)
= P(z > 0.7931)
= 0.2139

i.e. 21.39%

c)
it is less than the % from baseball players

d)
expected baseball plyers taller than 6' = 16933*0.2139 = 3621.9687

i.e. 3622

Related Questions

Navigate

• Browse (All)
• Browse D
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.