Statistics: Concepts and Controversies - WebAssign and eBook Access
Statistics: Concepts and Controversies - WebAssign and eBook Access
9th Edition
ISBN: 9781319147976
Author: Moore
Publisher: MAC HIGHER
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Chapter 12, Problem 1CTB
To determine

To find: The median, first quartile, and third quartile of the Ruth’s home run counts in Major League Baseball for 22 years.

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Answer to Problem 1CTB

Solution: The median, first quartile, and third quartile of the Ruth’s home run counts in Major League Baseball for 22 years were obtained as 38.00, 9.75, and 47.50, respectively.

Explanation of Solution

Calculation: To obtain median, first quartile, and third quartile for the provided data, following steps are followed in Minitab software:

Step 1: Open the Minitab file and enter the data in C1 column of the Minitab worksheet.

Step 2: Go to Stat and select the “Basic Statistics” and then select the option “Display Descriptive Statistics”.

Step 3: Enter C1 in the variables column.

Step 4: Choose mean and median under the “Statistics” tab.

Step 5: Click OK.

The median, first quartile, and third quartile were obtained as 38.00, 9.75, and 47.50, respectively.

Interpretation: Median is the middle values of the data set when arranged in the ascending order and 50% of the data lies between first quartile and third quartile.

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To  evaluate  the  success  of  a  1-year  experimental  program  designed  to  increase  the  mathematical achievement of underprivileged high school seniors, a random sample of participants in the program will be selected and their mathematics scores will be compared with the previous year’s  statewide  average  of  525  for  underprivileged  seniors.  The  researchers  want  to  determine  whether the experimental program has increased the mean achievement level over the previous year’s statewide average. If alpha=.05, what sample size is needed to have a probability of Type II error of at most .025 if the actual mean is increased to 550? From previous results, sigma=80.
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