Essentials Of Statistics
Essentials Of Statistics
4th Edition
ISBN: 9781305093836
Author: HEALEY, Joseph F.
Publisher: Cengage Learning,
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Chapter 4, Problem 4.7P

S O C Labor force participation rates (percent employed), percent high school graduates, and mean income for males and females in ten states are reported here. Calculate the mean and the standard for both groups for each variable and describe the differences. Are males and females unequal on any of these variables? How great is the gender inequality?

Labor Force Participation Rate Percentage HS Graduates Mean Income
State Male Female Male Female Male Female
A 65.8 54.3 81.0 81.9 55,623 50,012
B 76.7 63.0 88.4 89.7 52,345 51,556
C 71.8 57.2 82.4 84.6 55,789 48,231
D 76.1 66.6 89.5 90.9 48,907 46,289
E 75.1 63.1 86.9 88.7 62,023 58,034
F 69.9 61.1 86.3 86.4 55,000 53,897
G 73.6 59.6 87.1 87.6 49,145 47,148
H 70.5 60.3 87.0 87.6 51,897 50,659
I 66.3 55.2 81.7 84.1 51,238 45,289
J 74.5 67.1 89.1 91.6 60,746 56,489
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14 A survey is conducted to determine whether would prefer to work at home, if given the 20 office employees of a certain company chance. The overall results are shown in the first bar graph, and the results broken down by gender are presented in the second. a. Interpret the results of each graph. b. Discuss the added value in including gen- der in the second bar graph. (The second bar graph in this problem is called a side by side bar graph and is often used to show results broken down by two or more variables.) c. Compare the side by side bar graph with the two pie charts that you made for Question 6. Which of the two methods is best for comparing two groups, in your opinion? A Would you prefer to work at home? (n=20) 60 50 40 Percent 20 30 20 30 10 0 No Yes Prefer to work at home? (10 males, 10 females) 80 Percent 60 00 40 40 20- No Yes No Yes Female Male
Frequency 12 Suppose that a random sample of 270 gradu- ating seniors are asked what their immediate priorities are, including whether buying a house is a priority. The results are shown in the following bar graph. a. The bar graph is misleading; explain why. b. Make a new bar graph that more fairly presents the results. Is Buying a House a Priority? 300 250 200 150 100 50 0 Yes No Undecided
Frequency 11 A polling organization wants to find out what voters think of Issue X. It chooses a random sample of voters and asks them for their opinions of Issue X: yes, no, or no opinion. I organize the results in the following bar graph. a. Make a frequency table of these results (including the total number). brocb. Evaluate the bar graph as to whether it biz s b fairly represents the results. of beau no STORE TO OW! vd wob spind 550 540 500 vd 480 420 360 300 250 240 Yes No Undecided Opinion on Issue X
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