Question

In a study of how chief executive officers (CEOs) spend their days, it was found that CEOs spend an average of about 18 hours per week in meetings, not including conference calls, business meals, and public events. Shown here are the times spent per week in meetings (hours) for a sample of 25 CEOs. 14 15 18 23 16 19 21 13 16 23 23 21 16 21 21 17 16 18 18 19 19 22 24 21 11 (a) What is the least amount of time (in hours) a CEO spent per week in meetings in this sample? 11 h What is the highest amount of time (in hours) a CEO spent per week in meetings in this sample? 24 h (b) Use a bin width of 2 hours to prepare a frequency distribution and a percent frequency distribution for the data. Hours in Meetings per Week Frequency Percent Frequency (%) 11-12 4 17.39 13-14 4 17.39 15-16 3 13.04 17-18 3 13.04 19-20 3 13.04 21-22 3 13.04 23-24 3 13.04 Total 25 100 (c) Prepare a histogram. Frequency Frequency 10 10 8 8 6 6 4 4 2 2 0 0 11-12 13-14 15-16 17-18 19-20 21-22 23-24 Hours per Week in Meetings 11-12 13-14 15-16 17-18 19-20 21-22 23-24 Hours per Week in Meetings Comment on the shape of the distribution.

          In a study of how chief executive officers (CEOs) spend their days, it was found that CEOs spend an average of about 18 hours per week in meetings, not including conference calls,
business meals, and public events. Shown here are the times spent per week in meetings (hours) for a sample of 25 CEOs.
14
15 18 23 16
19 21 13 16 23
23 21 16 21 21
17 16 18 18 19
19 22 24 21 11
(a) What is the least amount of time (in hours) a CEO spent per week in meetings in this sample?
11
h
What is the highest amount of time (in hours) a CEO spent per week in meetings in this sample?
24
h
(b) Use a bin width of 2 hours to prepare a frequency distribution and a percent frequency distribution for the data.
Hours in
Meetings
per Week
Frequency
Percent
Frequency (%)
11-12
4
17.39
13-14
4
17.39
15-16
3
13.04
17-18
3
13.04
19-20
3
13.04
21-22
3
13.04
23-24
3
13.04
Total
25
100
(c) Prepare a histogram.
Frequency
Frequency
10
10
8
8
6
6
4
4
2
2
0
0
11-12 13-14 15-16 17-18 19-20 21-22 23-24
Hours per Week in Meetings
11-12 13-14 15-16 17-18 19-20 21-22 23-24
Hours per Week in Meetings
Comment on the shape of the distribution.

Show more…

In a study of how chief executive officers (CEOs) spend their days, it was found that CEOs spend an average of about 18 hours per week in meetings, not including conference calls,
business meals, and public events. Shown here are the times spent per week in meetings (hours) for a sample of 25 CEOs.
14
15 18 23 16
19 21 13 16 23
23 21 16 21 21
17 16 18 18 19
19 22 24 21 11
(a) What is the least amount of time (in hours) a CEO spent per week in meetings in this sample?
11
h
What is the highest amount of time (in hours) a CEO spent per week in meetings in this sample?
24
h
(b) Use a bin width of 2 hours to prepare a frequency distribution and a percent frequency distribution for the data.
Hours in
Meetings
per Week
Frequency
Percent
Frequency (%)
11-12
4
17.39
13-14
4
17.39
15-16
3
13.04
17-18
3
13.04
19-20
3
13.04
21-22
3
13.04
23-24
3
13.04
Total
25
100
(c) Prepare a histogram.
Frequency
Frequency
10
10
8
8
6
6
4
4
2
2
0
0
11-12 13-14 15-16 17-18 19-20 21-22 23-24
Hours per Week in Meetings
11-12 13-14 15-16 17-18 19-20 21-22 23-24
Hours per Week in Meetings
Comment on the shape of the distribution.

Added by James H.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

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Solved by Expert Lucas Finney

10/17/2022

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Step 1: The least amount of time a CEO spent per week in meetings is **11 hours**. Show more…

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In a study of how chief executive officers (CEOs) spend their days, it was found that CEOs spend an average of about 18 hours per week in meetings, not including conference calls, business meals, and public events. Shown here are the times spent per week in meetings (hours) for a sample of 25 CEOs. 14 15 18 23 16 19 21 13 16 23 23 21 16 21 21 17 16 18 18 19 19 22 24 21 11 (a) What is the least amount of time (in hours) a CEO spent per week in meetings in this sample? 11 h What is the highest amount of time (in hours) a CEO spent per week in meetings in this sample? 24 h (b) Use a bin width of 2 hours to prepare a frequency distribution and a percent frequency distribution for the data. Hours in Mastings per Wenk Frequency Parcant Frequancy (%) 11-12 4 X 17.39 x 13-14 4 X 17.39 x 15-16 3 13.04 x 17-18 3 X 13.04 X 19-20 3 13.04 x 21-22 3 13.04 x 23-24 3 X 13.04 X Total 23 Xx 100 (c) Prepare a histogram. Frequency Frequency 08 6 11-12 13-14 15-16 17-18 19-20 21-22 23-24 Hours per Week in Meetings 11-12 13-14 15-16 17-18 19-20 21-22 23-24 Hours per Week in Meetings Comment on the shape of the distribution. 00 Ο X Frequency Frequency 10 10 11-12 13-14 15-16 17-18 19-20 21-22 23-24 Hours per Week in Meetings ① 11-12 13-14 15-16 17-18 19-20 21-22 23-24 Hours per Week in Meetings ①

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Transcript

00:01 So for part a here, we're asked to find the minimum value of the dataset up above.

00:07 So looking at over, it seems like 12 is the minimum.

00:10 So i'm just highlighting that and then scanning through and checking, are there any less than 12? nope.

00:17 So 12 is the minimum value.

00:19 We're also asked for the maximum value.

00:24 So looking over, can see that 23 seems to be on the higher end.

00:29 So after having pinpointed that, i'll go through.

00:31 Scan again, see if there are any greater than 23.

00:35 No.

00:35 So we have the minimum value is 12 and the maximum value is 23.

00:39 Then for part b, where we're asked to prepare a frequency distribution and a percent frequency distribution, what i'll do is say that we have our class, the frequency, and percent frequency.

00:56 So we can see that it would be reasonable to have the first class be from 12 to 13, then we'd have 14 to 15, 16 to 17, 18 to 19, 20 to 21, and 22 to 20, oops, 2 to 23 is the last one.

01:19 So what i'll do is i'm going to put little tally marks next to each class as i go through the data.

01:26 So we have 14, 15, 18, 23, 15, 15, 15, 15, 19, 20, 13, 15, 23, 23 again, 21, 21, 15, 21, 15, oops, but the italian, the wrong one there, so we have 21, then 16, 15, 18, 18, 19 again, 22, 23, 21, and 12.

02:21 So we can see that our frequencies will be 2, 6, 1, 6, 5, and 5.

02:30 And then to find the percent frequency, we'll first need to add up all of the frequencies.

02:35 Oh, actually, no, we're told explicitly.

02:38 It's a sample of 18.

02:40 So do you find the percent frequency? all we need to do is divide each value by 18.

02:45 So let's see here.

02:46 2 over 18, 6 over 18, 6 over 18, 6 over 18 we already computed, and then 5 over 18 is the only remaining unique value.

03:00 Just to make these numbers manageable, i'll round to two decimal places for each...

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