more windy than others? Does Chicago deserve to be nicknamed "The Windy City"? Suppose these data are the average wind speeds (in miles per hour) for 54 selected cities in the United States. 11.5 10.4 7.5 35.1 8.0 6.9 7.4 11.6 9.4 8.4 10.4 9.0 8.3 7.8 7.4 9.5 10.0 9.3 8.5 7.3 10.0 7.9 10.5 4.4 9.9 10.3 8.4 8.4 9.8 6.9 7.9 9.9 6.2 7.7 6.2 9.2 7.5 7.7 7.4 7.0 9.4 8.2 6.5 6.9 9.2 10.1 6.5 6.1 9.8 10.2 11.3 9.6 7.8 8.1 (a) Construct a relative frequency histogram for the data. (HINT: Choose the class boundaries without includng the value x= 35.1 in the range of values.) Relative Relative Relative Relative Frequency 0.30 Frequency 0.30 Frequency 0.30) Frequency 0.30 0.25 0.25 0.20 0.25 0.25 0.20 0.20 0.15 0.15 0.20 0.15 0.10 0.15 0.10 0.05 0.10 0.10 0.05 0.05 Speed 8 12 16 20 24 28 32 36 (mph) 0.00 0.05 Speed 0.00 812 16 2o 24 28 32 36 (mph) oO Speed 12 16 20 24 28 32 36 (mph) 0.00 Speed 0.00 E 12 16 2o 24 28 32 36 (mphi o (b) The value x= 35.1 was recorded at Mt. Washington, New Hampshire. Does the geography of that city explain the observation? O Yes, since Mt. Washington is a very mountainous area, it is not unusual that the average wind speed would be very high. O No, since Mt. Washington is a very mountainous area, we would expect the average wind speed to be very low. (2) The average wind speed in Chicago is recorded as 9.9 miles per hour. Do you consider this unusually windy? O Ves, the value x9.9 lies far from the center of the distribution, so it is considered unusually high, O No, the value x= 9.9 does not lie far from the center of the distribution, excluding x 35.1. so it is not considered unusually high.

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This question has part a, b, and c.

Are some cities more windy than others? Does Chicago deserve to be nicknamed "The Windy City? Suppose these data are the average wind speeds (in miles per hour) for 54 selected cities in the United States.
11.5
10.4
7.5
7.4
11.6
9.4
35.1
8.0
6.9
8.4
10.4
9.0
8.3
9.5
7.8
7.4
10.0
9.3
8.5
7.3
10.0
7.9
9.9
10.5
4.4
10.3
8.4
8.4
9.8
6.9
7.9
9.9
6.2
7.7
6.2
9.2
6.5
7.5
7.7
7.4
7.0
9.4
8.2
6.9
9.2
10.1
6.5
6.1
11.3
9.6
9.8
10.2
7.8
3.1
(a) Construct a relative frequency histogram for the data. (HINT: Choose the class boundaries without including the value x = 35.1 in the range of values.)
Relative
Relative
Relative
Relative
Frequency
0.30-
Frequency
Frequency
Frequency
0.30
0.30
0.30
0.25
0.25
0.20
0.25
0.25
0.20
0.15
0.20
0.20
0.15
0.10
0.15
0.15
0.10
0.10
0.03
0.10
0.05
Speed
0.05
0.05
0.00
000
Speed
Speed
Speed
12 16 20 24 28 32 36 (mph)
12 16 20 24
28
32
36 (mph)
12 16 20 24 28
32 36 (mph)
0.00
0.00
12
16 20 24 28 32
36 (mph)
(b) The value x = 35.1 was recorded at Mt. Washington, New Hampshire. Does the geography of that city explain the observation?
O Yes, since Mt. Washington is a very mountainous area, it is not unusual that the average wind speed wvould be very high.
O No, since Mt. Washington is a very mountainous area, we would expect the average wind speed to be very low.
O The average wind speed in Chicago is recorded as 9.9 miles per hour. Do you consider this unusually windy?
O Yes, the value x = 9.9 lies far from the center of the distribution, so it is considered unusually high.
O No, the value x = 9.9 does not lie far from the center of the distribution, excluding x = 35.1, so it is not considered unusually high.
8.
三|
Transcribed Image Text:Are some cities more windy than others? Does Chicago deserve to be nicknamed "The Windy City? Suppose these data are the average wind speeds (in miles per hour) for 54 selected cities in the United States. 11.5 10.4 7.5 7.4 11.6 9.4 35.1 8.0 6.9 8.4 10.4 9.0 8.3 9.5 7.8 7.4 10.0 9.3 8.5 7.3 10.0 7.9 9.9 10.5 4.4 10.3 8.4 8.4 9.8 6.9 7.9 9.9 6.2 7.7 6.2 9.2 6.5 7.5 7.7 7.4 7.0 9.4 8.2 6.9 9.2 10.1 6.5 6.1 11.3 9.6 9.8 10.2 7.8 3.1 (a) Construct a relative frequency histogram for the data. (HINT: Choose the class boundaries without including the value x = 35.1 in the range of values.) Relative Relative Relative Relative Frequency 0.30- Frequency Frequency Frequency 0.30 0.30 0.30 0.25 0.25 0.20 0.25 0.25 0.20 0.15 0.20 0.20 0.15 0.10 0.15 0.15 0.10 0.10 0.03 0.10 0.05 Speed 0.05 0.05 0.00 000 Speed Speed Speed 12 16 20 24 28 32 36 (mph) 12 16 20 24 28 32 36 (mph) 12 16 20 24 28 32 36 (mph) 0.00 0.00 12 16 20 24 28 32 36 (mph) (b) The value x = 35.1 was recorded at Mt. Washington, New Hampshire. Does the geography of that city explain the observation? O Yes, since Mt. Washington is a very mountainous area, it is not unusual that the average wind speed wvould be very high. O No, since Mt. Washington is a very mountainous area, we would expect the average wind speed to be very low. O The average wind speed in Chicago is recorded as 9.9 miles per hour. Do you consider this unusually windy? O Yes, the value x = 9.9 lies far from the center of the distribution, so it is considered unusually high. O No, the value x = 9.9 does not lie far from the center of the distribution, excluding x = 35.1, so it is not considered unusually high. 8. 三|
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