Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 1 2 3 1 1 3 2 0533132470 23 2 0 4 2 1 3 1 1 3 50 2 3 2 106 USE SALT 4 1 2 3 2 2 8 4 5 1 3 1 42 160 3 3 3 6 1 2 2 (a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Round your relative frequencies to four decimal places.) x Nonconforming Frequency 0 1 2 3 4 5 6 7 8 Relative Frequency (b) What proportion of batches in the sample have at most six nonconforming transducers? (Round your answer to four decimal places.) What proportion have fewer than six? (Round your answer to four decimal places.) What proportion have at least six nonconforming units? (Round your answer to four decimal places.) (c) Draw a histogram of the data using relative frequency on the vertical scale. Percent 20 15 10 5 Percent 15 10 5 Number Number 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Percent 15 10 5 Percent 14 12 10 8 6 4 2 Number 0 1 2 34 56 7 8 Comment on its features. (Select all that apply.) The center of the histogram is around 2 or 3. The distribution is fairly symmetric. The center of the histogram is around 7. The center of the histogram is around 1. There is some negative skewness in the data. There is some positive skewness in the data. Number 0 1 2 3 4 5 6 7 8

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Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:
1 2 3 1 1 3 2 0533132470 23
2
0 4 2 1 3 1 1 3
50 2 3 2 106
USE SALT
4 1 2 3 2 2 8 4 5 1 3 1
42 160 3 3 3 6 1 2 2
(a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Round your relative frequencies to four decimal places.)
x
Nonconforming
Frequency
0
1
2
3
4
5
6
7
8
Relative
Frequency
(b) What proportion of batches in the sample have at most six nonconforming transducers? (Round your answer to four decimal places.)
What proportion have fewer than six? (Round your answer to four decimal places.)
What proportion have at least six nonconforming units? (Round your answer to four decimal places.)
(c) Draw a histogram of the data using relative frequency on the vertical scale.
Percent
20
15
10
5
Percent
15
10
5
Number
Number
0
1
2
3
4 5 6 7 8
0 1
2
3
4 5 6 7 8
Percent
15
10
5
Percent
14
12
10
8
6
4
2
Number
0
1 2
34 56 7 8
Comment on its features. (Select all that apply.)
The center of the histogram is around 2 or 3.
The distribution is fairly symmetric.
The center of the histogram is around 7.
The center of the histogram is around 1.
There is some negative skewness in the data.
There is some positive skewness in the data.
Number
0 1
2
3
4 5 6 7 8
Transcribed Image Text:Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 1 2 3 1 1 3 2 0533132470 23 2 0 4 2 1 3 1 1 3 50 2 3 2 106 USE SALT 4 1 2 3 2 2 8 4 5 1 3 1 42 160 3 3 3 6 1 2 2 (a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Round your relative frequencies to four decimal places.) x Nonconforming Frequency 0 1 2 3 4 5 6 7 8 Relative Frequency (b) What proportion of batches in the sample have at most six nonconforming transducers? (Round your answer to four decimal places.) What proportion have fewer than six? (Round your answer to four decimal places.) What proportion have at least six nonconforming units? (Round your answer to four decimal places.) (c) Draw a histogram of the data using relative frequency on the vertical scale. Percent 20 15 10 5 Percent 15 10 5 Number Number 0 1 2 3 4 5 6 7 8 0 1 2 3 4 5 6 7 8 Percent 15 10 5 Percent 14 12 10 8 6 4 2 Number 0 1 2 34 56 7 8 Comment on its features. (Select all that apply.) The center of the histogram is around 2 or 3. The distribution is fairly symmetric. The center of the histogram is around 7. The center of the histogram is around 1. There is some negative skewness in the data. There is some positive skewness in the data. Number 0 1 2 3 4 5 6 7 8
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