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 1 2 4 0 1 3 2 05 3 3 1 3 2 4 70 2 3 0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 4 1 3 5 0 2 3 2 10 6 4 2 1 6 0 3 3 3 7 1 2 3 A USE SALT (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.) Nonconforming Frequency Relative Frequency 0.116 1 13 0.216 12 0.200 14 0.233 4 0.116 5 2 0.033 6. 2 0.033 7 2 0.033 8 1 0.016 (b) What proportion of batches in the sample have at most four nonconforming transducers? (Round your answer to four decimal places.) 0.833 What proportion have fewer than four? (Round your answer to four decimal places.) 0.767 What proportion have at least four nonconforming units? (Round your answer to four decimal places.) 0.117
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 1 2 4 0 1 3 2 05 3 3 1 3 2 4 70 2 3 0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 4 1 3 5 0 2 3 2 10 6 4 2 1 6 0 3 3 3 7 1 2 3 A USE SALT (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.) Nonconforming Frequency Relative Frequency 0.116 1 13 0.216 12 0.200 14 0.233 4 0.116 5 2 0.033 6. 2 0.033 7 2 0.033 8 1 0.016 (b) What proportion of batches in the sample have at most four nonconforming transducers? (Round your answer to four decimal places.) 0.833 What proportion have fewer than four? (Round your answer to four decimal places.) 0.767 What proportion have at least four nonconforming units? (Round your answer to four decimal places.) 0.117
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Problem 1P
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Hi, I need help with this homework question. Is the value calculated correctly so far ?
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
1
2
4
1
3
2
3
1
3
2
4
7
2
4
2
1
1
4
1
2
3
2
8
4
4
1
3
1
2
4
1
6.
3
3
7
1
2
3
In USE SALT
(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.)
Nonconforming
Frequency
Relative
Frequency
0.116
1
13
0.216
12
0.200
3
14
0.233
4
7
0.116
2
0.033
2
0.033
7
2
0.033
8
1
0.016
(b) What proportion of batches in the sample have at most four nonconforming transducers? (Round your answer to four decimal places.)
0.833
What proportion have fewer than four? (Round your answer to four decimal places.)
0.767
What proportion have at least four nonconforming units? (Round your answer to four decimal places.)
0.117
O m N
Transcribed Image Text:(c) Draw a histogram of the data using relative frequency on the vertical scale.
Percent
Percent
15
15
10
10
5
5
Number
Number
0 1 2 3 4 5 6 7 8
0 1 2 3 4 5 6 7 8
Percent
Percent
14
15
12
10
10
5
4
2
Number
8
Number
0 1
2
3 4 5 6 7
0 1 2
3 4
5 6 7 8
Comment on its features. (Select all that apply.)
O There is some positive skewness in the data.
O The center of the histogram is around 2 or 3.
O There is some negative skewness in the data.
O The center of the histogram is around 1.
O The distribution is fairly symmetric.
O The center of the histogram is around 7.
20
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