Temperature transducers of a certain type are shipped in

Chapter 1, Problem 17E

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QUESTION:

Problem 17E

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:

a. Determine frequencies and relative frequencies for the observed values of of x = nonconforming transducers in a batch.

b. What proportion of batches in the sample have at most five nonconforming transducers? What proportion have fewer than five? What proportion have at least five nonconforming units?

c. Draw a histogram of the data using relative frequency on the vertical scale, and comment on its features.

Questions & Answers

QUESTION:

Problem 17E

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:

a. Determine frequencies and relative frequencies for the observed values of of x = nonconforming transducers in a batch.

b. What proportion of batches in the sample have at most five nonconforming transducers? What proportion have fewer than five? What proportion have at least five nonconforming units?

c. Draw a histogram of the data using relative frequency on the vertical scale, and comment on its features.

ANSWER:

Answer

Step 1 of 3

(a)

We are asked to determine frequencies and relative frequencies for the observed value of

Number nonconforming

Frequency

Relative frequency (Freq/60)

0

7

0.117

1

12

0.2

2

13

0.217

3

14

0.233

4

6

0.1

5

3

0.05

6

3

0.05

7

1

0.017

8

1

0.017


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