Question

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 3 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0
4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1 5 0
2 3 2 1 0 6 4 2 1 6 0 3 3 3 7 1 2 2

Required:
a. Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch.
b. What proportion of batches in the sample have at most four nonconforming transducers?

Answer 1

Kindly check explanation

Explanation:

Given the following data:

X: 1 1 2 3 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0

4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1 5 0

2 3 2 1 0 6 4 2 1 6 0 3 3 3 7 1 2 2

Value __frequency (F)__Relative frequency

0________ 7 ___________ 7/60 = 0.1167

1 ________ 13 __________ 13/60 = 0.2167

2 _______ 13 ___________ 13/60 = 0.2167

3 _______ 14 ___________ 14/60 = 0.2333

4 _______ 5 ____________ 5/60 = 0.0833

5 _______ 3 ____________ 3/60 = 0.0500

6 _______ 2 ____________ 2/60 = 0.0333

7 _______ 2 ____________ 2/60 = 0.0333

8 _______ 1 _____________ 1/60 = 0.0167

B.) b. What proportion of batches in the sample have at most four nonconforming transducers?

X = 0 + x = 1 + x = 2 + x = 3

0.1167 + 0.2167 + 0.2167 + 0.2333

= 0.7834