“Fitness for use” of gasoline filters. Product or service

Chapter 10, Problem 54SE

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QUESTION:

“Fitness for use” of gasoline filters. Product or service quality is often defined as fitness for use. This means the product or service meets the customer’s needs. Generally speaking, fitness for use is based on five quality characteristics: technological (e.g., strength, hardness), psychological (taste, beauty), time-oriented (reliability), contractual (guarantee provisions), and ethical (courtesy, honesty). The quality of a service may involve all these characteristics, while the quality of a manufactured product generally depends on technological and time-oriented characteristics (Schroeder, Operations Management, 2008). After a barrage of customer complaints about poor quality, a manufacturer of gasoline filters for cars had its quality inspectors sample 600 filters—200 per work shift—and check for defects. The data in the table resulted.

a. Do the data indicate that the quality of the filters being produced may be related to the shift producing the filter? Test using \(\alpha\ =\ .05.\)

b. Estimate the proportion of defective filters produced by the first shift. Use a 95% confidence interval.

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QUESTION:

“Fitness for use” of gasoline filters. Product or service quality is often defined as fitness for use. This means the product or service meets the customer’s needs. Generally speaking, fitness for use is based on five quality characteristics: technological (e.g., strength, hardness), psychological (taste, beauty), time-oriented (reliability), contractual (guarantee provisions), and ethical (courtesy, honesty). The quality of a service may involve all these characteristics, while the quality of a manufactured product generally depends on technological and time-oriented characteristics (Schroeder, Operations Management, 2008). After a barrage of customer complaints about poor quality, a manufacturer of gasoline filters for cars had its quality inspectors sample 600 filters—200 per work shift—and check for defects. The data in the table resulted.

a. Do the data indicate that the quality of the filters being produced may be related to the shift producing the filter? Test using \(\alpha\ =\ .05.\)

b. Estimate the proportion of defective filters produced by the first shift. Use a 95% confidence interval.

ANSWER:

Step 1 of 4

The given data is regarding the number of defects in the manufacturing products of gasoline filters for cars. The data is as follows:

Shift

First

Second

Third

Defectives

25

35

80

a)

Here the claim is that the quality of the filters being produced may be related to the shift producing the filter.

Under the claim the null alternative hypotheses are

  The defective items are same for the three shifts.

   The defective items are differ from shift to shift.

Given level of significance

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