An operator wants to determine the standard deviation for a machine she operates. To do this, she wants to create a p-chart. Over a month's time, she collects 30 samples of 75 observations each and records the number of errors. The average proportion defective is found to be 0.024. Which of the following is the standard deviation () of the machine? a. Less than or equal to 0.1b. More than 0.1 but less than or equal to 0.5c. More than 0.5 but less than or equal to 1.0d. More than 1.0

Question

Buddie

Business

1 February, 20:44

An operator wants to determine the standard deviation for a machine she operates. To do this, she wants to create a p-chart. Over a month's time, she collects 30 samples of 75 observations each and records the number of errors. The average proportion defective is found to be 0.024. Which of the following is the standard deviation () of the machine? a. Less than or equal to 0.1b. More than 0.1 but less than or equal to 0.5c. More than 0.5 but less than or equal to 1.0d. More than 1.0

+5

Answers (1)

Know the Answer?

Melvin Beard · Answer 1

The answer is letter A.

Explanation:

Less than or equal to 0.1

Because:

Average proportion (P-bar) = 0.024

Observations (n) = 75

sd = √ (P-bar) (1 - (P-bar) / n

sd = √ (0.024) (1-0.024) / 75

sd = √ (0.024) (0.976) / 75

sd = √ (0.023424) / 75

sd = 0.01767

sd ≤ 0.1