Question

# 1) The area that is less than 4 (<4) and the area that is greater than...

1) The area that is less than 4 (<4) and the area that is greater than or equal to 4 (≥4) would be considered ______.

complements

a continuous distribution

binomial outcomes

z scores

2)

As the z-score decreases, the cumulative area under the curve to the left of that value will _______.

increase

go to 1

decrease

remain the same

3)

As the z-score increases, the cumulative area under the curve to the left of that value will _______.

increase

decrease

go to 0

remain the same

4)

In a control chart, the dotted lines represent values that are exactly _______ from the mean.

as far as the data points

two standard deviations

three standard deviations

one standard deviation

Solution:-

1) The area that is less than 4 (<4) and the area that is greater than or equal to 4 (≥4) would be considered complements.

P(x < 4) + P(x > 4) = 1

2)

As the z-score decreases, the cumulative area under the curve to the left of that value will decrease.

3)

As the z-score increases, the cumulative area under the curve to the left of that value will increase.

4)

In a control chart, the dotted lines represent values that are exactly three standard deviations from the mean.

Control limits are split into upper control limits and lower control limits. The upper control limit, or UCL is typically set at three standard deviations, or sigma, above the process mean, and the lower control limit, LCL, would be set three sigma below the mean

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