ASQ Exam CQE Topic 7 Question 83 Discussion

Actual exam question for ASQ's CQE exam

Question #: 83
Topic #: 7

[All CQE Questions]

If a sample size of 16 yields an average of 12 and standard deviation of 3, estimate the 95% confidence interval for the population (assume a normal distribution).

AOption A

BOption B

COption C

DOption D

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Suggested Answer: A

by Celeste at Mar 17, 2024, 06:00 AM

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Marge

1 years ago

After calculating, we get the confidence interval as [10.35, 13.65].

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Lino

1 years ago

To estimate the 95% confidence interval, we use Z = 1.96 for 95% confidence level.

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Lauran

1 years ago

Since the sample size is 16 and standard deviation is 3, we can calculate the standard error.

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Wynell

1 years ago

The formula for confidence interval is sample mean ± (Z * standard error).

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Janessa

1 years ago

I agree, let's use the formula for estimating the confidence interval.

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Britt

1 years ago

I think we need to calculate the confidence interval for this question.

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Mitsue

1 years ago

Therefore, the 95% confidence interval is 12 ± 1.5975, giving us a range of 10.4025 to 13.5975.

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Leila

1 years ago

And the margin of error would be 2.13 * 3 / sqrt(16), which is 1.5975.

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Francoise

1 years ago

So, for a 95% confidence interval, the critical value is 2.13.

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Stephen

1 years ago

I agree. The margin of error is equal to the critical value times the standard deviation divided by the square root of the sample size.

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Francoise

1 years ago

I think we need to calculate the margin of error first.

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