Statistical Inferences Answers
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You are told that in a sample of size 225 the mean is 48.5 and the standard deviation is 1.8. The study is reported with 90% confidence level. Explain how to determine if 48.8 is within the confidence interval.
Answer:
To determine whether 48.8 is within the confidence interval, calculate the margin of error using ME = z* × s / √n. With z* = 1.645, s = 1.8, and n = 225, the margin of error is approximately 0.20. The confidence interval is 48.3 to 48.7, so 48.8 is not within the interval.
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Which of the following did you include in your explanation?
A
To find the margin of error, multiply the z-score by the standard deviation, then divide by the square root of the sample size.B
The z*-score for a 90% confidence level is 1.645.C
The margin of error is 0.20.D
The confidence interval is 48.3 to 48.7.E
48.8 is not within the confidence interval.Did you find these answers helpful?
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