Under which of the following circumstances is impossible to construct a confidence interval for the population mean? OA. A normal population with a small sample and an unknown population variance. B. A non-normal population with a small sample and an unknown population variance. OC. A non-normal population with a large sample and an unknown population variance. D. A normal population with a large sample and a known population variance.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Under which of the following circumstances is it
impossible to construct a confidence interval for the
population mean?
A. A normal population with a small sample and an
unknown population variance.
B. A non-normal population with a small sample and
an unknown population variance.
C. A non-normal population with a large sample and
an unknown population variance.
D. A normal population with a large sample and a
known population variance.
The use of the standard normal distribution for
constructing a confidence interval estimate for the
population proportion p requires:
A. np and n(1 − p) are both greater than 5
B. nô and n(1 − p) are both greater than 5, where
p denotes the sample proportion
c. n(p + p) and n(p − p) are both greater than 5
D. that the sample size is greater than 30
Transcribed Image Text:Under which of the following circumstances is it impossible to construct a confidence interval for the population mean? A. A normal population with a small sample and an unknown population variance. B. A non-normal population with a small sample and an unknown population variance. C. A non-normal population with a large sample and an unknown population variance. D. A normal population with a large sample and a known population variance. The use of the standard normal distribution for constructing a confidence interval estimate for the population proportion p requires: A. np and n(1 − p) are both greater than 5 B. nô and n(1 − p) are both greater than 5, where p denotes the sample proportion c. n(p + p) and n(p − p) are both greater than 5 D. that the sample size is greater than 30
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