(1) 50 members of a large population were sampled and the standard deviation of
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Question
(1) 50 members of a large population were sampled and the standard deviation of the sample was found to be s = 5.0. Therefore, we should expect the value of the Population Standard Deviation to be:
a) exactly 5.0
b) exactly 0.714
c) very close to 5.0
d) very close to 0.714
(2) Which of these Confidence Intervals would be the widest?
a) 99% confidence, = 5, n = 30
b) 99% confidence, = 5, n = 100
c) 95% confidence, = 5, n = 30
d) 95% confidence, = 5, n = 100
(3) Which is a correct interpretation of a 95% confidence interval?
a) 95% of the observations in the population are in the given interval.
b) The probability that the population parameter is in a given interval is 0.95.
c) 95% of the observations in the sample fall in the given interval.
d) In repeated sampling, 95% of the intervals we construct would be expected to contain the population parameter.
Explanation / Answer
Solution 1) answer is c because sample standard deviation is an estimate of popuation standard deviation.
Solution 2) answer is a as the 99% confidence interval is wider than that of 95% and less the size of sample more the length of the interval as the interval would be less precise.
Solution 3) answer is b because it is the probability that the population parameter lies in a given interval is 0.95.
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