The correct statement for the calculation of the confidence interval that (a) z can be used only for the large sample, (b) z requires that you know the population standard deviation
Answer to Problem 75E
The correct option is (b).
Explanation of Solution
From a normal populationz can also be used for small sample. Thus, statement(a) is incorrect.
To calculate the confidence interval z requires to know the population standard deviation. Thus,statement (b) is correct.
Instead of a simple random sample only a random sample is sufficient to calculate the confidence interval, thus, statement (c) is incorrect.
The critical value still can be determining from the standard normal table if it the table does not include confidence. Thus, option (d) is incorrect.
A z critical value does not dependent on the width of the interval. Thus, option (e) is incorrect.
Hence, the correct option is(b).
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