Q100 · Practice questionComplex familiar6 marks
QUESTION 100 (6 marks)
A sample of size 64 has and .
a)[3 marks]
Using , determine an approximate 95% confidence interval for the population mean.
b)[3 marks]
Assuming for planning purposes, determine the smallest sample size required for a margin of error no greater than 0.8 at the same confidence level.
WORKED SOLUTION
6 marksPractice marking scheme
ANSWER
(a) ; (b) .
Worked solution
(a) The margin of error is The interval is .
(b) Require . Squaring and rearranging gives The smallest integer sample size is 163.
Calculates the margin of error.
Determines the confidence interval.
Forms and solves the sample-size inequality.
Rounds up to 163.
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