Q95 · Practice questionTechnology-activeComplex unfamiliar5 marks
QUESTION 95 (5 marks)
A sample has and . A symmetric confidence interval is constructed with margin of error . Determine the corresponding confidence level, to the nearest percent.
WORKED SOLUTION
5 marksPractice marking scheme
ANSWER
Approximately .
Worked solution
The standard error is . Thus the critical value is . The corresponding two-sided confidence level is , which rounds to .
Determines the standard error.
Uses margin = critical value × standard error.
Obtains .
Converts the critical value to a two-sided confidence level.
States approximately .
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