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(1 point) How many rounds of golf do those physicians who play golf play per year? A survey of 12 physicians revealed the following numbers: 7, 41, 16, 3, 32, 41, 19, 15, 18, 33, 14, 50 Estimate with 97% confidence the mean number of rounds played per year physicians, assuming that the population is normally distributed with a standard deviation of 6. Note: For each confidence interval, enter your answer in the form (LCL, UCL). You must include the parentheses and the comma between the confidence limits. Confidence Interval =

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Answer 1

Mean = 24.08333

Confidence Interval :-
X̅ ± Z( α /2) σ / √ ( n )
Z(α/2) = Z (0.03 /2) = 2.170
24.0833 ± Z (0.03/2 ) * 6/√(12)
Lower Limit = 24.0833 - Z(0.03/2) 6/√(12)
Lower Limit = 20.3248
Upper Limit = 24.0833 + Z(0.03/2) 6/√(12)
Upper Limit = 27.8419
97% Confidence interval is ( 20.3248 , 27.8419 )