the number of wins in a season for 32 randomly selectedprofessional football tea
ID: 2917776 • Letter: T
Question
the number of wins in a season for 32 randomly selectedprofessional football teams are listed below. Construct a 90%confidence interval for the true mean number of wins in aseason 9 9 9 8 10 9 7 2 11 10 6 4 11 9 8 8 12 10 7 5 12 6 4 3 12 9 9 7 10 7 7 5the number of wins in a season for 32 randomly selectedprofessional football teams are listed below. Construct a 90%confidence interval for the true mean number of wins in aseason 9 9 9 8 10 9 7 2 11 10 6 4 11 9 8 8 12 10 7 5 12 6 4 3 12 9 9 7 10 7 7 5
Explanation / Answer
sample size, n = 32 sample mean, x=7.97 standard deviation, s = 2.62 standard error, e = s/n = 2.62/32 =0.46 for 90% confidence, z = 1.65 (from ztable) hence , confidence interval, CI = x ± ze = 7.97 ± (1.65*0.46) = (7.211, 8.729)
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