A student in STAT 151 generates 200 independent random samples of size 100 from a standard normal distribution to make 80% confidence intervals. How many confidence intervals should the student expect to include zero?
In most general terms, for a 80% CI, we say “we are 80% confident that the true population parameter is between the lower and upper calculated values”.
Therefore total number of confidence interval should student expect to include zero is 160
i.e. 200×0.8=160
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A student in STAT 151 generates 200 independent random samples of size 100 from a standard...
Confidence Level Question 1 One hundred random samples, each of size 25, are obtained from the Normal distribution with mean 0 and standard deviation 1 using Minitab. Subsequently, the 1-Sample Z procedure in Minitab is used (with the same confidence level) to obtain a confidence interval from each sample. Out of the 100 intervals thus obtained, 89 include the number 0. Estimate the confidence level (in percentage terms) used to generate the 100 intervals using a 95% confidence interval. a....
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Independent random samples X1, X2, . . . , Xn are from
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, xi > 0, where λ is fixed but unknown. Let
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