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Mitt Romney
Solution
The sample statistic is the sample mean, x' = 52
The standard error of the mean is s/n
where s is the standard deviation of individual data values = 6 hours.
The multiplier, denoted by t*, is found using the t-table in the book. It's a simple table. There
are columns for .90, .95,.98, and .99 confidence.
t* for 90% confidence = 1.645
Thus the formula for a confidence interval for the mean is
x' ± t* (s/n)
= 52 ± 1.645 (6/36) = 52 ±1.645
= [50.355, 53.645]
Thus to include 90% of values the range should be as above

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Mitt RomneySolutionThe sample statistic is the sample mean, x.pdf

  • 1. Mitt Romney Solution The sample statistic is the sample mean, x' = 52 The standard error of the mean is s/n where s is the standard deviation of individual data values = 6 hours. The multiplier, denoted by t*, is found using the t-table in the book. It's a simple table. There are columns for .90, .95,.98, and .99 confidence. t* for 90% confidence = 1.645 Thus the formula for a confidence interval for the mean is x' ± t* (s/n) = 52 ± 1.645 (6/36) = 52 ±1.645 = [50.355, 53.645] Thus to include 90% of values the range should be as above