Question: Since a sample standard deviation is given, the t distribution will be used to construct the specified confidence intervals. Recall the structure of a confidence

Since a sample standard deviation is given, the t distribution will be used to construct the specified confidence intervals. Recall the structure of a confidence interval given below where x is the sample mean, t/2 is the value of t that corresponds to an upper-tail area of 2 with n 1 degree of freedom, s is the sample standard deviation, and n is the sample size. x t/2 s n

The value of alpha is found by setting the confidence level equal to (1 ) and solving for .

To solve for , first convert 90% to a probability, also representative of an area, so that the t table may be used. probability = percentage 100% = % 100% =

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