Problem 2 Practice with the t distribution. An independent random sample of a no

Question

Problem 2 Practice with the t distribution. An independent random sample of a normally distributed variable is selected. The sample is used to construct a confidence interval of the form where Y is the sample mean, C is the critical value corresponding to the desired level, and s is the sample standard deviation. For each of the following sample sizes and confidence level, find the correct numerical value of C. conndence 1. [1pt] n = 7, confidence level = 80%. 2. [1pt] n = 17, confidence level = 80%. 3. [1pt] n = 25, confidence level = 95%.

Explanation / Answer

1) For df = 6, with confidence Interval = 80%, the Critical value of t is , C = 1.4398

2) For df = 16 , with confidence Interval = 80%, the Critical value of t is , C = 1.3368

3)  For df = 24 , with confidence Interval = 95%, the Critical value of t is , C = 2.0639

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