Constructing a confidence interval

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1. When the distribution is used in constructing a confidence interval based on a sample size of less than 30, what assumption must be made about the shape of the underlying population?

2. Why are the values listed in the df 5 infinity row of the distribution table identical to the values that correspond to the same right-tail areas of the standard normal distribution? What does this indicate about the relationship between the and standard normal distributions?

3. In using the distribution table, what value of would correspond to an upper-tail area of 0.025 for 19 degrees of freedom?

4. In using the distribution table, what value of would correspond to an upper-tail area of 0.10    for 28 degrees of freedom?

5. For df 5 25, determine the value of that corre- sponds to each of the following probabilities:

a. P(A) 5 0.025

b. P(A) 5 0.10

c. P(2A) 5 0.99

Reference no: EM13977669

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