Question
In: Statistics and Probability
Exercise 8-19 Algo Consider a normal population with an unknown population standard deviation. A random sample...
Exercise 8-19 Algo
Consider a normal population with an unknown population standard
deviation. A random sample results in x−x− = 43.92 and
s2 = 17.64. [You may find it useful to
reference the t table.]
a. Compute the 95% confidence interval for
μ if x−x− and s2 were obtained from a
sample of 26 observations. (Round intermediate calculations
to at least 4 decimal places. Round "t" value to 3 decimal
places and final answers to 2 decimal places.)
CONFIDENCE INTERVAL ______ TO _______
b. Compute the 95% confidence interval for μ if x−x− and s2 were obtained from a sample of 29 observations. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.)
CONFIDENCE INTERVAL _______ TO _________
c. Use your answers to discuss the impact of the
sample size on the width of the interval.
-
The bigger sample size will lead to a larger interval width and therefore a more precise interval.
-
The bigger sample size will lead to a smaller interval width and therefore a more precise interval.
Solutions
orchestra answered 2 years agoRelated Solutions
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