Problem 11: A 95% confidence interval for the population mean GPA of students who passed STAT 361 is given by (3.419, 3.981). (a) If we increase the confidence level to 98% while keeping everything else same, what happens to the new confidence interval? Explain. (b) Which confidence interval is more precise? 95% or 99%? Explain. (c) If we use the same 95% confidence level, how do you get a more precise confidence inkerval? Explain.

MATLAB: An Introduction with Applications
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Problem 11: A 95% confidence interval for the population mean GPA of students who passed
STAT 361 is given by (3.419, 3.981).
(a)
If we increase the confidence level to 98% while keeping everything else same,
what happens to the new confidence interval? Explain.
(b)
Which confidence interval is more precise? 95% or 99%? Explain.
(c)
If we use the same 95% confidence level, how do you get a more precise
confidence inkerval? Explain.
Transcribed Image Text:Problem 11: A 95% confidence interval for the population mean GPA of students who passed STAT 361 is given by (3.419, 3.981). (a) If we increase the confidence level to 98% while keeping everything else same, what happens to the new confidence interval? Explain. (b) Which confidence interval is more precise? 95% or 99%? Explain. (c) If we use the same 95% confidence level, how do you get a more precise confidence inkerval? Explain.
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