Question 833265: Suppose a random sample of 100 students was chosen, and each student was asked how many hours he or she spends on Facebook each week. The resulting 95% confidence interval for μ was (3.8, 7.2). Determine if each of the following statements is true or false.
(a) 95% of all students spend between 3.8 and 7.2 hours per week
(b) 95% of samples will have averages between 3.8 and 7.2
(c) The formula produces intervals that capture the sample mean for 95% of all samples
(d) The formula produces intervals that capture the population mean for 95% of all samples
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose a random sample of 100 students was chosen, and each student was asked how many hours he or she spends on Facebook each week. The resulting 95% confidence interval for μ was (3.8, 7.2). Determine if each of the following statements is true or false.
(a) 95% of all students spend between 3.8 and 7.2 hours per week:: false
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(b) 95% of samples will have averages between 3.8 and 7.2:: false
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(c) The formula produces intervals that capture the sample mean for 95% of all samples:: false
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(d) The formula produces intervals that capture the population mean for 95% of all samples:: true
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Cheers,
Stan H.
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