Answer the following statement(s) true (T) or false (F)
A large box contains 10,000 ball bearings. A random sample of 120 is chosen. The sample mean diameter is 10 mm, and the standard deviation is 0.24 mm.
a. A 95% confidence interval for the mean diameter of the 120 bearings in the sample is 
b. A 95% confidence interval for the mean diameter of the 10,000 bearings in the box is
c. 95% of the ball bearings had diameters in the interval
d. A 95% confidence interval for the mean diameter of the 10,000 bearings in the box is
(a) False. The confidence interval is for the population mean, not the sample mean. The sample mean is known, so
there is no need to construct a confidence interval for it.
(b) True. This results from the expression 
, which is a 95% confidence interval for the population mean.
(c) False. A confidence interval says something about where the true value is likely to be. It does not say anything about the proportion of the sample that is in the interval.
(d) False. The standard deviation of the mean involves the square root of the sample size, not of the population size.
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