In a random sample of 64 students at Bud Light University, the mean length of time spent on classes (including attendance) each week was = 17.8 hours. Assume that the standard deviation σ of times spent on classes for all students at B.L.U. is 5.6 hours. a) Construct a 95% confidence interval for the average time spent on classes per week by students at this college, based on the above sample. (10) _________________________________________ b) Based on your confidence interval in a), is it reasonable to conclude that the average weekly time spent on classes by students at Bud Light U. is over 16.5 hours? Explain. (3) c) A second, independent sample of 100 students at Bud Light U. was taken. Based on this sample, a 99% confidence interval for the average weekly time spent on classes by students is from 18.05 hours to 21.93 hours (18.05 < μ < 21.93). Which confidence interval, in your judgment, provides the better estimate of the population mean: the result of a) or this interval? Explain your choice.
In a random sample of 64 students at Bud Light University, the mean length of
time spent on classes (including attendance) each week was = 17.8 hours. Assume
that the standard deviation σ of times spent on classes for all students at B.L.U.
is 5.6 hours.
a) Construct a 95% confidence interval for the average time spent on classes per
week by students at this college, based on the above sample. (10)
_________________________________________
b) Based on your confidence interval in a), is it reasonable to conclude that the
average weekly time spent on classes by students at Bud Light U. is over 16.5 hours?
Explain. (3)
c) A second, independent sample of 100 students at Bud Light U. was taken. Based on
this sample, a 99% confidence interval for the average weekly time spent on classes
by students is from 18.05 hours to 21.93 hours (18.05 < μ < 21.93).
Which confidence interval, in your judgment, provides the better estimate of
the population mean: the result of a) or this interval? Explain your choice.
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