In: Statistics and Probability
(Topic: Confidence Interval Estimation for the Mean of a Normal
Distribution: Population Variance Known)
The number...
- (Topic: Confidence Interval Estimation for the Mean of a Normal
Distribution: Population Variance Known)
The number of bolts produced each hour
from a particular machine is normally distributed with a standard
deviation of 7.4. For a random sample of 15 hours, the average
number of bolts produced was 587.3.
Find the upper and lower confidence
limits of a 98% confidence interval for the population mean number
of bolts produced per hour.
- Find the answer by hand calculation.
- Find the answer using Minitab.
- Interpret the confidence interval verbally.
- The number of television sets produced from an assembly line
each day is known to have a standard deviation of 17.4 sets per
day. The production line averaged 452.3 sets per day for 20
randomly selected days. Which of the following represents a 95%
confidence interval for the population mean number of sets per
hour?
- You are interested in determining the amount of time (in
minutes) you spend each day on the Internet. For seven days, these
values are: 51, 24, 16, 88, 63, 28, and 59. Assume that the amount
of time you spend on the Internet each day is normally distributed,
and develop a 90% confidence interval for the population average
amount of time.