Question

In: Statistics and Probability

(Topic: Confidence Interval Estimation for the Mean of a Normal Distribution: Population Variance Known) The number...

  1. (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.

  1. Find the answer by hand calculation.
  2. Find the answer using Minitab.
  3. Interpret the confidence interval verbally.

  1. 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?
  1. 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.

Solutions

Expert Solution

a)

b)

c) Interpretation : Out of 100 samples drawn, sample mean will be between (582.28, 592.32) for 95 samples.

d)


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