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Week 5
Problem Set IV Complete and submit the following problem set:
? Lind Chapter 9: Exercises 12, 28
? Lind Chapter 10: Exercises 6, 18
? Lind Chapter 12: Exercise 30
Lind Chapter 9:
12. The American Sugar Producers Association wants to estimate the mean yearly sugar consumption. A sample of 16 people reveals the mean yearly consumption to be 60 pounds with a standard deviation of 20 pounds.
A. What is the value of the population mean? What is the best estimate of this value?
The value of the population mean is unknown. However, we have the sample mean to guesstimate it at about 60 pounds.
B. Explain why we need to use the t distribution. What assumption do you need to make?
Given that the standard deviation of the population is unknown, we need to use the t distribution. We need to assume that the population follows normal distribution.
C. For a 90 percent confidence interval, what is the value of t?
For a 90 percent confidence interval, the value of t is 2.131
D. Develop the 90 percent confidence interval for the population mean.
(49.345, 70.655)
E. Would it be reasonable to conclude that the population mean is 63 pounds?
Yes, because 63 is in the above 90% confidence interval
28. A processor of carrots cuts the green top off each carrot, washes the carrots, and inserts six to a package. Twenty packages are inserted in a box for shipment. To test the weight of the boxes, a few were checked. The mean weight was 20.4 pounds, the standard deviation 0.5 pounds. How many boxes must the processor sample to be 95 percent confiden ...