## [answered] Lab 4 ______________________ Name: Tuesday, November 15th 1

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Lab 4

______________________ Name: Due: Tuesday, November 15th

1. In a sample of 60 students, the mean GPA was found to be 2.7 grade point

units. Assume the population standard deviation is 0.4 grade point units.

Construct a 90% confidence interval for the population mean GPA. 2. A forester wishes to estimate the average number of ?count trees? per acre

(trees larger than a specified size) on a 2000-acre plantation. She can then

use this information to determine the total timber volume for trees in the

plantation. A random sample of 50 1-acre plots are selected and examined.

The average number of count trees per acre is found to be 27.3, with a

standard deviation of 12.1.

a. Use this information to construct a 99% confidence interval for ?, the

mean number of count trees per acre for the entire plantation. b. Give a non-statistical jargon interpretation of the confidence interval. 3. A massive multistate outbreak of food-borne illness was attributed to

Salmonella. Epidemiologists determined that the source of the illness was ice

cream. They sampled nine production runs from the company that produced

the ice cream to determine the level of Salmonella in the ice cream. These

levels are as follows:

0.593 0.142 0.329 0.691 0.231 0.793 0.519 0.392 0.418

a. Find the sample mean and standard deviation. b. Get a 95% confidence interval for the true mean level of Salmonella in

the ice cream. 4. In a recent survey of 750 people, 600 people claimed to watch football.

Construct a 95% confidence interval for the population proportion of people

who watch football. 5. An insurance company is concerned about the number of worker

compensation claims based on back injuries by baggers in grocery stores.

They want to evaluate the fitness of baggers at the many grocery stores they

insure. The workers selected for the study will be evaluated to determine the

amount of weight that they can lift without undue back stress. From studies

by other insurance companies the standard deviation was found to be 25

pounds. How many baggers must be included in the study to be 95%

confident that the mean weight lifted is estimated to within 8 pounds?

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