1.(T or F) Nationally, the standard deviation of the monthly rents for houses is twice as large as the standard deviation of the monthly rent for apartments. True or False: The standard deviation of the sample average for a random sample of 200 houses would be the same as the standard deviation of the sample average for a random sample of 100 apartments.

 

2.(T or F) Two polls about the Presidentâs policy for the War in Afghanistan used the same methodology and had the same sample size but had different question wording. In the first poll 45% of those surveyed favored the policy, while in the second poll 55% favored the policy. True or False: even though the question wording might have changed the results, it would not have any affect on the margin-of-error.

 

3.Which of the following would be closest to a normal distribution?

A.The sampling distribution of the average weight of 40 eggs randomly selected from the stock at the State College Wegman's grocery.

B.The sampling distribution of the average weight of 4 eggs randomly selected from the stock of all of the Wegmanâs grocery stores nationwide.

C.The distribution of the individual weights of all of the eggs sold at the State College Wegmanâs grocery store yesterday.

D.The distribution of the individual weights of all of the eggs sold at all of the Wegmanâs grocery stores nationwide yesterday.

 

4. A random sample of 900 homeowners in Delaware County is taken in order to estimate the average amount of money spent by homeowners on landscaping this spring. It turns out that this group spent an average of $200 with a standard deviation of $150. A 95% confidence interval for the average amount spent on landscaping by all Delaware County homeowners is calculated to be $200 ± $10. Which is true about this situation?

 

A.The true average amount spent must be in this interval.

B.The procedure used here produces intervals that cover the right answer for 95% of all samples.

C.This confidence interval wonât cover the right answer since a histogram of the amount spent is skewed.

D.The interval would be larger if we used an 80% confidence level instead of 95%.

 

 

5. A researcher believes that the average height of trees in a particular section of forest is over 60 feet. To test the null hypothesis of µ = 60 versus the alternative of µ > 60 the researcher takes a random sample of 200 trees from this forest and finds a test statistic of Z = â1.3. The p-value for this test would be

A. 90%

B. 10%

C. 30%

D. 70%

 

6. The Capilano Fish Hatchery in British Columbia raises Coho Salmon and releases about one million per year as smolts into the Capilano River. The Hatchery would consider its program successful if it could prove that more than 5% of these fish survive to adulthood and return to the river to spawn. In 1983 an experiment was conducted in which 1000 smolts were tagged with a special coded wire. It turned out that 68 (6.8%) of the tagged fish returned as adults to the Capilano River. For this problem, the p-value would be:

A. 0.068

B. 0.96

C. 0.055

D. 0.005

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