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Chapter 12: Q. 18 (page 792)

The professor swims Here are data on the time (in minutes) Professor Moore takes to swim 2000yards and his pulse rate (beats per minute) after swimming on a random sample of 23days:

Is there convincing evidence of a negative linear relationship between Professor Moore’s swim time and his pulse rate in the population of days on which he swims2000yards?

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Given Information

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Most popular questions from this chapter

Determining tree biomass It is easy to measure the diameter at breast height (in centimeters) of a tree. It’s hard to measure the total aboveground biomass (in kilograms) of a tree because to do this, you must cut and weigh the tree. Biomass is important for studies of ecology, so ecologists commonly estimate it using a power model. The following figure is a scatterplot of the natural logarithm of biomass against the natural logarithm of diameter at breast height (DBH) for 378trees in tropical rain forests. The least-squares regression line for the transformed data is lny∧=-2.00+2.42lnx∧lny^=-2.00+2.42lnx^

Use this model to estimate the biomass of a tropical tree 30cm in diameter.

Sam has determined that the weights of unpeeled bananas from his local store have a mean of116grams with a standard deviation of 9grams. Assuming that the distribution of weight is approximately Normal, to the nearest gram, the heaviest 30%of these bananas weigh at least how much?

a.107g

b.121g

C.111g

d.125g

e.116g

Which of the following is a categorical variable?

a. The weight of an automobile

b. The time required to complete the Olympic marathon

c. The fuel efficiency (in miles per gallon) of a hybrid car

d. The brand of shampoo purchased by shoppers in a grocery store

e. The closing price of a particular stock on the New York Stock Exchange

Braking distance, again How is the braking distance for a car related to the amount of tread left on the tires? Here are the braking distances (measured in car lengths) for a car making a panic stop in standing water, along with the tread depth of the tires (in 1/32inch):

Tread depth (1/32 inch)Breaking distance (car lengths)119.7109.8910.1810.4710.8611.2511.8412.4313.6115.2

a. Transform both variables using logarithms. Then calculate and state the least-squares regression line using the transformed variables.

b. Use the model from part (a) to calculate and interpret the residual for the trial when the tread depth was 3/32 inch.

Suppose that the mean weight of a certain breed of pig is 280pounds with a standard deviation of 80pounds. The distribution of weight for these pigs tends to be somewhat skewed to the right. A random sample of 100pigs is taken. Which of the following statements about the sampling distribution of the sample mean weight xis true?

a. It will be Normally distributed with a mean of 280pounds and a standard deviation of 80pounds.

b. It will be Normally distributed with a mean of 280pounds and a standard deviation of 8pounds.

c. It will be approximately Normally distributed with a mean of 280pounds and a standard deviation of80pounds.

d. It will be approximately Normally distributed with a mean of 280pounds and a standard deviation of 8pounds.

e. There is not enough information to determine the mean and standard deviation of the sampling distribution.
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