13.1)The cost of a home depends on the number of bedrooms in the house. Suppose the following

data is recorded for homes in a given town

price (in thousands) 300 250 400 550 317 389 425 289 389 559

No. bedrooms 3 3 4 5 4 3 6 3 4 5

Make a scatterplot, and t the data with a regression line. On the same graph, test the hypothesis

that an extra bedroom costs $60,000 against the alternative that it costs more.

13.2) It is well known that the more beer you drink, the more your blood alcohol level rises. Suppose

we have the following data on student beer consumption

Student 1 2 3 4 5 6 7 8 9 10

Beers 5 2 9 8 3 7 3 5 3 5

BAL 0.10 0.03 0.19 0.12 0.04 0.095 0.07 0.06 0.02 0.05

Make a scatterplot and t the data with a regression line. Test the hypothesis that another beer

raises your BAL by 0.02 percent against the alternative that it is less.

13.3 )For the same Blood alcohol data, do a hypothesis test that the intercept is 0 with a two-sided

alternative.

13.4 )The lapse rate is the rate at which temperature drops as you increase elevation. Some hardy

students were interested in checking empirically if the lapse rate of 9.8 degrees C/km was accu-

rate for their hiking. To investigate, they grabbed their thermometers and their Suunto wrist

altimeters and found the following data on their hike

elevation (ft) 600 1000 1250 1600 1800 2100 2500 2900

temperature (F) 56 54 56 50 47 49 47 45

Draw a scatter plot with regression line, and investigate if the lapse rate is 9.8C/km. (First, it

helps to convert to the rate of change in Fahrenheit per feet with is 5.34 degrees per 1000 feet.)

Test the hypothesis that the lapse rate is 5.34 degrees per 1000 feet against the alternative that

it is less than this.

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