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Chapter 10: Q. T10.1 (page 697)

A study of road rage asked separate random samples of 596men and 523 women

about their behavior while driving. Based on their answers, each respondent was

assigned a road rage score on a scale of 0 to 20. Are the conditions for performing a

two-sample t test satisfied?

a. Maybe; we have independent random samples, but we should look at the data to

check Normality.

b. No; road rage scores on a scale from 0 to 20 can鈥檛 be Normal.

c. No; we don鈥檛 know the population standard deviations.

d. Yes; the large sample sizes guarantee that the corresponding population

distributions will be Normal.

e. Yes; we have two independent random samples and large sample sizes.

Short Answer

Expert verified

The correct answer is:

e. Yes; we have two independent random samples and large sample sizes.

Step by step solution

01

Given information

We are given separate samples of 596men and 523women about their behavior while driving.

Conditions for performing a two-sample t-test: Random, Normal and Independent.

02

Explanation

Random: I'm satisfied because the samples were supplied to me at random.

Normal: Because each sample has a sample size of at least 30, it can be presumed to be satisfied.

Independent: Satisfied. Because the random samples were given to be separate, they are now independent. Furthermore, the sample sizes are less than 10%of the whole population.

Because all three conditions have been met, answer (e) is correct.

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Most popular questions from this chapter

Candles A company produces candles. Machine 1 makes candles with a mean

length of 15cm and a standard deviation of 0.15cm. Machine 2 makes candles with a

mean length of 15cm and a standard deviation of 0.10cm. A random sample of 49

candles is taken from each machine. Let x 虅1鈭抶 虅2 be the

difference (Machine 1 鈥� Machine 2) in the sample mean length of candles. Describe the

shape, center, and variability of the sampling distribution of x 虅1鈭抶 虅2.

Does drying barley seeds in a kiln increase the yield of barley? A famous

experiment by William S. Gosset (who discovered the t distributions) investigated this

question. Eleven pairs of adjacent plots were marked out in a large field. For each pair,

regular barley seeds were planted in one plot and kiln-dried seeds were planted in the

other. A coin flip was used to determine which plot in each pair got the regular barley seed

and which got the kiln-dried seed. The following table displays the data on barley yield

(pound per acre) for each plot.

Do these data provide convincing evidence at the 伪=0.05 level

that drying barley seeds in a kiln increases the yield of barley, on average?

There are two common methods for measuring the concentration of a pollutant in fish tissue. Do the two methods differ, on average? You apply both methods to each fish in a random sample of 18carp and use

a. the paired t test for 渭diff3051526=0.200=20.0%渭diff.

b. the one-sample z test for p.

c. the two-sample t test for 渭1-渭23051526=0.200=20.0%渭1-渭2.

d. the two-sample z test for p1-p23051526=0.200=20.0%p1-p2.

e. none of these.

Friday the 13thRefer to Exercise 88.

a. Construct and interpret a 90%confidence interval for the true mean difference. If you already defined parameters and checked conditions in Exercise 88, you don鈥檛 need to do them again here.

b. Explain how the confidence interval provides more information than the test in Exercise 88.

A researcher wants to determine whether or not a 5-week crash diet is effective over a long period of time. A random sample of 15five-week crash dieters is selected. Each person鈥檚 weight (in pounds) is recorded before starting the diet and 1year after it is concluded. Do the data provide convincing evidence that 5-week crash dieters weigh less, on average, 1year after finishing the diet?

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