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Chapter 8: Q. 71 (page 519)

How heavy a load (pounds) is needed to pull apart pieces of Douglas fir 4inches long and 1.5inches square? A random sample of 20similar pieces of Douglas fir from a large batch was selected for a science class. The Fathom boxplot below shows the class鈥檚 data. Explain why it would not be wise to use a one-sample t interval to estimate the population mean渭.

Short Answer

Expert verified

The Normal requirement to use the t-procedure is thus not required.

Step by step solution

01

Given Information

02

Explanation

In the box plot we note that there are 3outliers and the distribution appears to be left-skewed (since the line in the box of the boxplot is more to the right of the box).

Since the distribution contains outliers and skewness, the distribution is NOT approximately a normal distribution.

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Most popular questions from this chapter

To assess the accuracy of a laboratory scale, a standard weight known to weigh 10grams is weighed repeatedly. The scale readings are Normally distributed with unknown mean (this mean is 10grams if the scale has no bias). In previous studies, the standard deviation of the scale readings has been about 0.0002gram. How many measurements must be averaged to get a margin of error of 0.0001with 98% confidence? Show your work.

You have measured the systolic blood pressure of an SRS of 25company employees. A 95%confidence interval for the mean systolic blood pressure for the employees of this company is (122,138). Which of the following statements gives a valid interpretation of this interval?

(a) 95%of the sample employees have systolic blood pressure between 122and138.

(b) 95%of the population of employees have systolic blood pressure between 122and138.

(c) If the procedure were repeated many times, 95%of the resulting confidence intervals would contain the population mean systolic blood pressure.

(d) The probability that the population mean blood pressure is between 122and138is 0.95.

(e) If the procedure were repeated many times, 95%of the sample means would be between122and138.

Abstain from drinking In a Harvard School of Public Health survey, 2105 of 10,904 randomly selected U.S. college students were classified as abstainers (nondrinkers).

(a) Construct and interpret a 99% confidence interval forp. Follow the four-step process.

(b) A newspaper article claims that 25% of U.S. college students are nondrinkers. Use your result from (a) to comment on this claim.

26. Sisters and brothers (3.1, 3.2) How strongly do physical characteristics of sisters and brothers correlate? Here are data on the heights (in inches)
of 11 adult pairs:

Brother
71
68
66
67
70
71
70
73
72
65
66
Sister
69
64
65
63
65
62
65
64
66
59
62

(a) Construct a scatterplot using brother鈥檚 height as the explanatory variable. Describe what you see.
(b) Use your calculator to compute the least-squares regression line for predicting sister鈥檚 height from brother鈥檚 height. Interpret the slope in context.
(c) Damien is 70 inches tall. Predict the height of his sister Tonya.
(d) Do you expect your prediction in (c) to be very accurate? Give appropriate evidence to support your answer.

High tuition costs Glenn wonders what proportion of the students at his school think that tuition is too high. He interviews an SRS of 50 of the 2400 students at his college. Thirty-eight of those interviewed think tuition is too high.
See all solutions

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