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Chapter 2: Q 80. (page 142)

Carbon dioxide emissions The following figure is a Normal probability plot of the emissions of carbon dioxide CO2 per person in 48 countries.15 Use the graph to determine if this distribution of CO2 emissions is approximately Normal.

Short Answer

Expert verified

No, it is not approximately normal.

Step by step solution

01

Given information

The figure is:

02

Concept

The distance between the minimum and maximum values from the mean must be the same for the distribution to be normal.

03

Explanation

The data points in the provided image do not follow a linear trend, and curvature can also be seen in the provided normal probability plot. As a result, it is possible to conclude that CO2 emission distribution is not approximately normal.

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Most popular questions from this chapter

Quick, click! An Internet reaction time test asks subjects to click their mouse button as soon as a light flashes on the screen. The light is programmed to go on at a randomly selected time after the subject clicks โ€œStart.โ€ The density curve models the amount of time the subject has to wait for the light to flash.

a. What height must the density curve have? Justify your answer.

b. About what percent of the time will the light flash more than 3.75 seconds after the subject clicks โ€œStartโ€?

c. Calculate and interpret the 38th percentile of this distribution.

Put a lid on it! Refer to Exercise 56. The supplier is considering two changes to reduce the percent of its large-cup lids that are too small to less than 1%. One strategy is to adjust the mean diameter of its lids. Another option is to alter the production process, thereby decreasing the standard deviation of the lid diameters.

(a) If the standard deviation remains at ฯƒ=0.02inches, at what value should the supplier set the mean diameter of its large-cup lids to ensure that less than 1%are too small to fit? Show your method.

(b) If the mean diameter stays at ฮผ=3.98inches, what value of the standard deviation will result in less than 1%of lids that are too small to fit? Show your method.

(c) Which of the two options in (a) and (b) do you think is preferable? Justify your answer. (Be sure to consider the effect of these changes on the percent of lids that are too large to fit.)

Run fast Peter is a star runner on the track team. In the league championship meet, Peter records a time that would fall at the 80th percentile of all his race times that season. But his performance places him at the 50th percentile in the league championship meet. Explain how this is possible. (Remember that shorter times are better in this case!)

Georgeโ€™s average bowling score is180; he bowls in a league where the average for all bowlers is 150 and the standard deviation is 20Billโ€™s average bowling score is 190; he bowls in a league where the average is 160and the standard deviation is 15. Who ranks higher in his own league, George or Bill?

a. Bill, because his 190is higher than Georgeโ€™s 180

b. Bill, because his standardized score is higher than Georgeโ€™s.

c. Bill and George have the same rank in their leagues because both are 30pins above the mean.

d. George, because his standardized score is higher than Billโ€™s.

e. George, because the standard deviation of bowling scores is higher in his league.

The weights of laboratory cockroaches can be modeled with a Normal distribution having a mean of 80 grams and a standard deviation of 2 grams. The following figure is the Normal curve for this distribution of weights.

Point C on this Normal curve corresponds to

a. 84 grams.

b. 82 grams.

c. 78 grams.

d. 76 grams.

e. 74 grams.
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