MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Snow removal is a concern in parts of the United States that receive large amounts of
snowfall every year. A company that manufactures snow blowers has developed a
new auger that is supposed to remove snow faster than the previous design. After a
fresh snow, the company asks 20 volunteers to participate in an experiment to
determine if the new auger speeds up snow removal. 10 volunteers are randomly
assigned to snow blowers equipped with the new auger and the rest are assigned to
identical snow blowers equipped with the previous auger design. The volunteers are
asked to clear a section of snow-covered parking lot that is 100 meters long. The
time (in minutes) that it takes each volunteer to clear the 100 meters appears in the
table below.
Previous Design 4.2 4.1 5.2 4.6
4.9 4.3 4.6 4.4 4.6| 4.7
New Design
4.2 4.2 4.8
4.6
4.3
4.2 4.8
4.6
4.7
4.1
a. State appropriate hypotheses for performing a significance test.
b. Define the parameters of interest.
c. Calculate the standardized test statistic.
d. Find the P-value.
e. Does this provide convincing evidence at the a = 0.05 significance level that the
new auger will speed up snow removal? Justify your answer.
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Transcribed Image Text:Snow removal is a concern in parts of the United States that receive large amounts of snowfall every year. A company that manufactures snow blowers has developed a new auger that is supposed to remove snow faster than the previous design. After a fresh snow, the company asks 20 volunteers to participate in an experiment to determine if the new auger speeds up snow removal. 10 volunteers are randomly assigned to snow blowers equipped with the new auger and the rest are assigned to identical snow blowers equipped with the previous auger design. The volunteers are asked to clear a section of snow-covered parking lot that is 100 meters long. The time (in minutes) that it takes each volunteer to clear the 100 meters appears in the table below. Previous Design 4.2 4.1 5.2 4.6 4.9 4.3 4.6 4.4 4.6| 4.7 New Design 4.2 4.2 4.8 4.6 4.3 4.2 4.8 4.6 4.7 4.1 a. State appropriate hypotheses for performing a significance test. b. Define the parameters of interest. c. Calculate the standardized test statistic. d. Find the P-value. e. Does this provide convincing evidence at the a = 0.05 significance level that the new auger will speed up snow removal? Justify your answer.
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