For each hypothesis test you complete, please answer questions (a) through (i) listed below. (a) What conditions should you check first before you con- duct the hypothesis test? (b) Write the null and alternative hypotheses. (c) What type of test are you doing: right-tailed, left-tailed or two-tailed?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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For each hypothesis test you complete, please answer questions (a)
through (i) listed below.
(a) What conditions should you check first before you con-
duct the hypothesis test?
(b) Write the null and alternative hypotheses.
(c) What type of test are you doing: right-tailed, left-tailed
or two-tailed?
(d) What formula should be used for the test statistic?
(e) What number is the test statistic equal to?
(f) Sketch a graph of the p-value
(g) What p-value do you obtain? Round to the ten-thousandths.
(h) Do you reject the null hypothesis or fail to reject the
null hypothesis? Explain.
(i) Please write a conclusion sentence, in the context of the
problem, that explains to a lay person the result of the hypothesis
test.

1. The Bureau of the Census reports that the average commuting time for
citizens of both Baltimore, Maryland, and Miami, Florida, is approxi-
mately 29 minutes. To see if their commuting times appear to be any
different in the winter, random samples of 40 drivers were surveyed in
each city and the average commuting time for the month of January
was calculated for both cities. The results are provided below. At the
5% level of significance, can it be concluded that the commuting times
are different in the winter?
Miami
Baltimore
Sample size
Sample mean
Population standard deviation 7.2 min
40
40
28.5 min
35.2 min
9.1 min
Source: www.census.gov
Transcribed Image Text:1. The Bureau of the Census reports that the average commuting time for citizens of both Baltimore, Maryland, and Miami, Florida, is approxi- mately 29 minutes. To see if their commuting times appear to be any different in the winter, random samples of 40 drivers were surveyed in each city and the average commuting time for the month of January was calculated for both cities. The results are provided below. At the 5% level of significance, can it be concluded that the commuting times are different in the winter? Miami Baltimore Sample size Sample mean Population standard deviation 7.2 min 40 40 28.5 min 35.2 min 9.1 min Source: www.census.gov
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