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MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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 alt="A Michigan study concerming preference for outdoor activitles used a questionnaire with a str-point Likert-type response in which 1 designated "not Important" and 6 designated "extremely important." A random sample of n, = 48 adults were asked about fishing as an outdoor activity, The
mean response was x,4.9. Another random sample of n 43 aduits were asked about camping as an outdoor activity. For this group, the mean response was x,4.1. From previous studles, it is known that o, 1.3 and o, = 1.8. Does this indicate a difference (ether way) regarding
preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance.
Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnalre. For example, respondents are asked to Indicate whether they "strongly agree." "agree. "disagree." or "strongly disagree" with the statement.
(a) what is the level of significance?
0.05
state the null and alternate hypotheses.
O H H, = Hi H, H, > H,
(b) what sampling distribution will you use? What assumptions are you maling?
lO The standard normal, we assume that both population distributions are approximately normal with unknown standard deviatons.
l
O The Student's t. We sume that both population distributions are approximately normal with unknown standard deviations.
lo The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
The standard normal. We assume that both population distributions are approximately hormal with known standard deviations.
what is the value of the sample test statistic? (Test the dfference u, - u Round your answer to two decmal places.)
24
Entera umber,
(c) Find (or estimate) the Pvalue. (Round your answer to four decmal places.)
7.24
Sketch the sampling distribution and show the area coresponding to the Pvalue.
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Transcribed Image Text:A Michigan study concerming preference for outdoor activitles used a questionnaire with a str-point Likert-type response in which 1 designated "not Important" and 6 designated "extremely important." A random sample of n, = 48 adults were asked about fishing as an outdoor activity, The
mean response was x,4.9. Another random sample of n 43 aduits were asked about camping as an outdoor activity. For this group, the mean response was x,4.1. From previous studles, it is known that o, 1.3 and o, = 1.8. Does this indicate a difference (ether way) regarding
preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance.
Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnalre. For example, respondents are asked to Indicate whether they "strongly agree." "agree. "disagree." or "strongly disagree" with the statement.
(a) what is the level of significance?
0.05
state the null and alternate hypotheses.
O H H, = Hi H, H, > H,
(b) what sampling distribution will you use? What assumptions are you maling?
lO The standard normal, we assume that both population distributions are approximately normal with unknown standard deviatons.
l
O The Student's t. We sume that both population distributions are approximately normal with unknown standard deviations.
lo The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
The standard normal. We assume that both population distributions are approximately hormal with known standard deviations.
what is the value of the sample test statistic? (Test the dfference u, - u Round your answer to two decmal places.)
24
Entera umber,
(c) Find (or estimate) the Pvalue. (Round your answer to four decmal places.)
7.24
Sketch the sampling distribution and show the area coresponding to the Pvalue.
us 09 O 5:57
US
->
esc
&
backspace
@
#
2$
%3D
7
8
9.
4
1
2
{
y
W
e
r
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