A Migan study concermang preference for outdoor activites used a questionnaire with a st pont Lkert-type response in which 1 designated "not important and 6 designated 'extremely importantArandem sample of n, mean response was 49. Another random sample ofn,43 adults were asked about camping as an outdoor activity. For this group, the mean response was 4.1. From previous studes, ts known that o 13 and o,1A Does this indicate a dfference (ther way) regarding about hsNing 1 outdoor activity. T preference for camping versus preference for hshing as an outdoor activity? Use a 5% level of signhcance. Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they strengly agree, "agree, "diagree," or strongy onagree with the statement (a) what is the level of ugniticance? State the nul and altermate hypotheses (b) what samphng distribubon will you une? what assumptions are you making O The standard normal, we assume that both popultion dstribubons are appresimately normal with unknown standard devations lO The Student's t weume that both population distnbutions are appromately normal with unknown standard deviations lo The Student's t we assume that both population distrbutions are approvimately normal wth known standard devtatons The standard normal we assume that both population datributions are approvimately normal with known standard devations what is the value of the sample test statstc (Test the dfference ,- Round your answer to tes dectmal places) 7.24 1x (c)Pind (or estimate) the Pvalue. (Round your answer to four deamal places) 7.24 1x Sketch the sampling distribution and show the area comresponding to the Avalue
A Migan study concermang preference for outdoor activites used a questionnaire with a st pont Lkert-type response in which 1 designated "not important and 6 designated 'extremely importantArandem sample of n, mean response was 49. Another random sample ofn,43 adults were asked about camping as an outdoor activity. For this group, the mean response was 4.1. From previous studes, ts known that o 13 and o,1A Does this indicate a dfference (ther way) regarding about hsNing 1 outdoor activity. T preference for camping versus preference for hshing as an outdoor activity? Use a 5% level of signhcance. Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they strengly agree, "agree, "diagree," or strongy onagree with the statement (a) what is the level of ugniticance? State the nul and altermate hypotheses (b) what samphng distribubon will you une? what assumptions are you making O The standard normal, we assume that both popultion dstribubons are appresimately normal with unknown standard devations lO The Student's t weume that both population distnbutions are appromately normal with unknown standard deviations lo The Student's t we assume that both population distrbutions are approvimately normal wth known standard devtatons The standard normal we assume that both population datributions are approvimately normal with known standard devations what is the value of the sample test statstc (Test the dfference ,- Round your answer to tes dectmal places) 7.24 1x (c)Pind (or estimate) the Pvalue. (Round your answer to four deamal places) 7.24 1x Sketch the sampling distribution and show the area comresponding to the Avalue
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
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