A Mtgan stady concerming preference for outdoor activits ued a questonnaire wth a st point kert-type repone in which 1 denignated "not important and deiguted "estremely mportant.A randem sample of a,4 adus wre ked t ng an udoor actavty. The mean response was x,4.9. Anether raandom sample of n,43 adults were asked about camptng as an outdoor activity. For this group, the mean response was,4.L. From previus studes, it is known that o, -13 and , LA Dos the ncicate a aference (ter way) regurng preference for camping versus preference for hhing as an eutdoor activity? Use a 5% leved of Note: A LUkert scale usualy has to de with approval of or agreement with a statement ina questonnatre. For example, respondents are asked to indicate whether they "rengly agree,"agree, "dage," or "stronghy cagree with the statement. significance. (a) What is the level of sagnicance? State the rl and altemate hypotheses (b) what sampling dstributon will you use? What assumptions are you making? O The standard normal. We assume that both population distribubons are appraximately nomal with unknown standard deviatons O The Student's t. we assume that both population dstributions are approximately normal with unknown standard devations. O The Student's t. We assume that both population destributsons are approximately normal wnth known standard deviations. O The standard normal. we assume that both populabon distribubens are approximately normal with known standard devtatons what is the value of the sample test statistic? (Test the difference ,- Round your answer to two decimal places.) (c) Find (or estimate) the Pvalue. (Round your answer to four decdmal places.)

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A Michigan study concerming preference for outdoor adtivites used a questionnaire with a stx potnt Likert-type response in which 1 designated "not important and 6 designated "extremely important. A randem sample of n, 48 adufts were asked abot ng as an outdoor acthrty, The
mean response was x,4.9. Anether random sample of n, 43 adults were asked about camping as an outdoor activity. For this group, the mean response was,4.1. From previous studes, it is known that o,1.3 and o,1.8. Does this indicate a aference (ether way) regarcing
preference for camping versus preferenc for hshing as an outdoor activity? Use a 5% level of significance.
Note: A Lkert scale usualy has to do with approval of or agreement with a statement in a questionnalre. For example, respondents are asked to indicate whether they "strangly agree, "agree, "disagree,"
"strongly dagree with the statement.
(a) what ts the level of slon icance?
State the nul and altemate hypotheses.
(b) what samping distribution will you use? what assumptions are you making?
O The standard normal. We assume that both population distributions are appraximately normal with unknown standard devtations.
O The Student's t. We assume that both population distributions are approximately normal wtth unknown standard deviations.
O The Student's t. We assume that both population distributions are approximately normal wnth known standard deviations.
O The standard normal. We assume that both population distributions are approximately normal with known standard devtations.
What is the value of the sample test statistic? (Test the difference -H Round your answer to two decmal places.)
(c) Find (or estimate) the P.value. (Round your answer to four decmal places.)
Sketch the sampling distribution and show the area corresponding to the Pvalue.
-2
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Transcribed Image Text:A Michigan study concerming preference for outdoor adtivites used a questionnaire with a stx potnt Likert-type response in which 1 designated "not important and 6 designated "extremely important. A randem sample of n, 48 adufts were asked abot ng as an outdoor acthrty, The mean response was x,4.9. Anether random sample of n, 43 adults were asked about camping as an outdoor activity. For this group, the mean response was,4.1. From previous studes, it is known that o,1.3 and o,1.8. Does this indicate a aference (ether way) regarcing preference for camping versus preferenc for hshing as an outdoor activity? Use a 5% level of significance. Note: A Lkert scale usualy has to do with approval of or agreement with a statement in a questionnalre. For example, respondents are asked to indicate whether they "strangly agree, "agree, "disagree," "strongly dagree with the statement. (a) what ts the level of slon icance? State the nul and altemate hypotheses. (b) what samping distribution will you use? what assumptions are you making? O The standard normal. We assume that both population distributions are appraximately normal with unknown standard devtations. O The Student's t. We assume that both population distributions are approximately normal wtth unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal wnth known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with known standard devtations. What is the value of the sample test statistic? (Test the difference -H Round your answer to two decmal places.) (c) Find (or estimate) the P.value. (Round your answer to four decmal places.) Sketch the sampling distribution and show the area corresponding to the Pvalue. -2 Us 0 9 0 4:05 hp -> esc & %23 2$ % 6. ! @ 7 4 2
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