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Six sets of identical twins were randomly selected from a population of identical twins. One child was taken at random from each pair to form an expertmental group. These children participated in a program designed to promcte creative thinking. The other child from each par wan part of the control group that did net participate in the program to promote creative thinktng. At the end of the program, a creative problem-solving test was given, with the results shown in the table below. Twin Pair Experimental group 51 Control Group CD E 33 35 14 25 47 39 21 7 18 21 42 Higher scores Indicate better performance in creative problem solving. Do the data support the claim that the program of the experimental group did promote creative problem solving? Use a 0.01. (Let d = expertmental - control.) What are we testing in this problem? O single proportion O difference of means O dfference of proportions O paired difference O single mean (a) what is the level of significance? State the null and altermate hypotheses. O H H= 0; H H0 O Hg H> 0, H, Hg =0 (b) what samplng distribution will you use? what assumptions are you making? O The Student's t We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately normal distribution. O The standard normal. We assume that d has an approximately uniform distribution. O The Student's t. We assume that d has an approxdmately normal distribution What is the value of the sample test statistic? (Round your answer to three decmal places.) (c) Find (or estimate) the Avalue. OPvalue> 0.250 O 0.125 < P-value <0.25s0 O 0.050 < P-value <0.125 O 0.025

Six sets of identical twins were randomly selected from a population of identical twins. One child was taken at random from each pair to form an expertmental group. These children participated in a program designed to promcte creative thinking. The other child from each par wan part of the control group that did net participate in the program to promote creative thinktng. At the end of the program, a creative problem-solving test was given, with the results shown in the table below. Twin Pair Experimental group 51 Control Group CD E 33 35 14 25 47 39 21 7 18 21 42 Higher scores Indicate better performance in creative problem solving. Do the data support the claim that the program of the experimental group did promote creative problem solving? Use a 0.01. (Let d = expertmental - control.) What are we testing in this problem? O single proportion O difference of means O dfference of proportions O paired difference O single mean (a) what is the level of significance? State the null and altermate hypotheses. O H H= 0; H H0 O Hg H> 0, H, Hg =0 (b) what samplng distribution will you use? what assumptions are you making? O The Student's t We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately normal distribution. O The standard normal. We assume that d has an approximately uniform distribution. O The Student's t. We assume that d has an approxdmately normal distribution What is the value of the sample test statistic? (Round your answer to three decmal places.) (c) Find (or estimate) the Avalue. OPvalue> 0.250 O 0.125 < P-value <0.25s0 O 0.050 < P-value <0.125 O 0.025

MATLAB: An Introduction with Applications
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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Spamish Six sets of identical twins were randomly selected from a population of identical twins. One child was taken at random from each pair to form an expertmental group. These children partidpated in a program designed to promote creative thinking. The other child from each pair was part of the control group that did not participate in the program to promote creative thinking. At the end of the program, a creative problem-solving test was given, with the results shown In the table below. A B Experimental group 51 39 Twin Pair D 35 14 25 33 47 Control Group 21 18 21 42 Higher scores Indicate better performance In creative problem solving. Do the data support the claim that the program of the experimental group did promote creative problem solving? Use a= 0.01. (Let d = expertmental - control.) What are we testing in this problem? O single proportion O difference of means O difference of proportions O palred difference O single mean (a) what is the level of significance? State the null and alternate hypotheses. O Ho: Ha-0; H, Hg<0 O Ho: Ha- 0; H,: H0 O Ho: H > 0; Hi Ha =0 (b) what sampling distribution will you use? what assumptions are you making? O The Student's t. We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately normal distribution. O The standard normal. we assume that d has an approximately uniform distrbution. O The Student's t. We assume that d has an approximately normal distribution. What is the value of the sample test statistic? (Round your answer to three decmal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P.value <0.125 O 0.025 <P-value < 0.050 O 0.005 < P.value <0.025 US 9 O 10:23
Transcribed Image Text:Spamish Six sets of identical twins were randomly selected from a population of identical twins. One child was taken at random from each pair to form an expertmental group. These children partidpated in a program designed to promote creative thinking. The other child from each pair was part of the control group that did not participate in the program to promote creative thinking. At the end of the program, a creative problem-solving test was given, with the results shown In the table below. A B Experimental group 51 39 Twin Pair D 35 14 25 33 47 Control Group 21 18 21 42 Higher scores Indicate better performance In creative problem solving. Do the data support the claim that the program of the experimental group did promote creative problem solving? Use a= 0.01. (Let d = expertmental - control.) What are we testing in this problem? O single proportion O difference of means O difference of proportions O palred difference O single mean (a) what is the level of significance? State the null and alternate hypotheses. O Ho: Ha-0; H, Hg<0 O Ho: Ha- 0; H,: H0 O Ho: H > 0; Hi Ha =0 (b) what sampling distribution will you use? what assumptions are you making? O The Student's t. We assume that d has an approximately uniform distribution. O The standard normal. We assume that d has an approximately normal distribution. O The standard normal. we assume that d has an approximately uniform distrbution. O The Student's t. We assume that d has an approximately normal distribution. What is the value of the sample test statistic? (Round your answer to three decmal places.) (c) Find (or estimate) the P-value. O P-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P.value <0.125 O 0.025 <P-value < 0.050 O 0.005 < P.value <0.025 US 9 O 10:23
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