SCENARIO 5 A psychologist investigates the effect of whether or not the presence of an audience makes people run faster She hypothesizes that people who run in front of an audience have faster running times (smaller number in minutes) than those who do not run in front of an audience Ten people are matched based on their weight because weight can affect running time Then, 5 are randomly assigned to the group that runs in front of an audience (X 1 ) and the other 5 matched pairs are assigned to the group that does not run in front of an audience (X 2 ) Use the data in Table 1 below to help you conduct a paired samples t test to test the null hypothesis at the 05 level of significance Table 1 Running Time in Minutes Pair Audience X 1 No Audience X 2 D D 2 1 8 20 12 144 2 5 14 9 81 3 5 15 10 100 4 4 12 8 64 5 2 10 8 64 Sum D 47 Sum D 2 453 Select the correct research question for SCENARO 5 When individuals are matched by weight, is there a difference in running time between those whorun in front of an audience and those who do not run in front of an audience When individuals are matched by weight, do those who run in front of an audience have faster running times than those who do not run in front of an audience There is no way to tell When individuals are matched by weight, do those who run in front of an audience have slower running times than those who do not run in front of an audience 2 points QUESTION 28 Select the correct statistical hypothesis for SCENARIO 5 H 0 D 47 H 1 D 47 H 0 D 0 H 1 D 0 H 0 D 0 H 1 D 0 H 0 D 47 H 1 D 47 2 points QUESTION 29 The critical t value for SCENARIO 5 is 2 13 and the observed t score is 12 53 Select the correct decision and explanation about whether or not you should reject H 0 for SCENARIO 5 Reject the null hypothesis because the t observed value of 12 53 is more negative than the t critical value of 2 13 Do notreject the null hypothesis because the t observed value of 12 53 is no different than the t critical value of 2 13 Do not reject the null hypothesis because the t observed value of 12 53 is more than the t critical value of 2 13 Reject the null hypothesis because the t observed value of 12 53 is greater than the t critical value of 2 13 QUESTION 30 Select the best interpretation of the results for SCENARIO 5 There is no way to determine this When individuals are matched by weight, those who run in front of an audience have faster running times than those who do not run in front of an audience When individuals are measured twice, those who run in front of an audience have faster running times than those who do not run in front of an audience When individuals are matched by weight, those who run in front of an audience have slower running times than those who do not run in front of an audience

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SCENARIO 5 A psychologist investigates the effect of whether or not the presence of an audience makes people run faster. She hypothesizes that people who

SCENARIO 5

A psychologist investigates the effect of whether or not the presence of an audience makes people run faster. She hypothesizes that people who run in front of an audience have faster running times (smaller number in minutes) than those who do not run in front of an audience. Ten people are matched based on their weight because weight can affect running time. Then, 5 are randomly assigned to the group that runs in front of an audience (X₁) and the other 5 matched pairs are assigned to the group that does not run in front of an audience (X₂). Use the data in Table 1 below to help you conduct a paired samplest-test to test the null hypothesis at the .05 level of significance.

Table 1.

Running Time in Minutes
Pair	Audience X₁	No Audience X₂	D	D²
1	8	20	-12	144
2	5	14	-9	81
3	5	15	-10	100
4	4	12	-8	64
5	2	10	-8	64
			Sum D = -47	Sum D²= 453

Select the correct research question for SCENARO 5

		When individuals are matched by weight, is there a difference in running time between those whorun in front of an audience and those who do not run in front of an audience?
		When individuals are matched by weight, do those who run in front of an audience have faster running times than those who do not run in front of an audience?
		There is no way to tell
		When individuals are matched by weight, do those who run in front of an audience have slower running times than those who do not run in front of an audience?

2 points

QUESTION 28

Select the correct statistical hypothesis for SCENARIO 5

		H₀: _D>-47 H₁: _D< -47
		H₀: _D>0 H₁: _D< 0
		H₀: _D<0 H₁: _D>0
		H₀: _D>47 H₁: _D< 47

2 points

QUESTION 29

The critical t value for SCENARIO 5 is -2.13 and the observed t score is -12.53. Select the correct decision and explanation about whether or not you should reject H₀for SCENARIO 5.

		Reject the null hypothesis because the t observed value of -12.53 is more negative than the t critical value of -2.13
		Do notreject the null hypothesis because the t observed value of -12.53 is no different than the t critical value of -2.13
		Do not reject the null hypothesis because the t observed value of -12.53 is more than the t critical value of -2.13
		Reject the null hypothesis because the t observed value of -12.53 is greater than the t critical value of -2.13

QUESTION 30

Select the best interpretation of the results for SCENARIO 5

		There is no way to determine this
		When individuals are matched by weight, those who run in front of an audience have faster running times than those who do not run in front of an audience.
		When individuals are measured twice, those who run in front of an audience have faster running times than those who do not run in front of an audience.
		When individuals are matched by weight, those who run in front of an audience have slower running times than those who do not run in front of an audience.