Aplia, 1 term Printed Access Card for Gravetter/Wallnau's Essentials of Statistics for the Behavioral Sciences, 8th
8th Edition
ISBN: 9781285079707
Author: Frederick J Gravetter, Larry B. Wallnau
Publisher: Cengage Learning
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Chapter 12.6, Problem 2LC
a.
To determine
To evaluate: The significance of the mean difference between the treatments 1 and 2 using Tukey’s HSD test with
b.
To determine
To evaluate: The significance of the mean difference between the treatments 1 and 2 using Scheffe’s test with
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Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of
compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the
treatments (cars types). Using the hypothetical data provided below, test whether the mean
pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = 5%.
Compact cars
Midsize cars
Full-size cars
643
469
484
655
427
456
702
525
402
Mean
666.67
473.67
447.33
Standard deviation
31.18
49.17
41.68
The data below are from a study comparing three different treatment conditions:
Treatment 1
Treatment 2
Treatment 3
0
1
6
1
4
5
0
1
6
3
2
3
T = 4
T = 8
T = 20
SS = 6
SS = 6
SS = 6
N = 12 G = 32 ƩX2= 138
Conduct a single-factor independent-measures ANOVA to test the hypothesis that there are significant differences in the mean scores among the three treatment conditions. Use α = .01.
Your decision is
Fail to reject the null hypothesis and conclude that there there is at least one significant mean difference
Fail to reject the null hypothesis and conclude that there are no significant differences among the three treatment conditions
Reject the null hypothesis and conclude that there is at least one significant mean difference
Reject the null hypothesis and conclude that there are no significant differences in mean scores among the treatment conditions
b. Calculate η2 (eta squared) as a measure of the…
The data below are from a study comparing three different treatment conditions:
Treatment 1
Treatment 2
Treatment 3
0
1
6
1
4
5
0
1
6
3
2
3
T = 4
T = 8
T = 20
SS = 6
SS = 6
SS = 6
N = 12 G = 32 ƩX2= 138
Conduct a single-factor independent-measures ANOVA to test the hypothesis that there are significant differences in the mean scores among the three treatment conditions. Use α = .01.
a. The alternative hypothesis is
Chapter 12 Solutions
Aplia, 1 term Printed Access Card for Gravetter/Wallnau's Essentials of Statistics for the Behavioral Sciences, 8th
Ch. 12.2 - Explain the difference between the testwise alpha...Ch. 12.2 - Prob. 2LCCh. 12.2 - Prob. 3LCCh. 12.2 - Prob. 4LCCh. 12.3 - Calculate SStotal, SSbetween, and SSwithin for the...Ch. 12.3 - A researcher reports an F-ratio with dfbetween = 3...Ch. 12.3 - Prob. 3LCCh. 12.4 - A researcher obtains F = 4.10 with df = 2, 14. Is...Ch. 12.4 - For an ANOVA evaluating the mean differences among...Ch. 12.5 - A researcher used ANOVA and computed F = 4.25 for...
Ch. 12.5 - Prob. 2LCCh. 12.6 - With k = 2 treatments, are post hoc tests...Ch. 12.6 - Prob. 2LCCh. 12.7 - A researcher uses an independent-measures t test...Ch. 12.7 - An ANOVA produces an F-ratio with df = 1, 34....Ch. 12 - Explain why the F-ratio is expected to be near...Ch. 12 - Several factors influence the size of the F-ratio....Ch. 12 - Why should you use ANOVA instead of several t...Ch. 12 - Posttests are done after an ANOVA. a. What is the...Ch. 12 - An independent-measures study comparing four...Ch. 12 - The following data summarize the results from an...Ch. 12 - For the preceding problem you should find that...Ch. 12 - The following data summarize the results from an...Ch. 12 - For the preceding problem you should find that...Ch. 12 - The following data summarize the results from an...Ch. 12 - Prob. 11PCh. 12 - The following values are from an...Ch. 12 - There is some evidence that high school students...Ch. 12 - A researcher reports an F-ratio with df = 2. 27...Ch. 12 - A research report from an independent-measures...Ch. 12 - The following summary table presents the results...Ch. 12 - A pharmaceutical company has developed a drug that...Ch. 12 - A developmental psychologist is examining the...Ch. 12 - The following data were obtained from an...Ch. 12 - The following values summarize the results from an...Ch. 12 - The following data are from an...Ch. 12 - One possible explanation for why some birds...Ch. 12 - There is some research indicating that college...Ch. 12 - New research suggests that watching television,...
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- Suppose the National Transportation Safety Board (NTSB) wants to examine the safety of compact cars, midsize cars, and full-size cars. It collects a sample of three for each of the treatments (cars types). Using the hypothetical data provided below, test whether the mean pressure applied to the driver’s head during a crash test is equal for each types of car. Use α = 5%. Compact Midsize Full-size 643 655 702 680 672 469 427 525 495 483 484 465 402 476 435 State the null and alternate hypothesis for the data. Given the results, what will be the conclusion of the team?arrow_forwardA research study has two samples, each with n = 6, and the two experimental treatments used in each sample are being compared using an independent-measures t statistic. What is the df value for the t statistic in this study? a. df = 14 b. df = 12 c. df = 11 d. df = 10arrow_forwardA U.S. Food Survey showed that Americans routinely eat beef in their diet. Suppose that in a study of 49 consumers in Illinois and 64 consumers in Texas the following results were obtained from two samples regarding average yearly beef consumption: Illinois Texas = 49 = 64 = 54.1lb = 60.4lb S1 = 7.0 S2 = 8.0 What is the appropriate Test statistic? Name it and Compute its value.arrow_forward
- In a test of h0 u=100 against ha :u>100 the sample data yielded the test statistic z=2.17 find and interpret the p-valuearrow_forwardAre seatbelts effective at saving lives? We wish to examine whether or not the use of seatbelts reduces fatalities at the a = 0.01 level of significance. Let pN represent the proportion of non-seatbelt wearing passengers who were involved in a crash and died and py represent the proportion of seatbelt wearing passengers who were involved in a crash and died. NOTE: The data used in this study were obtained through observational study...no experiment was conducted! Which would be correct hypotheses for this test? O Ho:PN = pY, H1:PN > pY Ho: PN = pY, H,:PN Py In a random sample of 321 non-seatbelt wearing passengers involved in a car crash, 30 were killed. In a random sample of 492 seatbelt wearing passengers involved in a car crash, 13 were killed. Find the test statistic (2 decimal places): Give the P-value (4 decimal places - if less than 0.001 answer 0): Which is the correct result: Reject the Null Hypothesis O Do not Reject the Null Hypothesis Which would be the appropriate…arrow_forwardA normal population has a mean of ? = 7. After receiving a treatment, a sample of n = 4 scores yields the following data: 4, 8, 4, 4. Is there evidence for a significant treatment effect? Use an alpha level of .05.arrow_forward
- Two samples, each with n = 9 scores, produce an independent-measures t statistic of t = +2.00. If the effect size is measured using r2, what is the value of r2? a. r2 = 0.33 b. r2 = 0.20 c. r2 = 0.25 d. r2 = 0.50arrow_forwardThe following data represent the results from an independent-measures study comparing two treatment conditions. Use an independent-measures t test with α = .05 to determine whether there is a significant mean difference between the two treatments. Use an ANOVA with α = .05 to determine whether there is a significant mean difference between the two treatments. Treatment I II 8 2 N = 10 7 3 G = 50 6 3 ΣX2 = 306 5 5 9 2 M = 7 T = 35 M = 3 T = 15 SS = 10 SS = 6arrow_forwardThe following data represent the results of an independent-measures study comparing two treatment conditions. Treatment I II 10 7 N = 16 8 4 G = 120 7 9 ∑X² = 1036 9 3 13 7 7 6 6 10 12 2 M = 9.000 M = 6.000 T = 72 T = 48 SS = 44 SS = 56 Use an ANOVA with α = .05 to determine whether there is a significant mean difference between the two treatments. You should find that F = t². (Round to two decimal places where needed.) Source SS df MS F Fcriticalcritical Between treatments Within treatments Totalarrow_forward
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