The following data were obtained in a study using three separate samples to compare three different treatments. Conduct an analysis of variance with α=0.05 to determine whether these data are sufficient to conclude that there are significant differences between the treatments. Treatment A Treatment B Treatment C 23 19 22 22 21 24 22 19 26 21 21 24 F-ratio =  p-value =  Conclusion: These data do not provide evidence of a difference between the treatments There is a significant difference between treatments η2=η2=    The above data was changed by increasing the variance within each sample (note below how the data sets have changed). Before you begin the calculation, predict how the changes in the data should influence the outcome of the analysis. That is, how will the F-ratio for these data compare with the F-ratio from above? Treatment A Treatment B Treatment C 24 19 21 22 21 24 22 18 27 20 22 24 F-ratio =  p-value =  Conclusion: There is a significant difference between treatments These data do not provide evidence of a difference between the treatments η2=

The Airline Passenger Association studied the relationship between the number of passengers on a particular flight and the cost of the flight. It seems logical that more passengers on the flight will result in more weight and more luaggage, which in turn will result in higher fuel costs. For a sample of 13 flights, the correlation between the number of passengers and total fuel cost was .37. Is it reasonable to conclude that there is positive association in the population between the two variables? H0: p≤0 Ha: p >0 Use the 5% significant level, what is the p-value?____________       What is your decision regarding H0 or the hull hypothesis? Reject or Do not Reject______________     Draw a conclusion. Specifically, what does this indicate about the question?

The following data summarize the results from an independent-measures study comparing three treatment conditions.                                                                              Treatment                                                                     I               II            III                   N = 12                                                                     3              5            6                    G = 60                                                                     5              5           10                 ∑X2 = 392                                                                     3              1           10                                                                     1              5            6                                                                  x̅1 = 3        x̅2 = 4      x̅3 = 8                                                                 T1 = 12      T2 = 16    T3 =32…

6) The following data summarize the results from an independent-measures study comparing three treatment conditions. Treatment II 3. 6. N= 12 10 G = 60 1 10 EX = 392 1 5. 6. M = 3 M = 4 M= 8 T= 12 T= 16 T= 32 SS = 8 SS = 12 SS = 16 a) Use an ANOVA with a = .05 to determine whether there are any significant differences among the three treatment means. b) Calculate n² to measure the effect size for this study. c) Write a sentence demonstrating how a research report would present the results of the hypothesis test and the measure of effect size. 3.

5.32 Fuel efficiency of manual and automatic cars, Part I: Do these data provide strong evidence of a difference between the average fuel efficiency of cars with manual and automatic transmissions in terms of their average city mileage? Assume that conditions for inference are satisfied.   City MPG, Automatic City MPG, Manual Mean 16.12 19.85 SD 3.58 4.51 n 26 26 The test statistic is:The p-value is:

The following data represent the results from 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 independent-measures t test with α = .05 to determine whether there is a significant mean difference between the two treatments. (Use three decimal places; subtract MIIII from MII.) t-critical = ±   t =       t Distribution Degrees of Freedom = 21             -3.0-2.0-1.00.01.02.03.0t   Conclusion: Fail to reject the null hypothesis; there are significant differences between the two treatments.   Reject the null hypothesis; there are significant differences between the two treatments.   Fail to reject the null hypothesis; there are no significant differences between the two treatments.   Reject the null hypothesis; there are…

The following data represent the results from an independent-measures experiment comparing three treatment conditions. Conduct an analysis of variance with α=0.05α=0.05 to determine whether these data are sufficient to conclude that there are significant differences in the means for the treatments. Treatment A Treatment B Treatment C 16 16 17 15 16 21 15 15 19 15 19 23 14 14 20 F-ratio (F-test statistic) = p-value = Conclusion: There is a significant correlation in the treatments I was able to show the treatments are independent The data does not provide evidence of a significant correlation for the treatments The data does not provide evidence of a significant difference in the means for the treatments I was unable to show the treatments are independent There is a significant difference in the means for the treatments   The results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means.…

The following data represent the results from an independent-measures experiment comparing three treatment conditions. Conduct an analysis of variance with α=0.05 to determine whether these data are sufficient to conclude that there are significant differences between the treatments. Treatment A Treatment B Treatment C 8 10 16 10 9 12 9 10 14 9 8 15 9 13 13 F-ratio = p-value = Conclusion: There is a significant difference between treatments These data do not provide evidence of a difference between the treatments   The results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means. For the following data, the scores are the same as above except that the difference between treatments was reduced by moving the third treatment closer to the other two samples. In particular, 3 points have been subtracted from each score in the third sample.Before you begin the calculation, predict how the…

Prove the following

The following data represent the results from an independent-measures experiment comparing three treatment conditions. Conduct an analysis of variance with α=0.05α=0.05 to determine whether these data are sufficient to conclude that there are significant differences in the means for the treatments. Treatment A Treatment B Treatment C 6 4 13 4 6 11 4 9 7 6 6 10 5 5 9 F-ratio (F-test statistic) = p-value = Conclusion: The data does not provide evidence of a significant difference in the means for the treatments There is a significant difference in the means for the treatments I was unable to show the treatments are independent The data does not provide evidence of a significant correlation for the treatments I was able to show the treatments are independent There is a significant correlation in the treatments   The results obtained above were primarily due to the mean for the third treatment being noticeably different from the other two sample means. For the…