A repeated-measures analysis of variance for a study comparing three treatment conditions with a sample of n = 20 participants, produces an F-ratio of F = 6.10. For this result, which of the following is the correct statistical decision?  ​ a. Fail to reject the null hypothesis with either a = .05 or a = .01 ​b. Reject the null hypothesis with a = .05 but not with a = .01 ​c. There is not enough information to determine the correct decision. d. Reject the null hypothesis with either a = .05 or a = .01

The following data were obtained from a repeated-measures study comparing three treatment conditions.a.  Use a repeated measures ANOVA with  α=.05 to determine whether there are significant mean differences among the three treatments.  (Hint: start by filling in the missing values on the table below). Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all steps and all parts of all answers.b.  Compute n2, the percentage of variance accounted for by the mean differences, to measure the size of the treatment effects.  Be sure to show all formulas with symbols (and plug in numbers), steps, processes and calculations for all parts of all answers.    Treatment I II III   P-totals           Person           A 3 1 2 P=   B 5 4 7 P=   C 2 3 5 P=   D 3 0 5 P=   E 4 5 8 P=     M= M= M=   N=   T= T= T=   G=   SS= SS= SS=   Ex2=

A math instructor claims that college women have more credit card debt than college men. She conducts a random sample of 38 college men and 32 college women, determines their average credit card debt, and obtains the following statistics in the picture: Test the claim that college women have more credit card debt than college men at the α = .05 level of significance. Assume unequal variances. a. Hypotheses: b. Test Statistic: c. Critical Value(s): d. Decision: e. Conclusion:  ​ ​​​​

In 1990, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephone company wants to perform a significance test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes. The hypotheses are:                                H0: μ = 9.4 minutes                                HA: μ ≠ 9.4 minutesSuppose that the results of the sample lead to non-rejection of the null hypothesis. Classify that conclusion as a Type I error, a Type II error, or a correct decision, if in fact the mean duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes. Choose the best asnwer below:    A. Neither B. Type I error C. Type II error D.No error

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…

An analysis of variance is used to evaluate the mean differences for a research study comparing four treatments with a separate sample of n = 8 in each treatment. If the data produce an F-ratio of F = 5.50, then which statistical decision is correct? ​a. Reject the null hypothesis with α = .05 but not with α = .01. ​b. Reject the null hypothesis with either α = .05 or α = .01. ​c. Fail to reject the null hypothesis with either α = .05 or α = .01. ​d. There is not enough information to make a statistical decision.

An analysis of variances produces dftotal = 29 and dfwithin = 27. For this analysis, how many treatment conditions are being compared?   a.  ​1   b.  ​2   c.  ​3   d.  ​Cannot be determined without additional information

Here is a link to a data set concerning treatment groups A and B. Before performing a t-test to determine if the two groups are different, researchers must first ascertain if the variance in the two groups is the same using an F test. Indicate whether the hypothesis below is the null or alternate hypothesis for the F test.  The variance in group A is equal to the variance in group B   Calculate the F statistic for this data set and report it in the box below, rounded to two decimal places.   Use the formula =(1-(f.dist(F, df1,df2,true) in Excel to calculate the P value for the F statistic, and report it in the box below. Do not use the rounded value for F when calculating the P value. Use the value in the spreadsheet that has not been rounded.   Based on this p value, would you recommend using a Student's t test or a Welch's t test to determine if the two treatment groups have different means? Enter either Student's or Welch's in the box below.

1. A random sample of enrollments from medical schools that specialize in research and from those that are noted for primary care is listed. At a=0.05, is there a difference in the means. Test the claim both by using critical value and p-value methods. Find the 95% confidence interval for the two means. Show your calculations in detail and interpret your findings. (Assume that samples are independent, that variables are normally distributed and that variances are unequal.) Primary care Research 474 577 605 663 783 605 427 728 783 467 670 414 546 474 371 107 813 443 565 696 442 587 293 277 692 694 277 419 662 555 527 320 884

Using traditional methods it takes 8.2 hours to receive a basic flying license. A new license training method using Computer Aided Instruction (CAI) has been proposed. A researcher used the technique on 26 students and observed that they had a mean of 8.0 hours with a variance of 2.89. Is there evidence at the 0.1 level that the technique reduces the training time? Assume the population distribution is approximately normal. Step 4 of 5: Determine the decision rule for rejecting the null hypothesis. Round your answer to three decimal places.