Consider the following data from a repeated-measures design. You want to use a repeated-measures t test to test the null hypothesis H0: µD = 0 (the null hypothesis states that the mean difference for the general population is zero). The data consist of five observations, each with two measurements, A and B, taken before and after a treatment. Assume the population of the differences in these measurements are normally distributed. Observation A B 1 1 3 2 3 4 3 5 7 4 4 4 5 8 9 For a repeated-measures t test, you need to calculate the t statistic, which requires you to calculate s and SMD· What is the estimated standard error of the mean difference scores? (Note: For best results, retain at least six decimal places from your calculation of s.) (round your answer to this question to four decimals)

Using the following table: 1.  Determine a hypothesis to test the relationship between students enrolled 12 months or less and sleep of students, use descriptive statistics to describe the variables both numerically and graphically, identify the appropriate type of statistical test using alpha = 0.05, perform the statistical test (please show steps). ID Months enrolled Sleep 1 12 360 2 6 400 3 8 420 4 10 440 5 48 540 6 48 480 7 36 320 8 32 440 9 6 300 10 22 420 11 15 500 12 20 400 13 11 440 14 18 300 15 29 360 16 13 480 17 49 410 18 16 430 19 24 330 20 8 480

You wish to test the following claim (HaHa) at a significance level of α=0.05α=0.05.      Ho:μ=63.7Ho:μ=63.7      Ha:μ<63.7Ha:μ<63.7You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: Column A Column B Column C Column D 66.7 56.1 82.1 74.8 60.4 57.5 55.2 52.4 74.8 56.1 83.6 98 49.5 33.7 83.6 44.9 27.3 29.8 39 92.9 42.2 29.8 25.8 42.7 64.5 69.7 58 38.4 76.6 50.9 57.5 69.7 47 43.9 65 67.8 What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =

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…