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One sample has n a 15 scores with ss a 54 and a second sample has n 7 scores wit

ID: 3200334 • Letter: O

Question

One sample has n a 15 scores with ss a 54 and a second sample has n 7 scores with ss 26 What sthe pooled earancelot two a, 40/22 40/20 d 80/22 QUESTION 24 An independent-measures study produce sample means of 1 s 35 and M2 31 and a pooled variance of?5 For this O a. d- 1/25 O b, d 25/4 c, d a 5/4 d d 4/5 QUESTION 25 The results of an independent measures study produce atstatistic with df. 36. How many individual participated inthe entre stud? a. 74 O b. 73 O c. 37 O d 38 QUESTION 26 has a for treatment 1 and ss R 50 for 2. For these data, the An independent measures research study with n 6 subjects in each treatment SS 70 treatment, estimated standard error for sample mean differences equals a, 12 b.2 c. 4 1 points save d. 120

Explanation / Answer

23. Given that,

n1 = 15

SS1 = 54

n2 = 7

SS2 = 26

Then formula for pooled variance is,

Sp2 = SS1 + SS2 / n1+n2-2

= 54 + 26 / 15+7-2

= 80/20

Option b) is correct.

25. Here we have given that an independent measures study produce a t statistic with df = 36 and we have to find n i.e. number of individuals participated in the study.

And we know that in the independent measures study df = n-2

Plug the value of df and find n.

36 = n - 2

n = 36 + 2 = 38

Option d) is correct.

26. Given that,

n = 6

SS = 70

SS = 50

The formula for Standard error for sample mean difference is,

SE =  square.root[(sd2/na) + (sd2/nb)]

where sd2 = SS/n-1

na = 6

nb = 6

sd2 = SS / n-1 = 70 / 6-1 = 70/5 = 14

sd2 = SS/n-1 = 50 / 6-1 = 50/5 = 10

SE = sqrt [(14 / 6) + (10/6)] = sqrt [2.33 + 1.67] = sqrt(4) = 2

Option b) is correct.

27. how much difference there is between the two treatments

Option a) is correct.

Both Cohen’s d and r2 are measures of effect size.

29. Given that,

n = 10

ANd we have to find sets of sample data would produce the largest value for an independent-measures t statistic.

For t-statistic to be big when comparing 2 means, you want to have a big difference between the 2 sample mean in the numerator and relatively small standard deviation in the denominator.

Here option d) is correct.

The difference between the two mean is 20. The standard deviation is also smaller than answer choice a.