Given: independent samples with Sx^= Sy = 10.

Given: independent samples with Sx^= Sy = 10.
(a) Calculate Sx – y from formula 14. 2b, assuming nx = ny = 30. (b) Recalculate Sx-y,assuming nx=15 and ny=45.(c)Compare the two values of Sx – y. What principle does this outcome illustrate

You are given the following scores from two randomly drawn independent samples:
X: 6,7,8,8,11 Y: 3,4,4,7,7
State formally the hypotheses necessary to conduct a non directional test of no difference between the two population means. (b) Complete the test at the .05 abd .01 levels of significance, and state your conclusions.
14
In reference to Problem 13, what should the sample size be if the psychologist feels that: (a) She should choose power = .80? (b) Is it important to know whether the difference between the means is .15 grade point (or More) and power = .95?
Writer Question # 13 Information is needed for Question 14.
A psychologist wonders whether mid semester warning notices affect performance. She decides to select a sample of delinquent students and, at random, to send such notices to half of them and no notices to the other half. Experience suggest that among such delinquent students, o GPA = .30. She decides to adopt a = .05 and power = .95. If the difference between the warned and unwarned students is as great as .075 grade points, she would want to know it. (a) State the null hypothesis and th alternative hypothesis for a two – tailed test. (b) What should the size of the sample be to test this null hypothesis? Use Cohen’s power curves.
Page 257 Problem # 18
Professor Smith wishes to compare the performance of students in her class on multiple – choice and fill – in – the – blank exams. She randomly chooses half the class for each test. If each test has a standard deviation of 10, what is the probability of detecting a true difference (µ x-µy of 5 points with a two-tailed test, a= .05,when the

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