Question

Question 1 Your answer is partially correct. Try again. Consider the hypothesis test Ho: M1 = 42 against H M + H2. Suppose that sample sizes are nj = 15 and 12 = 15, that Ij = 4.6 and 12 = 7.9 and that si = 4 and 2 = 6.22. Assume that oí = oz and that the data are drawn from normal distributions. Use a = 0.05. (a) Test the hypothesis and find the P-value. (b) What is the power of the test in part (a) for a true difference in means of 3? (c) Assuming equal sample sizes, what sample size should be used to obtain B = 0.05 if the true difference in means is -27 Assume that a= 0.05. (a) The null hypothesis To.035 Tis rejected. The P-value is to four decimal places (e.g. 98.7654). Round your answer TT0.59 (b) The power is places (e.g. 98.76). J. Round your answer to two decimal Round your answer to the nearest (c)n = n2 = integer.

Answer 1

(a) P-value = 0.0004

(b) 0.94

(c) 35

1	2
4.6	7.9	mean
2	2.493992783	std. dev.
15	15	n
	28	df
	-3.3000	difference (1 - 2)
	5.1100	pooled variance
	2.2605	pooled std. dev.
	0.8254	standard error of difference
	0	hypothesized difference
	-3.998	t
	.0004	p-value (two-tailed)

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