Suppose we have taken independent, random samples of sizes n 1 = 8 and n 2 = 8 f
ID: 3355880 • Letter: S
Question
Suppose we have taken independent, random samples of sizes n1 = 8 and n2 = 8 from two normally distributed populations having means µ1 and µ2, and suppose we obtain , , s1 = 6, s2 = 6. Use critical values to test the null hypothesis H0: µ1 µ2 < 27 versus the alternative hypothesis Ha: µ1 µ2 > 27 by setting equal to .10, .05, .01 and .001. Using the equal variance procedure, how much evidence is there that the difference between µ1 and µ2 exceeds 27? (Round your answer to 3 decimal places.)
1Explanation / Answer
The statistical software output for this problem is:
Two sample T summary hypothesis test:
1 : Mean of Population 1
2 : Mean of Population 2
1 - 2 : Difference between two means
H0 : 1 - 2 = 27
HA : 1 - 2 > 27
(without pooled variances)
Hypothesis test results:
Hence,
t = 3.333
Reject; Extremely strong
Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 37 3 14 3.3333333 0.0025Related Questions
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