Consider the following results for two samples randomly taken from two normal po

Question

Consider the following results for two samples randomly taken from two normal populations with equal variances. At alpha = 0.05 is there conclusive evidence that one population has a larger mean? There is enough evidence that sample 1 has a larger mean. There is enough evidence that sample 2 has a larger mean There is not enough evidence that either one of population has a larger mean than the other. There is enough evidence that the mean amounts from the two populations are the same. There is enough evidence that either one of population has a larger mean than the other.

Explanation / Answer

The statistical software output for this problem is:

Two sample Z hypothesis test:
1 : Mean of population 1 (Std. dev. = 1.2)
2 : Mean of population 2 (Std. dev. = 0.8)
1 - 2 : Difference between two means
H0 : 1 - 2 = 0
HA : 1 - 2 > 0

Hypothesis test results:

Since p - value is less than alpha, reject Ho.

Hence.

Option A is correct.

Difference n1 n2 Sample mean Std. err. Z-stat P-value 1 - 2 28 35 4 0.26403463 15.149528 <0.0001

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