Consider the following results for two samples randomly taken from two normal po
ID: 3228755 • Letter: C
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