You wish to te t the following claim (Ha) at a eignificance level of 0-10. Tou o

Question

You wish to te t the following claim (Ha) at a eignificance level of 0-10. Tou obtain a sample of size n 74 with a mean of M 03.1 and a tandard deviation of SD 15.1 ftom the first population. You obtain a sample of size n 70 with a mean of M09.3 and a standard deviation of SD2 8.1 from the second population. What is the critical value for this test? For this calculation, use the conservative under-estimate for the degrees of freedom as mentioned in the textbook. (Report answer accurate to three decimal places) critical value- What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistc- The test statistic is. O in the eritical region O not in the critical regiorn

Explanation / 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 = 0
HA : 1 - 2 < 0
(without pooled variances)

Hypothesis test results:

Hence,

Critical value = -1.294

Test statistic = -3.093

The test statistic is in the critical region.

Difference Sample Diff. Std. Err. DF T-Stat P-value 1 - 2 -6.2 2.0046201 113.09539 -3.0928553 0.0012

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