The results of sampling independent populations: Question 13 (Mandatory) (8 poin

Question

The results of sampling independent populations:

Question 13 (Mandatory) (8 points) The results of sampling independent populations: sample 1 from population 1 mean 1000 sample standard deviation 400 sample size 50 sample 2 from population 2 mean 1250 sample standard deviation 500 sample size 75 Test the HO: population 1 mean = population2 mean at ?-0.01. HA: population I mean * population2 mean. This is a two-tailed test with both a negative lower critical value and a positive upper critical value. Separate variances is assumed. Select an Option -- Pvalue 0.0012. H0 rejected. Conclude difference of means # 0. Pvalue 0.0025. HO rejected. Conclude difference of means 0. Pvalue 0.9988. HO not rejected. Conclude difference of means 0 is plausible

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,

P - value = 0.0025, Reject Ho

Option B is correct.

Difference Sample Diff. Std. Err. DF T-Stat P-value ?1 - ?2 -250 80.829038 118.85522 -3.0929479 0.0025

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