Two independent random samples have been selected, 100 observations from population 1 and 120 from population 2. Sample means x1 = 60 and x2 = 50 were obtained. From previous experience with these populations, it is known that the variances are o,? = 64 and o,? = 100. Test the claim that the difference in the means of the 2 populations is equal to 5. Use a=0.02. (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')

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Two independent random samples have been selected, 100 observations from
population 1 and 120 from population 2. Sample means x1 = 60 and x2 = 50 were
obtained. From previous experience with these populations, it is known that the
variances are o,? = 64 and o,? = 100. Test the claim that the difference in the means
of the 2 populations is equal to 5. Use a=0.02.
(1) Critical Values (Round off to 3 decimal places):
(2) Test Statistic (Round off to 2 decimal places):
(3) Conclusion:
(Type 'Reject HO' or 'Fail to Reject HO')
Transcribed Image Text:Two independent random samples have been selected, 100 observations from population 1 and 120 from population 2. Sample means x1 = 60 and x2 = 50 were obtained. From previous experience with these populations, it is known that the variances are o,? = 64 and o,? = 100. Test the claim that the difference in the means of the 2 populations is equal to 5. Use a=0.02. (1) Critical Values (Round off to 3 decimal places): (2) Test Statistic (Round off to 2 decimal places): (3) Conclusion: (Type 'Reject HO' or 'Fail to Reject HO')
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