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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

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 H0: population1 mean = population2 mean at = 0.01. HA: population1 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 one of the following answers:

  1. Test statistic of -3.09 < Critical value of -1.29. H0 rejected. Conclude difference of means 0.
  2. Test statistic of 65.28 > Critical value of -2.36. H0 is not rejected. Conclude difference of means = 0.
  3. Test statistic of -3.09 < Crucial value of -2.62. H0 rejected. Conclude difference of means 0.
  4. Test statistic of -65.28 > Critical value of -1.29. H0 rejected. Conclude difference of means = 0.

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