Lower critical value and a positive upper critical value

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The result 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 H0: population1 mean = population2 mean at ?levelofsignificance=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

Choose best option:

(a) Test statistic of 65.28 > Critical value of -2.36. H0 is not rejected. Conclude difference of means greater = 0.

(b) Test statistic of -3.09 < Critical value of -1.29. H0 rejected. Conclude difference of means NOT equal = 0.

(c) Test statistic of -65.28 > Critical value of -1.29. H0 rejected. Conclude difference of means = 0.

(d) Test statistic of -3.09 > Critical value of -2.62. H0 rejected. Conclude difference of means NOT equal = 0.

(Note to Tutor: Please share step by step / clear instructions on how you arrived at the solution)

Reference no: EM132483662

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