# There are 31 degrees of freedom in the numerator and 31 degrees of freedom in the denominator. For the alternative hypothesis

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The given information is available for two samples selected from independent normally distributed populations.

Population A: n1 = 32,  sample standard deviation = 209.4
Population B: n2 = 32,sample standard deviation  = 120.3

In testing the null hypothesis Ho: sigma1^2 = sigma2^2, the value of FStat is 1.74. There are 31 degrees of freedom in the numerator and 31 degrees of freedom in the denominator. For the alternative hypothesis H: 67 103at the a= 0.01 level of significance, the upper tail critical value is 2.58. What is the correct statistical decision?

A. Reject Ho. There is sufficient evidence that the population variances are different.
B. Reject Ho. There is insufficient evidence that the population variances are different.
C. Do not reject Ho. There is sufficient evidence that the population variances are different.
D. Do not reject Ho. There is insufficient evidence that the population variances are different. 