For an assignment tomorrow, I need to test a hypothesis about the equality of two population means. The null hypothesis states that the means are equal. while the alternative states that they're different. The sample size (n) is 200 and the level of significance is 0.02. How would I calculate;The appropriate testing statistic and sampling distributionThe critical values that seperate the rejection and nonrejection region

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Asked Oct 10, 2019
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For an assignment tomorrow, I need to test a hypothesis about the equality of two population means. The null hypothesis states that the means are equal. while the alternative states that they're different. The sample size (n) is 200 and the level of significance is 0.02. How would I calculate;

  • The appropriate testing statistic and sampling distribution
  • The critical values that seperate the rejection and nonrejection region
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Expert Answer

Step 1

According to the provided information, the sample size, n is 200 and the level of significance is 0.02.

The null and the alternative hypotheses are,

Null hypothesis: The means are equal.

Alternative hypothesis: The means are different.

Step 2

The appropriate test statistic to use depends whether the population standard deviation is known or not. If the population standard deviation is not known, then it’s appropriate to use two sample t-test.

The test statistic value is calculated as:

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Step 3

The sampling distribution can be defined as the probability distribution of the statistics, which is defined based on the random sample selected from a large population...

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