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Assume that I have a sample mean of 23.4 with a correspondomg sample standard deviation =...

Assume that I have a sample mean of 23.4 with a correspondomg sample standard deviation = 5.47 from a sample size 43 If I am interested in seeing if the population mean is greater than 20, what would be the value of the test statistic? give 4 decimal places
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Answer #1

Answer: 4.0759

Explanation:

Assumption: Here, we are assuming that samples come from approximately normal distribution since n=43 > 30 so Central Limit Theorem applies.

Null Hypothesis, Ho:

Alternative Hypothesis, Ha:

Note: This corresponds to a one tailed ( right tailed ) t-test for Equality of Means.

Test Statistics: Under Ho,

  

  

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