Question

A researcher wishes to test the following hypotheses: H 0 : μ ≤ 10 H A : μ > 10 Based on 54 independent observations, he calculates a sample mean of 11 and a sample standard deviation of 4. Calculate the T-score he should use for his test statistic. Report your answer to at least three decimal places, e.g., 0.123.

Answer #1

**Solution
:**

**A researcher wishes to test
the following hypotheses: H _{0} : μ ≤ 10 vs H_{A} :
μ > 10 based on 54 independent observations, he calculates a
sample mean of 11 and a sample standard deviation of 4, we have to
calculate the T-score that he should use for his test
statistic.**

**The appropriate hypothesis
is given as,**

**The appropriate test
statistic is given as,**

** **

**From the data given , we have the following information
:**

**Thus , the value of the test statistic is given as
,**

**Thus, the T - score that the
researcher should use for his test statistic is = 1.837
................ (Ans)**

**_________________________**

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