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The confidence interval on estimating the heights of students is given as (5.4, 6.8). Find the sample mean of the confidence interval. A.6.8B.6.1C. 5.4D. 0.7
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The confidence interval on estimating the heights of students is given as (5.4, 6.8). Find the sample mean of the confidence interval. A.6.8B.6.1C. 5.4D. 0.7

User Michal Krasny
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1 Answer

18 votes
18 votes

Solution

- The formula for finding the sample mean from the confidence interval is given below


\begin{gathered} \text{Given the Confidence interval,} \\ (A_1,A_2) \\ \\ \therefore\operatorname{mean}=(A_1+A_2)/(2) \end{gathered}

- Thus, we can find the sample means as follows


\begin{gathered} A_1=5.4 \\ A_2=6.8 \\ \\ \therefore\operatorname{mean}=(5.4+6.8)/(2) \\ \\ \operatorname{mean}=(12.2)/(2) \\ \\ \operatorname{mean}=6.1 \end{gathered}

Final Answer

The sample mean is 6.1 (OPTION B)

User Groosha
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