Construct the Indicated Confidence Interval for the Difference Between the Two

question 54

Multiple Choice

Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent and that they have been randomly selected.
-Two types of flares are tested for their burning times (in minutes) and sample results are given below. $$\begin{array} { l l l } \text { Brand } X & & \text { Brand } Y \\\hline n =35& & \frac { n } { n } = 40 \\\bar { x } = 19.4 & & \bar { x } = 15.1 \\\mathrm {~s} = 1.4 & & \mathrm {~s} = 0.8\end{array}$$
Construct a $95 \%$ confidence interval for the differences $\mu _ { X } - \mu _ { Y }$ based on the sample data.

• A) \(3.6 < \mu _ { X } - \mu _ { Y } < 5.0\)
• B) \(3.8 < \mu _ { X } - \mu Y < 4.8\)
• C) \(3.5 < \mu X - \mu Y < 5.1\)
• D) \(3.2 < \mu X - \mu Y < 5.4\)

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The ability or entitlement to dictate actions, decide on matters, and demand adherence.

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The act of making a choice or coming to a conclusion.

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A financial ratio that measures how effectively a company uses its assets to generate sales revenue; a higher turnover indicates better performance.

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The ratio of net income to revenue, indicating how much profit is generated per dollar of sales.