In 1990, the Average Duration of Long-Distance Telephone Calls Originating $$\begin{array}{l}\mathrm{H}_{0}: \mu=9.4 \text { minutes } \\\mathrm{H}_{\mathrm{a}}: \mu \neq 9.4 \text { minutes }\end{array}$$

question 5

Multiple Choice

In 1990, the average duration of long-distance telephone calls originating in one town was 9.4 minutes. A long-distance telephone company wants to perform a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1990 mean of 9.4 minutes.
The hypotheses are: $$\begin{array}{l}\mathrm{H}_{0}: \mu=9.4 \text { minutes } \\\mathrm{H}_{\mathrm{a}}: \mu \neq 9.4 \text { minutes }\end{array}$$
Explain the meaning of a correct decision.

• A) Failing to reject the hypothesis that \( \mu=9.4 \) minutes when in fact \( \mu=9.4 \) minutes OR concluding that \( \mu>9.4 \) minutes when in fact \( \mu>9.4 \) minutes
• B) Failing to reject the hypothesis that \( \mu=9.4 \) minutes when in fact \( \mu=9.4 \) minutes OR concluding that \( \mu \neq 9.4 \) minutes when in fact \( \mu \neq 9.4 \) minutes
• C) Failing to reject the hypothesis that \( \mu=9.4 \) minutes when in fact \( \mu \neq 9.4 \) minutes
• D) Concluding that \( \mu \neq 9.4 \) minutes when in fact \( \mu=9.4 \) minutes

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