### Hypothesis Testing: Null and Alternative Hypotheses**Scenario:**In 1994, the average duration of long-distance telephone calls originating in one town was 7.1 minutes. A long-distance telephone company wants to conduct a hypothesis test to determine whether the average duration of long-distance phone calls has changed from the 1994 mean of 7.1 minutes.**Objective:**Determine the null and alternate hypotheses for this scenario.**Possible Choices:**1. \( H_0: \mu = 7.1 \) minutes, \( H_1: \mu > 7.1 \) minutes2. \( H_0: \mu = 7.1 \) minutes, \( H_1: \mu < 7.1 \) minutes3. \( H_0: \mu \neq 7.1 \) minutes, \( H_1: \mu = 7.1 \) minutes4. \( H_0: \mu = 7.1 \) minutes, \( H_1: \mu \neq 7.1 \) minutes5. \( H_0: \mu = 7.1 \) minutes, \( H_1: \mu < 7.1 \) minutes**Graphical Representation:**The given image presents a multiple-choice format where different hypothesis pairs are listed, with each pair consisting of a null hypothesis (\(H_0\)) and an alternate hypothesis (\(H_1\)).**Explanation of Setup:**- **Null Hypothesis (\(H_0\))**: Represents the status quo or the hypothesis that indicates no effect or no change. Here, it suggests that the average duration of the phone calls is still 7.1 minutes.- **Alternate Hypothesis (\(H_1\))**: Represents a change or an effect. This could either indicate that the average duration has increased, decreased, or simply changed in either direction.**Choose the Correct Pair:**For a two-tailed hypothesis test, where we are interested in any change from the historical mean (both increases and decreases),we use:- \( H_0: \mu = 7.1 \) minutes- \( H_1: \mu \neq 7.1 \) minutesHence, the fourth option listed in the multiple-choice setup should be selected.**Instructions:

Name: ### Hypothesis Testing: Null and Alternative Hypotheses**Scenario:**I
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Description: ### Hypothesis Testing: Null and Alternative Hypotheses**Scenario:**In 1994, the average duration of long-distance telephone calls originating in one town was 7.1 minutes. A long-distance telephone company wants to conduct a hypothesis test to deter

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Statistics

A hypothesis test Is to be performed. Determine the null and alternate hypotheses. In 1994, the average duration of long-distance telephone calls originating in one town was 7.1 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 1994 mean of 7.1 minutes.