### 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:

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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.

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.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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