The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a standard deviation of 0.05. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.05. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis H. and the alternative hypothesis H, that we would use for this test. H: O H₁:0 H O Р S

MATLAB: An Introduction with Applications
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The image shows a problem related to hypothesis testing from a statistics course. The text is as follows:

"The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a standard deviation of 0.05. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.05. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis \(H_0\) and the alternative hypothesis \(H_1\) that we would use for this test."

Below this text, there is an input area for entering hypotheses, with symbols available for selection, such as \(\mu, \bar{x}, p, \hat{p}, \sigma, s\) and inequality/equality symbols (\(=, \neq, <, \leq, >, \geq\)).

### Explanation of Task
- **Null Hypothesis \(H_0\):** The standard deviation of the number of accidents per day is equal to 0.05.
- **Alternative Hypothesis \(H_1\):** The standard deviation of the number of accidents per day is not equal to 0.05.

### Diagram Description
There is a selection box titled "Check" with options to save or submit assignments, indicating that this is an interactive task possibly done through an online education platform like McGraw Hill's Connect.

The text is primarily focused on setting up a statistical hypothesis test to verify or refute a claim by the company's actuaries regarding changes in the standard deviation of daily auto accidents.
Transcribed Image Text:The image shows a problem related to hypothesis testing from a statistics course. The text is as follows: "The records of a casualty insurance company show that, in the past, its clients have had a mean of 1.7 auto accidents per day with a standard deviation of 0.05. The actuaries of the company claim that the standard deviation of the number of accidents per day is no longer equal to 0.05. Suppose that we want to carry out a hypothesis test to see if there is support for the actuaries' claim. State the null hypothesis \(H_0\) and the alternative hypothesis \(H_1\) that we would use for this test." Below this text, there is an input area for entering hypotheses, with symbols available for selection, such as \(\mu, \bar{x}, p, \hat{p}, \sigma, s\) and inequality/equality symbols (\(=, \neq, <, \leq, >, \geq\)). ### Explanation of Task - **Null Hypothesis \(H_0\):** The standard deviation of the number of accidents per day is equal to 0.05. - **Alternative Hypothesis \(H_1\):** The standard deviation of the number of accidents per day is not equal to 0.05. ### Diagram Description There is a selection box titled "Check" with options to save or submit assignments, indicating that this is an interactive task possibly done through an online education platform like McGraw Hill's Connect. The text is primarily focused on setting up a statistical hypothesis test to verify or refute a claim by the company's actuaries regarding changes in the standard deviation of daily auto accidents.
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