Math / Data & Statistics

Questionto conclude that the fund has moderate risk return for a certain fund. The standard deviation of the rate of return is computed to be $3.98 \%$ . Is there suffic distributed.
What are the correct hypotheses for this test? The null hypothesis is $\mathrm{H}_{0}: \sigma=0.06$ . The alternative hypothesis is $\mathrm{H}_{1}: \sigma<0.06$ . Calculate the value of the test statistic. $\chi^{2}=11.880$ (Round to three decimal places as needed.) Use technology to determine the P-value for the test statistic. The $P$ -value is $\square$ $\square$ . (Round to three decimal places as needed.) Clear all

Studdy Solution

STEP 1

1. The sample standard deviation of the fund's rate of return is $3.98\%$ .
2. The null hypothesis is $H_0: \sigma = 0.06$ .
3. The alternative hypothesis is $H_1: \sigma < 0.06$ .
4. The test statistic calculated is $\chi^2 = 11.880$ .
5. The test is a chi-square test for the standard deviation.
6. The degrees of freedom for the chi-square distribution need to be known or calculated based on sample size.

STEP 2

1. Identify the degrees of freedom.
2. Use the chi-square distribution to find the P-value.
3. Interpret the P-value.

STEP 3

Determine the degrees of freedom, $df$ , which is typically $n - 1$ , where $n$ is the sample size. Assume $n$ is known or provided.

STEP 4

If $n$ is not provided, please provide the sample size to calculate degrees of freedom.

STEP 5

Using the chi-square distribution table or technology, find the P-value for $\chi^2 = 11.880$ with the calculated degrees of freedom.

STEP 6

Interpret the P-value: If the P-value is less than the significance level (commonly 0.05), reject the null hypothesis. Otherwise, do not reject the null hypothesis.
Please provide the sample size to proceed with calculating the P-value.

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Studdy Solution

STEP 1

STEP 2

1. Identify the degrees of freedom.
2. Use the chi-square distribution to find the P-value.
3. Interpret the P-value.

STEP 3

Determine the degrees of freedom, $df$ , which is typically $n - 1$ , where $n$ is the sample size. Assume $n$ is known or provided.

STEP 4

If $n$ is not provided, please provide the sample size to calculate degrees of freedom.

STEP 5

Using the chi-square distribution table or technology, find the P-value for $\chi^2 = 11.880$ with the calculated degrees of freedom.

STEP 6

Interpret the P-value: If the P-value is less than the significance level (commonly 0.05), reject the null hypothesis. Otherwise, do not reject the null hypothesis.
Please provide the sample size to proceed with calculating the P-value.

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Studdy Solution

STEP 1

STEP 2

1. Identify the degrees of freedom.2. Use the chi-square distribution to find the P-value.3. Interpret the P-value.

STEP 3

Determine the degrees of freedom, df df df, which is typically n−1 n - 1 n−1, where n n n is the sample size. Assume n n n is known or provided.

STEP 4

If n n n is not provided, please provide the sample size to calculate degrees of freedom.

STEP 5

Using the chi-square distribution table or technology, find the P-value for χ2=11.880\chi^2 = 11.880χ2=11.880 with the calculated degrees of freedom.

STEP 6

Interpret the P-value: If the P-value is less than the significance level (commonly 0.05), reject the null hypothesis. Otherwise, do not reject the null hypothesis. Please provide the sample size to proceed with calculating the P-value.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

1. Identify the degrees of freedom.
2. Use the chi-square distribution to find the P-value.
3. Interpret the P-value.

Determine the degrees of freedom, $df$ , which is typically $n - 1$ , where $n$ is the sample size. Assume $n$ is known or provided.

If $n$ is not provided, please provide the sample size to calculate degrees of freedom.

Using the chi-square distribution table or technology, find the P-value for $\chi^2 = 11.880$ with the calculated degrees of freedom.

Interpret the P-value: If the P-value is less than the significance level (commonly 0.05), reject the null hypothesis. Otherwise, do not reject the null hypothesis.
Please provide the sample size to proceed with calculating the P-value.