When 45 people used a certain diet for one year, their weight losses had a standard deviation of 4.8 Ib. Use a 0.10 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 5.5 Ib, which appears to be the standard deviation for the amounts of weight loss with a different diet. Assume that a simple random sample is selected from a normally distributed population. What are the correct hypotheses for this test? H: o Ib H;: o Ib Calculate the value of the test statistic. O (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is (Round to three decimal places as needed.) What is the conclusion at the 0.10 level of significance? v the level of significance, V the null hypothesis. There V sufficient evidence to conclude that the sample is from a population with a standard deviation not equal to Since the P-value is V Ib

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**Hypothesis Test for Standard Deviation:**

When 45 people used a certain diet for one year, their weight losses had a standard deviation of 4.8 lb. Use a 0.10 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 5.5 lb, which appears to be the standard deviation for the amounts of weight loss with a different diet. Assume that a simple random sample is selected from a normally distributed population.

**What are the correct hypotheses for this test?**

- \( H_0: \sigma = \) [select] lb
- \( H_1: \sigma \neq \) [select] lb

**Calculate the value of the test statistic.**

[Input box for rounded value to two decimal places]

**Use technology to determine the P-value for the test statistic.**

The P-value is [input box for rounded value to three decimal places].

**What is the conclusion at the 0.10 level of significance?**

Since the P-value is [select] the level of significance, [select] the null hypothesis. There [select] sufficient evidence to conclude that the sample is from a population with a standard deviation not equal to [select] lb.
Transcribed Image Text:**Hypothesis Test for Standard Deviation:** When 45 people used a certain diet for one year, their weight losses had a standard deviation of 4.8 lb. Use a 0.10 significance level to test the claim that the amounts of weight loss have a standard deviation equal to 5.5 lb, which appears to be the standard deviation for the amounts of weight loss with a different diet. Assume that a simple random sample is selected from a normally distributed population. **What are the correct hypotheses for this test?** - \( H_0: \sigma = \) [select] lb - \( H_1: \sigma \neq \) [select] lb **Calculate the value of the test statistic.** [Input box for rounded value to two decimal places] **Use technology to determine the P-value for the test statistic.** The P-value is [input box for rounded value to three decimal places]. **What is the conclusion at the 0.10 level of significance?** Since the P-value is [select] the level of significance, [select] the null hypothesis. There [select] sufficient evidence to conclude that the sample is from a population with a standard deviation not equal to [select] lb.
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