[Solved] It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation $10. A random sample
Question: It is believed that the average amount of money spent per U.S. household per week on food is about $98, with standard deviation $10. A random sample of 100 households in a certain affluent community yields a mean weekly food budget of $100. We want to test the hypothesis that the mean weekly food budget for all households in this community is higher than the national average.
- Perform a significance test at the \(\alpha \) = 0.05 significance level. Follow the inference toolbox.
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Describe a Type I error in the context of this problem. What is the probability of making a Type I error?
(c) Describe a Type II error in the context of this problem. Give two ways to reduce the probability of a Type II error?
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