rchers published a study that investigated the degree to which a country's households waste food. The researchers used data from 3,270 households to measure the percentage of food acquired that is wasted per household. For this sample of 3,270 households, the mean amount of food wasted is 34.5% with a standard deviation of 16.4%. Complete parts a and b.
rchers published a study that investigated the degree to which a country's households waste food. The researchers used data from 3,270 households to measure the percentage of food acquired that is wasted per household. For this sample of 3,270 households, the mean amount of food wasted is 34.5% with a standard deviation of 16.4%. Complete parts a and b.
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Researchers published a study that investigated the degree to which a country's households waste food. The researchers used data from 3,270 households to measure the percentage of food acquired that is wasted per household. For this sample of 3,270 households, the mean amount of food wasted is 34.5% with a standard deviation of 16.4%. Complete parts a and b.
![### Study on Household Food Waste
Researchers conducted a study to investigate the degree to which households in a country waste food. Data from 3,270 households was analyzed to measure the percentage of acquired food that is wasted. For this sample, the mean amount of food wasted was 34.5% with a standard deviation of 16.4%.
Participants are asked to complete the following parts:
#### a. Calculate the 90% Confidence Interval
Find a 90% confidence interval for μ, the true mean amount of food wasted by all households. Ensure your answer is rounded to one decimal place.
\[ (\ \_ \%, \ \_ \% ) \]
#### b. Evaluation of an Economist's Claim
An economist claims that μ is less than 33%. Evaluate this claim and explain your reasoning.
Options:
- **A**. No, because 33% is outside the confidence interval.
- **B**. Yes, because 33% is inside the confidence interval.
- **C**. Yes, because 33% is outside the confidence interval.
- **D**. No, because 33% is inside the confidence interval.
> Note: There are no graphs or diagrams in this text. The task involves interpreting statistical results.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbf57f010-4d50-41c2-bdd0-572e6de60ea5%2F86d0fa6f-fa3d-423d-9695-c35252c13515%2Fad4nkw_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Study on Household Food Waste
Researchers conducted a study to investigate the degree to which households in a country waste food. Data from 3,270 households was analyzed to measure the percentage of acquired food that is wasted. For this sample, the mean amount of food wasted was 34.5% with a standard deviation of 16.4%.
Participants are asked to complete the following parts:
#### a. Calculate the 90% Confidence Interval
Find a 90% confidence interval for μ, the true mean amount of food wasted by all households. Ensure your answer is rounded to one decimal place.
\[ (\ \_ \%, \ \_ \% ) \]
#### b. Evaluation of an Economist's Claim
An economist claims that μ is less than 33%. Evaluate this claim and explain your reasoning.
Options:
- **A**. No, because 33% is outside the confidence interval.
- **B**. Yes, because 33% is inside the confidence interval.
- **C**. Yes, because 33% is outside the confidence interval.
- **D**. No, because 33% is inside the confidence interval.
> Note: There are no graphs or diagrams in this text. The task involves interpreting statistical results.
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