A study was done by Our World in Data that looks at home long people spend each day on different tasks. The study found that people in France spend an average of 133 minutes each day eating and drinking. This is higher than any other country included in the study and some wonder if people in France really spend that much time every day eating and drinking. A separate survey was done on a random sample of 45 people who live in France. The sample mean was 140 minutes spent eating and drinking with a sample standard deviation of 25 minutes. Test at 0.05 significance that the average time French people spend eating and drinking is actually more than 133 minutes each day. Form null and alternative hypotheses for this test: Run the test to find the test statistic and p-value. Show work. Using the rejection region method, make a decision about the null hypothesis? Explain. Using the p-value method, make a decision about the null hypothesis? Explain. Write a conclusion for this test in context to the problem.
A study was done by Our World in Data that looks at home long people spend each day on different tasks. The study found that people in France spend an average of 133 minutes each day eating and drinking. This is higher than any other country included in the study and some wonder if people in France really spend that much time every day eating and drinking. A separate survey was done on a random sample of 45 people who live in France. The sample mean was 140 minutes spent eating and drinking with a sample standard deviation of 25 minutes. Test at 0.05 significance that the average time French people spend eating and drinking is actually more than 133 minutes each day.
- Form null and alternative hypotheses for this test:
- Run the test to find the test statistic and p-value. Show work.
- Using the rejection region method, make a decision about the null hypothesis? Explain.
- Using the p-value method, make a decision about the null hypothesis? Explain.
- Write a conclusion for this test in context to the problem.
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