Show all work. Check your work with a calculator.
- Researchers are interested in understanding the weekend
spending habits of college students. A simple random sample of 1500
college students is taken from universities across the United
States. The average amount of money spent on the weekends was $95
with a standard deviation of $185. Construct a 95% confidence
interval for the spending habits of college students on the
weekends. Interpret your results. Round to the nearest
hundredths.
- Researchers are interested in understanding the number of
ounces of baby food that children who are 6 months old consume in a
day. A simple random sample of 22 6-month old’s is taken. The
average number of ounces was 5.8 with a sample standard deviation
of 1.63. Construct a 95% confidence interval for the number of
ounces of baby food consumed in a day. Interpret your results.
Round to the nearest hundredths.
- Researchers are interested in studying the cholesterol levels
of heart disease patients. A simple random sample of 28 patients
with heart disease is taken. The mean cholesterol level was 261.59
with a sample standard deviation of 46.19. A simple random sample
of 27 patients without heart disease is taken. The mean cholesterol
level was 197.38 with a sample standard deviation of 24.09.
Construct a 95% confidence interval. Round to the nearest
hundredths.
- The following data on differences was obtained from a matched
pair study.
4, 2, -3, 2, 1, 1, -4, -2, 0
Construct a 95% confidence interval. Round to the nearest
hundredths. The standard deviation of the differences was
2.619.