What price do farmers get for their watermelon crops? In thethird week of July, a random sample of 41 farming regions gave asample mean of x = $6.88 per 100 pounds of watermelon.Assume that σ is known to be $1.90 per 100 pounds.
(a) A farm brings 15 tons of watermelon to market. Find a 90%confidence interval for the population mean cash value of thiscrop. What is the margin of error? Hint: 1 ton is 2000pounds. (Round your answers to two decimal places.)
lower limit    | $ |
upper limit    | $ |
margin of error    | $ |
Over the past several months, an adult patient has been treatedfor tetany (severe muscle spasms). This condition is associatedwith an average total calcium level below 6 mg/dl. Recently, thepatient's total calcium tests gave the following readings (inmg/dl). Assume that the population of x values has anapproximately normal distribution.
9.5 | 8.8 | 10.5 | 9.1 | 9.4 | 9.8 | 10.0 | 9.9 | 11.2 | 12.1 |
(b) Find a 99.9% confidence interval for the population mean oftotal calcium in this patient's blood. (Round your answer to twodecimal places.)
lower limit    |   mg/dl |
upper limit    |   mg/dl |
What percentage of hospitals provide at least some charity care?Based on a random sample of hospital reports from eastern states,the following information is obtained (units in percentage ofhospitals providing at least some charity care):
57.1 | 56 | 53.1 | 66 | 59.0 | 64.7 | 70.1 | 64.7 | 53.5 | 78.2 |
(c) Find a 90% confidence interval for the population average μof the percentage of hospitals providing at least some charitycare. (Round your answers to one decimal place.)
lower limit    | % |
upper limit    | % |