Reference no: EM132845230
What price do farmers get for their watermelon crops? In the third week of July, a random sample of 40 farming regions gave a sample mean of = $6.88per 100 pounds of watermelon. Assume that ?? is known to be $1.96 per 100 pounds.
a) Find the sample size necessary for a 90% confidence level with maximal error of estimate E = 0.29 for the mean price per 100 pounds of watermelon. (Enter a number. Round up to the nearest whole number.)
b)A farm brings 15 tons of watermelon to market. Find a 90% confidence interval for the population mean cash value of this crop (in dollars). What is the margin of error (in dollars)? Hint: 1 ton is 2000 pounds. (For each answer, enter a number. Round your answers to two decimal places.)
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margin of error $
Over the past several months, an adult patient has been treated for tetany (severe muscle spasms). This condition is associated with an average total calcium level below 6 mg/dl. Recently, the patient's total calcium tests gave the following readings (in mg/dl). Assume that the population of x values has an approximately normal distribution
9.1 9.6 10.3 9.1 9.4 9.8 10.0 9.9 11.2 12.1
a) Find a 99.9% confidence interval for the population mean of total calcium in this patient's blood. (in mg/dl; round your answer to two decimal places.)
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What is the minimal sample size needed for a 95% confidence interval to have a maximal margin of error of 0.1 in the following scenarios? (For each answer, enter a number. Round your answers up the nearest whole number.)
(a) a preliminary estimate for p is 0.31
(b) there is no preliminary estimate for p
For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding.
In a random sample of 65 professional actors, it was found that 40 were extroverts.
(a) Let p represent the proportion of all actors who are extroverts. Find a point estimate for p. (Round your answer to four decimal places.)
(b) Find a 95% confidence interval for p. (Round your answers to two decimal places.)
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In a marketing survey, a random sample of 992 supermarket shoppers revealed that 278 always stock up on an item when they find that item at a real bargain price.
(a) Let p represent the proportion of all supermarket shoppers who always stock up on an item when they find a real bargain. Find a point estimate for p. (Enter a number. Round your answer to four decimal places.)
(b) Find a 95% confidence interval for p. (For each answer, enter a number. Round your answers to three decimal places.)
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: In the third week of July, a random sample of 40 farming regions gave a sample mean of = $6.88per 100 pounds of watermelon.
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