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4. Although most of us buy milk by the quart or half gallon, farmers measure daily production in pounds. Ayreshire cows average 47 pounds of milk a day with a standard deviation of 6 pounds. For Jersey cows, the mean daily production is 43 pounds with a standard deviation of 5 pounds. Assume the milk production for these breeds is normally distributed.a. We select an Ayreshire at random. What is the probability that she produces more than 50 pounds of milk a day?b. A farmer has 20 Jerseys. What is the probability that the average production of this herd exceeds 45 pounds of milk a day?c. What is the probability that this herd of Jersey produces an average of less than 38 pounds of milk per day? d. A neighboring farmer has 10 Ayreshires. What is the probability that his herd has an average daily milk production greater than greater than 50 pounds.e. What is the probability that the mean milk production of this herd of Ayreshires is within 10 pounds of the mean?
A health care analyst would like to know that if the duration of a given eye surgical procedure has a normal distribution with a mean of 240 minutes and a standard deviation of 40 minutes
Visa Card USA studied how frequently young consumers, ages 18 to 24, use plastic cards in making purchases. The results of the study provided the following probabilities.
At the .10 significance level you will test to determine if there has been an increase in selling time. Is this a 1 or 2 tail test?
How large a sample is needed to estimate the true proportion of covered children with 90% confidence with a confidence interval of .05.
Multiple choice questions based on regression - A regression and correlation analysis resulted in the following information
Suppose a simple random sample of 30 days is selected for observation. What is the probability that the sample mean for the 30 days will be between 300 and 340 books?
What is the probability all three of the selected homes have a security system?
2 prizes of $1250, and 1 prize of 3000. Assume that 22,000 lottery tickets are issues and sold for $1. What is the lottery's expected profit per ticket?
An experiment consists of making 80 telephone calls in order to sell a particular insurance policy.
Suppose that 1 out of 500 infant's are born with Down's Syndrome.
Assume that a 95% confidence interval for the mean is 14.5
What control limits should be applied to his sample?
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