3.Although most of us buy milk by the quart or gallon, farmers measure dailyproduction in pounds. Ayrshire cows average 55 pounds of milk a day, with a standarddeviation of 6 pounds. For Jersey cows, the mean daily production is 52 pounds, with astandard deviation of 5 pounds. Assume that Normal models describe milk production forthese breeds.(a) We select an Ayrshire at random. What's the probability that she averages more than58 pounds of milk a day?(b) What's the probability that a randomly selected Ayrshire gives more milk than arandomly selected Jersey?(c) A farmer has 20 Jerseys. What's the probability that the average production for thissmall herd exceeds 54 pounds of milk a day, assuming they can be treated as a randomsample of all Jersey cows?(d) A neighboring farmer has 10 Ayrshires. What's the probability that his herd averageis at least 5 pounds higher than the average for part (c)'s Jersey herd?

The provided information is as follows:The Ayrshire cow's average pounds of milk per day is .The…

Answered: 3. Although most of us buy milk by the…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby girls is approximately normally distributed. A study claimed that the mean of this population is 5.94 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 15 baby girls, and you record the weight each gained in their first year. Follow the steps below to construct a 95% confidence interval for the population mean of all the weight gains for baby girls in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Take Sample Sample size: 0 Point estimate: 0 Sample standard deviation: 10 Critical value: 0 Number of baby girls Compute 15 Enter the values of the sample size, the point estimate of the mean, the sample standard…
Nathan takes the State Aptitude Assessment, which has a mean of 350 and a standard deviation of 50. His brother Kyle takes the Regional Readiness Test, which has a mean of 300 and a standard deviation of 45. If Kyle's score was 375, what is the cooresponding z score? a. +2.22 b. +1.00 c. +1.67 d. -1.67
A different investor decides to invest $8000 in Fund A and $3000 in Fund B. Assuming the amounts gained by the two funds are independent, what are the mean and standard deviation of the amount gained by this investment in the first month?
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A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 16 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for…
In nutrition, the recommended daily allowance of vitamins is a number set by the government to guide an individual's daily vitamin intake. Actually, vitamin needs vary drastically from person to person, but the needs are closely approximated by a normal curve. To calculate the recommended daily allowance, the government first finds the standard deviation and the average need for vitamins among people in the population. The recommended daily allowance is then defined as the mean plus 2.7 times the standard deviation. What fraction of the population will receive adequate amounts of vitamins under this plan? Click here to see page 1 of the table for areas under the standard normal curve. Click here to see page 2 of the table for areas under the standard normal curve. The fraction of the population that will receive adequate amounts of vitamins under the given plan is (Type an integer or decimal rounded to the nearest thousandth as needed.)
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