A nutritionist claims that children 13 to 15 years old are consumingless than the recommended iron intake of 20.5 mg.To test the nutritionist's claim of iron deficiency, a randomsample of children 13 to 15 years old will be obtained. Assumethat the data for iron intake follows the normal distributionwith a standard deviation of 4.75 mg. Find the size of thesample that you should take if you want to estimate the truemean iron intake to within 1 mg with 99% confidence.62149O 150O 61

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Answered: A nutritionist claims that children 13…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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A particular fruit's weights are normally distributed, with a mean of 613 grams and a standard deviation of 19 grams. The heaviest 18% of fruits weigh more than how many grams? Please give your answer to one decimal place. Weight =
A study reported on essential organic molecules and a Normal model can be used to describe these levels in adults. If the mean is 194 mg/dL and a standard deviation is 28, complete the following questions. a) Draw and label the Normal model. b) What percent of adults do you expect to have this essential organic molecule, cholesterol, levels over 210 mg/dL? c) What percent of adults do you expect to have cholesterol levels between 150 and 170 mg/dL? d) Estimate the interquartile range of cholesterol levels. IQR=___________mg/dL e) Above what value are the highest 15% of adults' cholesterol levels? ___________mg/dL
In your work as a biomedical engineer, you need to better understand the distribution of adults' blood pressures. Specifically, you are interested in systolic blood pressure, which is a measure of pressure within arteries when a heart beats; this is the first number in a blood pressure reading. In healthy adults, systolic blood pressure has a normal distribution with a mean of 112 mm Hg and standard deviation of 10 mmHg. Before you collect sample data, you want to predict the range in which you expect almost all of the data to fall. Which of the following represents the interval that will likely contain almost all (~99.7%) of the sample measurements of healthy adult systolic blood pressure? A) (102 mm Hg, 122 mm Hg) B) (92 mm Hg, 132 mm Hg) C) (82 mm Hg, 142 mm Hg) D) (72 mm Hg, 152 mm Hg)
The population average for SAT scores is known to be 500 with a standard deviation of 100. This distribution is approximately normal. Fifteen (15) high school students complete a preparation programme for taking the SAT test and obtain a mean score of 620. What would be the most appropriate statistical test for determining whether student who took the SAT preparation program obtained significantly greater score than the population mean? Explain your answer.
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 63 miles per hour, with a standard deviation of 4 miles per hour. Estimate the percent of vehicles whose speeds are between 59 miles per hour and 67 miles per hour. (Assume the data set has a bell-shaped distribution.) Approximately % of vehicles travel between 59 miles per hour and 67 miles per hour.
The annual per capita consumption of oranges (in pounds) in the United States can be approximated by a normal distribution. The mean annual per capita of oranges is 19.2 with a standard deviation of 4 pounds. what annual per capita consumption of oranges represents the 5th percentile?
Assume that the mean amount of coffee dispensed is 6 ounces and a standard deviation is 0.5 ounce use the empirical rule. What percent of cups should have at least 6 ounces and what percent of cups should have less then 4.5 ounces of coffee?
Assume blood glucose levels are normally distributed with a mean of 80 mg/dL and a standard deviation of 35 mg/dL. The normal range for blood glucose is considered to be 65-120 mg/dL. Values in the range 120-180 mg/dLare considered high and values greater than 180 mg/dL considered abnormal. what is the percentile for someone with a value of 135 mg/dL
The empirical rule estabilishes the percentages that are 1,2, and 3 deviations from the mean True Flase
The mean gas mileage for a hybrid car is 57 miles per gallon. Suppose that the gasoline mileage is approximately normally distributed with a standard deviation of 3.5 miles per gallon. What proportion of hybrids gets over 61 miles per gallon?
If corn has a normally distributed yield with a mean of 120 bushels per acre and a standard deviation of 10 bushels, find the percentage of acres that will fall over 108 bushels.
Cholesterol levels for teenage boys can be modeled by a normal distribution with mean 150 mg/dl and standard deviation 25 mg/dl. About 0.15% of 14-year-old boys have cholesterol levels less than what value? Use the empirical rule and do not round your answer.

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