A nutritionist claims that children 13 to 15 years old are consumingless than the recommended iron intake of 20.5 mg.A random sample of 50 children 13 to 15 years old was obtained, and their dailyconsumption of iron was measured. The mean daily iron intake among these childrenwas found to be 12.5 mg. Construct a 95% confidence interval for the true mean ironintake among children 13 to 15 years old. Assumethat the data for iron intake follows the normal distributionwith a standard deviation of 4.75 mg.O 10.93mg

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Answered: A random sample of 50 children 13 to 15…

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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In a random sample of eight cell phones, the mean full retail price was $431.50 and the standard deviation was $226.00. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean μ. Interpret the results.
Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 adults, how many consume at least 320 mg of caffeine daily?
On the Stanford-Binet test, the mean IQ is 100. A class of 21 kindergarten pupils were tested with a resulting mean of 92 and a standard deviation of 6.92. What is the standard error of the 90% confidence interval of the average IQ of the kindergarten pupils?
In a randoms sample of six people, the mean driving distance to work was 19.7 miles and the standard deviation was 6.1 miles. Assume the population is normally distributed and use the t-distribution to find the margin of error and construct a 90% confidence interval for the population mean u. Interpret the results.
A study is conducted to find the mean life of a certain manufacturer's car batteries. A random sample of 34 batteries is selected and a mean of 47.5 months with a standard deviation of 7.3 months is found. Find a 95% confidence interval for the mean battery life.
The sample mean and standard deviation for weights of 100 boxes are 12.05g and 0.1g respectively. Find a 90% confidence interval for the mean weight of the boxes.
In a random sample of 5 mobile devices, the mean repair cost was $60.00 and the standard deviation was $12.00. Assume the population is normally distributed and use a t-distribution to find the margin of error and construct a 95% confidence interval for the population mean. Interpret the results.
The mean difference in the sample (n=100) is -12.7 with a standard deviation of 8.9. A. construct a 95% confidence interval for the mean differences in depressive symptoms between drug and placebo. B. From a statistical standpoint, does this represent a significant change in depressive symptoms between the new drug and the placebo?
A wildlife study is designed to find the mean weight of salmon caught by an Alaskan fishing company. Find the minimum sample size needed in order to construct a 95% confidence interval for the mean weight of such salmon, to within 0.30 pounds. Assume that the standard deviation of 3.10.
Total plasma volume is important in determining the required plasma component in blood replacement therapy for a person undergoing surgery. Plasma volume is influenced by the overall health and physical activity of the individual. Suppose that a random sample of 45 male firefighters was tested and the sample mean was 37.5 ml/kg. Assuming that the population standard deviation for the distribution of blood plasma is 7.5 ml/mg. Find a 99% confidence interval for the mean blood plasma volume in male firefighters.
A sample of 12 suburban hotels showed that the mean revenue is $1117. It is known that the standard deviation is $121.8. Construct the 90% confidence interval for the true average revenue of all suburban hotels.
A ecologist wishes to estimate the mean lifespan for a specific species of bird. Assume that bird lifespan is normally distributed and that each bird's lifespan is independent of all others. The researcher analyzes a random sample of n=7 deceased birds to find out how long they lived for. It is found that the mean lifespan in the sample is y= 5 4 years with standard deviation s=13 years. Choose the correct formula for a 95% confidence interval for the true mean lifespan. X± to.975,n O xt to.975,n-1 n-1 O none of these X+ Z0.975 O x+ to.975,n-1' O xt to.975,n-15

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