As part of a study of the treatment of anemia in pre-menopause women, researchers measured the concentration of iron in the blood of 46 women that had been given a iron enriched dietary supplement for one year. All women were from the same village with same nutrition and life style (same environmental factors). The mean iron concentration was 6.35 ug/dLi and the standard deviation was 1.95 ug/dLi. Please, Calculate the Standard Error of the sample mean 0.2875 0.291 0.936 1.95 Based on the previous question description, please Calculate a 95% confidence interval of the population mean. [ 5.77, 6.93 ] [ 5.75, 6.95 ] [ 4.465, 8.235 ] [ 2.40, 10.28 ] Based on the 95% CI you got in the previous question, if we change it into calculating 99% CI of the same question, would you expect any changes on the length of the confidence intervals? wider than 95% CI The length of the 99% CI will be shorter than that of 95% CI. The length of the 99% CI will be the same as that of 95% CI. Can not determine. The length of the 99% CI will be wider than that of 95% CI. Suppose that the data in the first question on the 46 women are regarded as a pilot study, and that the researchers now wish to design a new study for which they want the standard error of the mean to be only 0.05 ug/dLi. How many women should be measured in the new study? 1521 4225 39 1522

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 7PPS

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As part of a study of the treatment of anemia in pre-menopause women, researchers measured the concentration of iron in the blood of 46 women that had been given a iron enriched dietary supplement for one year. All women were from the same village with same nutrition and life style (same environmental factors). The mean iron concentration was 6.35 ug/dLi and the standard deviation was 1.95 ug/dLi. Please, Calculate the Standard Error of the sample mean
1. 0.2875
2. 0.291
3. 0.936
4. 1.95
  Based on the previous question description, please Calculate a 95% confidence interval of the population mean.
  
  [ 5.77, 6.93 ]
  
  [ 5.75, 6.95 ]
  
  [ 4.465, 8.235 ]
  
  [ 2.40, 10.28 ]
  
  Based on the 95% CI you got in the previous question, if we change it into calculating 99% CI of the same question, would you expect any changes on the length of the confidence intervals? wider than 95% CI
  
  The length of the 99% CI will be shorter than that of 95% CI.
  
  The length of the 99% CI will be the same as that of 95% CI.
  
  Can not determine.
  
  The length of the 99% CI will be wider than that of 95% CI.
  
  Suppose that the data in the first question on the 46 women are regarded as a pilot study, and that the researchers now wish to design a new study for which they want the standard error of the mean to be only 0.05 ug/dLi. How many women should be measured in the new study?
  
  1521
  
  4225
  
  39
  
  1522

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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