AP Statistics Quiz 10.2 1. Name: Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, t responders (specifically emergency medical technicians, EMTs). Independent random sa of these two professions were selected and their salaries were recorded. The data are su 2. A study of iron deficiency among infants compared blood hemoglobin levels of a random sample of infants who had been breast-fed to a random sample of infants who had been fed with standard infant formula. Here are the results. n X S Breast-fed infants 23 13.3 1.7 Formula-fed infants 19 12.4 1.8 We want to test Ho HB-HF =0, H, HB-HF 0, where μ, and μ are the population mean blood hemoglobin levels for breast-fed and formula-fed infants, respectively. (a) What additional information would you need to confirm that the conditions for this test have been met? EMTS $54,529 $5,551 100 of two-sample t e in the true (b) Assume the conditions have been met. Calculate the standardized test statistic and P-value for this test. Bib sd not fav (c) What conclusion would you make at the α = 0.05 significance level? (d) Given your conclusion in part (c), which type of error, Type I or Type II, could you have made? Describe that error in the context of this study.

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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AP Statistics Quiz 10.2 1. Name: Mrs. Toguchi wants to determine if politicians tend to have higher salaries, on average, t responders (specifically emergency medical technicians, EMTs). Independent random sa of these two professions were selected and their salaries were recorded. The data are su 2. A study of iron deficiency among infants compared blood hemoglobin levels of a random sample of infants who had been breast-fed to a random sample of infants who had been fed with standard infant formula. Here are the results. n X S Breast-fed infants 23 13.3 1.7 Formula-fed infants 19 12.4 1.8 We want to test Ho HB-HF =0, H, HB-HF 0, where μ, and μ are the population mean blood hemoglobin levels for breast-fed and formula-fed infants, respectively. (a) What additional information would you need to confirm that the conditions for this test have been met? EMTS $54,529 $5,551 100 of two-sample t e in the true (b) Assume the conditions have been met. Calculate the standardized test statistic and P-value for this test. Bib sd not fav (c) What conclusion would you make at the α = 0.05 significance level? (d) Given your conclusion in part (c), which type of error, Type I or Type II, could you have made? Describe that error in the context of this study.

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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