Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds. Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds. Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let represent the difference in the mean times for Alex and Chris. Which of the following represents the standard deviation of the sampling distribution for ?0.090.130.170.18 Alex's times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviationof 0.38 seconds. Chris's times for running a mile are Normally distributed with a mean time of 5.45 seconds and astandard deviation of 0.2 seconds. Ten of Alex's times and 15 of Chris's times are randomly selected. Let ī, -ī.represent the difference in the mean times for Alex and Chris. Which of the following represents the standarddeviation of the sampling distribution for -,?'A0.090.130.170.18

Let n1 be the sample size of alex n2 be the sample size of chris Given n1=10, n2=15 , standard…

Answered: Alex’s times for running a mile are…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 13PPS

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Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds. Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds. Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let represent the difference in the mean times for Alex and Chris. Which of the following represents the standard deviation of the sampling distribution for ?

0.09

0.13

0.17

0.18

Alex's times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation
of 0.38 seconds. Chris's times for running a mile are Normally distributed with a mean time of 5.45 seconds and a
standard deviation of 0.2 seconds. Ten of Alex's times and 15 of Chris's times are randomly selected. Let ī, -ī.
represent the difference in the mean times for Alex and Chris. Which of the following represents the standard
deviation of the sampling distribution for -,?
'A
0.09
0.13
0.17
0.18

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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