The mean score for a group of Statistics tests is 82 and the standard deviation is 4. The mean for a group of Biology tests is 77 and the standard deviation is 4. A student gets a 78 on theStatistics test and an 84 on the Biology test.(a) Transform the Statistics test score to a z-score:(b) Transform the Biology test score to a z-score:(c) The student did better on which test?O A. StatisticsO B. BiologyO C. The student did equally well on both tests.O D. There is not enough information to decide. 2. The mean score for a group of Statistics tests is 82 and the standard deviation is 4. The mean fora group of Biology tests is 77 and the standard deviation is 4. A student gets a 78 on theStatistics test and an 84 on the Biology test.(a) Transform the Statistics test score to a z-score:(b) Transform the Biology test score to a z-score:(c) The student did better on which test?O A. StatisticsB. BiologyC. The student did equally well on both tests.O D. There is not enough information to decide.(2 decimals)(2 decimals)

The random variable S is the score in the statistic The mean score for a group statistics test is 82…

Answered: 2. The mean score for a group of…

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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The mean score for a group of Statistics tests is 82 and the standard deviation is 4. The mean for a group of Biology tests is 77 and the standard deviation is 4. A student gets a 78 on the Statistics test and an 84 on the Biology test. (a) Transform the Statistics test score to a z-score: (b) Transform the Biology test score to a z-score: (c) The student did better on which test? O A. Statistics O B. Biology O C. The student did equally well on both tests. O D. There is not enough information to decide.

2. The mean score for a group of Statistics tests is 82 and the standard deviation is 4. The mean for
a group of Biology tests is 77 and the standard deviation is 4. A student gets a 78 on the
Statistics test and an 84 on the Biology test.
(a) Transform the Statistics test score to a z-score:
(b) Transform the Biology test score to a z-score:
(c) The student did better on which test?
O A. Statistics
B. Biology
C. The student did equally well on both tests.
O D. There is not enough information to decide.
(2 decimals)
(2 decimals)

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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