Answered: An industrial-organizational…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

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An industrial-organizational psychologist believes that implementing a 2-hour lunch break at US companies will have an effect on employee productivity. On a productivity scale from 1 to 15, the average productivity score for all companies in the US is 8 (u = 8.00, ỡ = 4.00). The IO psychologist randomly samples 5 companies and has the companies implement a 2-hour lunch break for 1 month. At the end of the month, the lO psychologist measures the productivity scores for the five companies and obtains the following scores: 9, 14, 10, 12, 15 Using the appropriate hypothesis test and the six steps of hypothesis testing, determine what the 10 psychologist should conclude about the effect of a 2-hour lunch break on employee productivity. 1. What is the appropriate test to use ? 2. List the test's assumptions .You do NOT have to test the assumptions. 3. What are the null and alternative hypotheses ? 4. Construct a sampling distribution of means representing the null hypothesis. Specify the sampling distribution's mean and standard error 5. Using a two-tailed alpha of .05 (a = 05), determine the critical values English (United States) 6. Calculate the test statistic

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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