Answered: It currently takes users a mean of 2222…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 13PT

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It currently takes users a mean of 2222 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 2222 minutes so that they can change their advertising accordingly. A simple random sample of 9191 new customers are asked to time how long it takes for them to install the software. The sample mean is 23.423.4 minutes with a standard deviation of 5.55.5 minutes. Perform a hypothesis test at the 0.050.05 level of significance to see if the mean installation time has changed.

Step 1 of 3 :

State the null and alternative hypotheses for the test. Fill in the blank below.

H0Ha: μ=22: μ⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯22H0: μ=22Ha: μ00000000_22

Step 2 of 3:

Compute the value of the test statistic. Round your answer to three decimal places.

Step 3 of 3:

Draw a conclusion and interpret the decision.

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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