A Consumer Interest Group Is Interested in Comparing the Speed

question 33

Multiple Choice

A consumer interest group is interested in comparing the speed of four different desktop printers; four different documents are used for the experiment.Each test consists of randomly assigning one printer to one of the documents.The document is printed and the time to print in seconds is recorded.Each printer/document combination is tested.Calculate MST,MSE and the F-ratio.Can you reject H0 using α = 0.05? The ANOVA table is listed below. Analysis of Variance
Source Sum-of-Squares df Mean-Square F-ratio P-value
Printer 4.862
Error 3.150
Total 8.012

• A)MST = 1.216; MSE = 0.210; F-Ratio = 5.790; No,do not reject H0 using α = 0.05.
• B)MST = 1.621; MSE = 0.263; F-Ratio = 6.163; Yes,reject H0 using α = 0.05.
• C)MST = 1.621; MSE = 0.210; F-Ratio = 7.719; Yes,reject H0 using α = 0.05.
• D)MST = 1.216; MSE = 0.263; F-Ratio = 4.641; No,do not reject H0 using α = 0.05.
• E)MST = 1.621; MSE = 0.242; F-Ratio = 6.698; Yes,reject H0 using α = 0.05.

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Definitions:

Group Membership

The association or involvement of an individual in a social, professional, or other types of groups, which can influence their identity, beliefs, and behaviors.

Expected Value

A calculation in probability theory that summarizes the average outcome when the future involves scenarios that may or may not happen.

Fair Coin

A term describing a coin that has an equal probability of landing on heads or tails when flipped.

Expected Value Theory

A concept in probability and statistics that calculates the anticipated value of an investment or decision, factoring in all possible outcomes and their probabilities.