A factorial experiment involving two levels of factor A and three levels of factor B resulted in the following data. Factor A Level 1 Level 2 Level 1 131 161 129 99 Factor B Level 2 94 70 123 101 Level 3 75 93 120 136 Test for any significant main effects and any interaction. Use a = 0.05. Find the value of the test statistic for factor A. (Round your answer to two decimal places.) Find the p-value for factor A. (Round your answer to three decimal places.) p-value = State your conclusion about factor A. O Because the p-value > a = 0.05, factor A is significant. O Because the p-value > a = 0.05, factor A is not significant. O Because the p-value < a = 0.05, factor A is not significant. O Because the p-value ≤ a = 0.05, factor A is significant.

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A market researcher for an automobile company suspects differences in preferred color between male and female buyers. Advertisements targeted to different groups should take such differences into account, if they exist. The researcher examines the most recent sales information of a particular car that comes in three colors. (You may find it useful to reference the appropriate table: chi- square table or F table) Sex of Automobile Buyer. Color Male Female Silver 477 298 Black 536 308 Red 482 348

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The following table summarizes the results from a two-factor study with 2 levels of factor A and 3 levels of factor B using a separate sample of n = 8 participants in each treatment condition. Fill in the missing values. (Hint: Start with the df values.) Source SS df MS F Between treatments 72       Factor A         Factor B       6 A*B interaction     12   Within treatments 126       Total

Suppose a certain virus (sorry!) affects 0.3% of the population. A test used to detect the virus is positive 88% of the time if the person has the virus (true positive) and 10% of the time if the person does not have the virus (false positive). Fill out the rest of the table and use it to answer the questions based on a total sample of 100,000 people. Virus No Virus Total Positive Test Negative Test Total 100,000 a) Find the probability that a person has the virus given that they have tested positive. Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol. b) Find the probability that a person does not have the virus given that they test negative. Give your answer as a percent rounded to two places after the decimal. Don't enter the % symbol.

The following table summarizes the results from a two-factor study with two levels of factor A and three levels of factor B using a separate sample of n=5 participants in each treatment condition. Fill in the missing values.

A researcher would like to use a factorial study to compare two programs designed to help people stop smoking. The smoking behavior of each participant will be measured at the beginning of the program, at the end of the program, and again four months after the program has ended. Thus, the two treatment programs make up one factor, the three measurement times make up the second factor. For this study, which factor(s) should be between-subjects and which should be within-subjects? Explain your answer.

6, 37, 2, 9 , 48 ,18, 6, 1 ,10 ,3 how do you find the variance with these group of numbers?

How to find the variance of a set of numbers