Quiz 10 Insights: Mastering Statistics for Managerial Decisions

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Apr 3, 2024

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Quiz 10 Shaun Wright (username: SWRIGHT112) Attempt 1 Written: Jul 25, 2023 9:29 AM - Jul 25, 2023 11:23 AM Submission View Released: Jul 25, 2023 11:59 PM Question 1 10 / 10 points Match up the following: __ 7__ __ 4__ __ 3__ __ 2__ __ 5__ __ 6__ __ 1__ 1 . 2 . 3 . 4 . 5 . 6 . 7 . Question 2 10 / 10 points Doesn't have a match "H0: Mean ≥ value" is rejected if: "H0: Mean ≤ value" is rejected if: "H0: Mean = value" is rejected if: A one-sided test with upper reject region does not reject H0 if: A one-sided test with lower reject region does not reject H0 if: Increasing significance level α Increases the chance of a type I error and decreases the chance of a type 2 error If either test statistic < negative critical value, or test statistic > positive critical value Test statistic > positive critical value Test statistic < negative critical value Test statistic < positive critical value Test statistic > negative critical value Decreases the chance of a type I and increases the chance of a type II error

Match up the following: __ 3__ __ 1__ __ 4__ __ 2__ __ 6__ __ 5__ 1 . 2 . 3 . 4 . 5 . 6 . Question 3 7.143 / 10 points Match up the following: __ 9__ __ 6__ The chance of a type 1 error is reduced by Rejecting H0 does not prove HA because The chance of a type 2 error is reduced by Not rejecting H0 does not prove H0 because Always take action if H0 is rejected Statistically significant differences do not necessarily require rejecting the status quo A type 1 error is possible A type 2 error is possible Decreasing the significance level Increasing sample size Because small differences without sufficient benefit can be made statistically significant by increasing sample size False A simple random sample of beer drinkers are categorized and counted by gender and by beer preferences light, regular, or dark beer. Is there a relationship between counts and categories? Crop yield was measured on multiple acreages with different fertilizer treatments. You want to know if the yields are

__ 7__ __ 8__ __ 1__ (3) __ 4__ (1) 1 . 2 . 3 . 4 . 5 . 6 . 7 . 8 . 9 . equal. Marketing wants to know if applications by Silver, Gold, or Platinum credit card are the same for the past three mailings. Applications are counted by type of card and mailing. You want to decide if a sample matches a multinomial probability distribution with P(event A) = 0.15, P(Event B) = 0.25, P(Event C) = 0.35, and P(Event D) = 0.25. Last year, 2 employees enrolled in a wellness class. From a random sample taken this year, decide if more are planning to take a wellness class. Last year, on average, 2 accounting reports/quarter were late. From a random sample taken this year, decide if the number of late reports has changed. Decide if time (min) spent on a new web site before H0: Mean = 2 H0: Mean ≥ 2 H0: Mean ≤ 2 H0: Mean ≠ 2 H0: Mean > 2 H0: Means equal H0: Homogeneous H0: Good fit H0: Independence

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__ 2__ Question 4 10 / 10 points Match up the following ANOVA statements: __ 7__ __ 4__ __ 1__ 1 . 2 . 3 . 4 . 5 . 6 . customers make a purchase is less than the time on old web site of 2 minutes. As the test statistic moves in the direction of HA , pvalue decreases Pieces of white cloth were coated with the same amount of a grease. Washed with hot or cold water, and with short or long wash times, cleanness was measured. What type of analysis is required? To test a new laundry detergent, pieces of white cloth were coated with the same amount of a grease. After hot or cold water, combined with short or long wash times, cleanness was measured. What are the factors? Mrs. Fields food lab evaluated chocolate chips for chocolate chip cookies. They baked cookies with different kinds of chips (milk, dark, and Water temperature and washing time milk, dark, and semi-sweet 1-way ANOVA 2-way ANOVA the test statistic increases the test statistic decreases

__ 2__ __ 5__ __ 3__ __ 6__ __ 8__ __ 9__ 7 . 8 . 9 . 10 . 11 . ANOVA Analysis Question 5 0 / 10 points Five different paints are marketed as having the same drying time. To verify the manufacturer's claim, the dry times of paints were measured in seconds and recorded in DATA (Click and download). Test the claim that the drying times are equal at α = 0.05. semi-sweet chocolate). Trained testers ranked the cookies on a 5-point Likert scale. What are the levels of the factor? As the spread within samples decreases and the spread between sample means increases An Internet site randomly sent customers to one of three versions of its site and recorded how long each user stayed on a version. What kind of analysis is required? As the spread within samples increases and the spread between sample means decreases The test statistic F rejects H0 if In ANOVA, Rejecting H0 means that True test statistic > critical value The means are not all equal False Chi Square test

Question 6 0 / 10 points Auditors make assessments on the bases of their individual experience, the experience of others, or a combination of experiences. A study of the auditors' methods was performed. The average number of errors is recorded in DATA (Click and download). At α = 0.10, test the claim that errors are equal. None of the answers are correct. The pvalue of 3.73E-20 indicates that the data provide significant evidence against H0. H0 is rejected at α = 0.05. Action is required. The F test statistic 0.535 does not exceed the critical value 2.579 and indicates that the data provide insignificant evidence against H0. H0 is not rejected at α = 0.05. The F test statistic 123.4 exceeds the critical value 2.579 and indicates that the data provide significant evidence against H0. H0 is rejected at α = 0.05. Action is required. The pvalue of 4.2E-22 indicates that the data provide significant evidence against H0. H0 is rejected at α = 0.05. Action is required. The F test statistic 1.338 does not exceed the critical value 2.579 and indicates that the data provide insignificant evidence against H0. H0 is not rejected at α = 0.05. The F test statistic of 0.208 is less than the critical value 2.406 and does not reject H0 at alpha = 0.10. It remains plausible that the audit methods are equal. The pvalue of 0.353 is greater than alpha = 0.10 and does not reject H0. It remains plausible that the audit methods are equal. The pvalue of 0.0998 is less than alpha = 0.10 and rejects H0. The audit methods are not equal. The pvalue of 0.402 is greater than alpha = 0.10 and does not reject H0. It remains plausible that the audit methods are equal. The F test statistic of 5.151 exceeds the critical value 2.406 and rejects H0 at alpha = 0.10. The audit methods are not equal.

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Question 7 10 / 10 points Match up the following Chi Square statements: __ 3__ __ 2__ __ 1__ __ 5__ __ 6__ __ 8__ __ 4__ __ 7__ 1 . 2 . 3 . 4 . 5 . 6 . 7 . 8 . Chi Squared Analysis Question 8 10 / 10 points The Director of Human Resources at a large company wants to determine if there are any irregularities in the use of employee sick leave. The number of employees on sick leave was recorded each day for 6 months and subtotaled by day. Open DATA ( ← Click and Open). At significance level 0.05, test H0: Daily sick leave useage is consistent (equal). None of the answers are correct. Tests if multiple unspecified probability distributions are the same Tests if category labels in a 2-way classification table have some meaningful relationship to counts Tests if specified distribution of H0 matches a sample '= X - 1 - number of estimated distribution parameters test statistic increases test statistic > critical value '= (X-1)(Y-1) p value increases Goodness of fit Independence Homogeneity DF for a two-way contingency table of X rows and Y columns DF for a goodness of fit with X cells As the difference between observed and expected counts increases As the test statistic decreases H0 is rejected The chi square statistic 20 exceeds the critical value 9.49 and rejects H0.

Question 9 0 / 10 points Often frequency data are tabulated according to two categories to decide if there is a relationship between categories and counts, in other words. Do the categories matter? Machine shop Hi Tech errors are tabulated by Shift and Machine with significance level α in DATA (Click and Open). Are the machines and shifts operating consistently? Perform the appropriate test. Action is required to characterize the inconsistency and revise policy as needed. The pvalue 0.20 > α is not significant evidence against H0, and does not reject H0. The sick leave policies and procedures are working. The chi square statistic 11.15 exceeds the critical value 9.49 and rejects H0. Action is required to characterize the inconsistency and revise policy as needed. None of the answers are correct. The pvalue 0.44 > α is not significant evidence against H0, and does not reject H0. The sick leave policies and procedures are working. The chi square statistic 17.1 exceeds the critical value 9.49 and rejects H0. Action is required to characterize the inconsistency and revise policy as needed. The chi square statistic 24.375 does not exceed the critical value 29.14 and fails to reject H0. The chi square statistic 17.554 does not exceeds the critical value 21.06 and fails to reject H0. The pvalue 0.018 < α is significant evidence against H0, rejects H0, and action is needed to improve machine errors. The chi square statistic 3.085 does not exceeds the critical value 23.68 and fails to reject H0. The pvalue 0.074 < α is significant evidence against H0, rejects H0, and action is needed to improve machine errors.

Question 10 0 / 10 points Candy colors in boxes were counted by company (A, B, and C). Test H0: Distribution of colors is the same using alpha and counts in DATA (Click and Open). Attempt Score: 57.14 / 100 - 57.14 % Overall Grade (highest attempt): 57.14 / 100 - 57.14 % Done None of the answers are correct. The pvalue 0.0000 < significance level. The evidence against H0 is extreme. H0: "Distributions of colors are the same" is rejected. The chi square statistic 5.54 does not exceeds the critical value of 23.21. H0 is not rejected. Keep the status quo, or it is plausible that the distributions of colors are the same. The pvalue 0.90 > alpha 0.05. H0 is not rejected. Keep the status quo, or it is plausible that the distributions of colors are the same. The pvalue 0.01 < standard significance level. The evidence against H0 is strong. H0: "Distributions of colors are the same" is rejected. None of the answers are correct. The chi square statistic 5.8 does not exceeds the critical value of 15.99. pvalue 0.83. H0 is not rejected at α = 0.10 (sensitive, exploratory). Keep the status quo, or it is plausible that the distributions of colors are the same.

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