BMGT 230, Exercise Set 8, Due18November2022(on-line, by 11:59 pm College Park time)1.L. F. Gilbreth, the vice president of human resources for a major U.S. airline, wants to compare fourprograms for training employees to perform a certain task. Twenty employees are randomly assigned tothe training programs, with five in each program. At the end of the training period, the number of timeseach employee can perform the task in a five-minutes period is recorded as follows:PROGRAM 1PROGRAM 2PROGRAM 3PROGRAM 491012126141491111913131011L. F. conducts an analysis of variance [ANOVA] test to compare the training programsa. State thenullandalternativehypotheses associated with the test.b. If SSB = 54.95 and SST = 96.55, what is thecalculatedvalue of the associated test statistic?c. If the level of significance equals 0.05, what is thecriticalvalue of the associated test statistic?d. State yourdecisionregarding the null hypothesis.e. State yourconclusion(meaning, describe what the decision means in this problem).f. If Tukeyās HSD equals approximately 2.92, which training programs differ significantly from eachother in terms of the number of times employees can perform the task in a five-minutes period, onaverage?2.Hopkins Johns studies college and university students. Recently, Hopkins conducted an analysis ofvariance [ANOVA] test to determine whether the amount of time students study per day, on average,differs, or varies, based on a studentās year in college (first-year, sophomore, junior, senior). To conductthe test, Hopkins recorded the number of hours studied for eight students selected at random from eachyear in college.a. State thenullandalternativehypotheses associated with the test.b. If the value for SSB equals 16 and thecalculatedvalue for the associated test statistic equalsapproximately 1.69696969, determine the value for SST.c. If the level of significance equals 0.05, determine thecriticalvalue for the associated test statistic.d. State yourdecisionabout the null hypothesis.e. State yourconclusion(meaning, describe what the decision means in this problem).981178

3.A study showed 110 cases of āblue lung diseaseā among 1,000 instructors who used blue dry erasemarkers in classes and 90 cases of āblue lung diseaseā among 1,000 instructors who did not use blue dryerase markers in classes. Test whether instructors who used blue dry erase markers in classes weresignificantly more likely to develop āblue lung diseaseā than instructors who did not use blue dry erasemarkers in classes.a. State thenullandalternativehypotheses associated with the test.b. What is thecalculatedvalue of the associated test statistic?c. What is the p-VALUE for the test (please use FOUR decimal places)?d. IfĪ±= 0.05, state yourdecisionregarding the null hypothesis by comparingĪ±to the p-VALUE.e. State yourconclusion(meaning, describe what the decision means in this problem).4.Recently, the Maryland Gaming Commission has received complaints from numerous patrons of theMaryland Live! Casino in Hanover, Maryland, regarding the dice game known as Craps. The complaintsgenerally state that the dice at the casino appear to be āloaded,ā meaning unfair. To investigate, youselect a random sample of dice from the casino and test whether each die is fair, meaning whether eachof the six sides is equally likely. The results for one die follow:VALUEf

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Term

Spring

Professor

studer-ellis

Tags

Null hypothesis, Statistical hypothesis testing