Analysis of the rate of turnover of employees by a personnel manager produced the following table showing the lenth of stay of 200 people who left the company for other employment Grade Managerial Skilled Unskilled Lenth of employment (years) 0-2 2-5 >5 10 21 30 11 28 23 16 21 40 Test at 5% significance level, wether the length of employment is independent of Grade.
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- A suburban hotel derives its revenue from its hotel and restaurant operations. Theowners are interested in the relationship between the number of rooms occupied on anightly basis and the revenue per day in the restaurant. Below is a sample of 25 days(Monday through Thursday) from last year showing the restaurant income and numberof rooms occupied.Let X denote the courtship time for a randomly selected female-malepair of mating scorpion flies (time from the beginning of interactionuntil mating). Suppose the mean value of X is 120 min and the standarddeviation of Xis 110 min (suggested by data in the article "Should I Stayor Should I Go? Condition- and Status-Dependent Courtship Decisions inthe Scorpion Fly Panorpa Cognate"(Animal Behavior, 2009: 491-497)). a. Is it plausible that X is normally distributed?b. For a random sample of 50 such pairs, what is the (approximate)probability that the sample mean courtship time is between 100min and 125 min? c. For a random sample of 50 such pairs, what is the (approximate)probability that the total courtship time exceeds 150 hr?d. Could the probability requested in (b) be calculated from thegiven information if the sample size were 15 rather than 50?Explain.A researcher is interested in studying the effects of altitude on cognitive performance (e.g., perception, memory, problem solving, etc.). The researcher finds a group of experienced mountain climbers (n = 10) who volunteer to participate in the study. All of the climbers are tested at three different altitudes—at sea level (in the researchers’ laboratory at the University of California, San Diego), at the base camp (9,000 feet above sea level), and at 23,000 feet above sea level (at the peak of Mt. Denali in Alaska). At each location, the climbers perform a memory task (remember a list of 16 non-words like “biv”), and the accuracy of their memory is recorded (i.e., # of correctly recalled words). a. pls name the independent variable, dependent variable, levels of the IV, and the type of experiment design of this study (i.e., b/w- or w/i-subject design ) b. on what level of measurement is accuracy of memory assessed? (i.e., is it on nominal, ordinal, interval, or ratio?
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- Test the hypothesis that the average content of containers of a particular machine oil is 10 liters, if the contents of random sample of 10 containers are: 10.1, 9.3, 9.7, 10.2, 10.1, 9.9, 9.5, 10.2, 9.8, and 10.1. Use 0.01 level of significance. Assume to be normally distributed data.A researcher has observed 500 vehicles at a stop sign in a suburban neighbourhood and recorded the type of vehicle (sedan, hatchback, bakkie) and driver behaviour at the stop sign (complete stop, near stop, “ran” the stop sign). At the 0.05 level of significance, could there be some relationship between driver behaviour and the type of vehicle being driven? Define the null hypothesis and the alternative hypothesis. A. H1: Driver’s behaviour and type of vehicle are independent vs H0: A relationship exists between driver’s behaviour and type of vehicle B. H0: A relationship exists between driver’s behaviour and type of vehicle vs H1: No relationship exists between driver’s behaviour and type of vehicle C. H0: Driver’s behaviour and dependent on the type of vehicle vs H1: Driver’s behaviour and type of vehicle are independent D. H0: Driver’s behaviour and type of vehicle are independent vs H1: A relationship exists between driver’s behaviour and type of vehicle