What is the variance in the number of successes during a 36 minute period?
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Suppose we are counting successes in a Poisson process where we expect 10 successes per hour. What is the variance in the number of successes during a 36 minute period?
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- 4 Thirty five percent of the students in a class of 100 are planning to go to graduate school, Find the variance of this binomial distributionAs a hospital administrator of a large hospital, you are concerned with the absenteeism among nurses' aides. The issue has been raised by registered nurses, who feel they often have to perform work normally done by their aides. To get the facts, absenteeism data were gathered for the last three weeks, which is considered a representative period for future conditions. After taking random samples of 64 personnel files each day, the following data were produced Day 1 2 3 4 Aides Absent 5 4 2 6 a Day 6 7 8 9 10 Aides Absent 6 7 9 3 7 Day Aides Absent 11 12 13 (Enter your responses rounded to The upper control limit is and the lower control limit is three decimal places. If your answer for the lower control limit is negative, enter this value as 0.) 14 15 6 8 10 1 2 Because your assessment of absenteeism is likely to come under careful scrutiny, you would like a type I error of only 1 percent. You want to be sure to identify any instances of unusual absences. If some are present, you will…4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (µ = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? COr is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. %3D c. Which test statistic and sampling distribution under the null should we use? O i. z-score; standard Normal O ii. t-statistic; Student'st
- Table 1 shows the distribution of the opinions of US adults who are married on how long they could go between jobs without any income and still be able to pay all their bills on time. A researcher believes that the distribution of the US adults who are not married is different from those that are married provided in table 1. The researcher randomly selects 250 US adults who are not married and ask them how long they could go between jobs without any income and still be able to pay their bills on time (Table 2). At alpha =0.01, are the distributions different? Table 1 Response Percentage None 33 One month 15 2 months 11 3 months 7 4 months 4 5 months 3 More than 5 months 25 Not sure 2 Total 100 Table 2 Response Frequency, f None 83 One month 46 2 months 37 3 months 11 4 months 9 5 months 7 More than 5 months 52 Not sure 5 What is the P-value?…4. Researchers working for a sports drink company would like to know if a new blend if its popular sports drink can help improve marathon runners' final running time. Marathon times, Y, are known to follow a Normal distribution. Suppose that runners using the old blend sports drink have a mean finishing time of 300 minutes (H = 300 minutes). A random sample of 20 runners was selected to use the new blend of sports drink in a marathon, finishing with an average time of 270 minutes and a standard deviation of 20 minutes (y = 270 min, s = 20 min). Can it be claimed that the new blend lowers finishing times? Or is it possible that random chance alone can explain the discrepancy? Carry out a hypothesis test of the true mean u using the 4- step procedure. Set your alpha-level to 0.05. a. Which is the correct null hypothesis? O i. Ho: µ = 300 min O ii: Ho: µ = 270 min %3D O ii. Ho: µ < 300 min iv: Ho: µ < 270 minNumber 16
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- If the grades of students in Principles of statistics are distributed through the N ( 60 , 100 ) , then the percentage of students with grades between 65 and 70Suppose we are counting successes in a Poisson process where we expect 12 successes per hour. How many successes are expected during a 25 minute period?It is better to Select one: the data-ink ratio, when presenting data in a graph. Stabilize Maximize The correct answer is not listed Minimize