Suppose that a study is carried out on the performance of the companies WM and TX for which two independent random samples of size 12 of the daily returns are taken fo
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Suppose that a study is carried out on the performance of the companies WM and TX for which two independent random samples of size 12 of the daily returns are taken for each of the companies. It is assumed that the returns have a
a) Calculate the
b) What is the minimum
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- c) A research conducted by SSTA022 Class representative at the University of Limpopo indicates that running increases the lifespan among African men. The mean lifespan of 31 African men runners was 34.0% more than the mean lifespan of 31 inactive African men, with variances reported to be 110.25% and 104.04%, respectively. Assuming the populations to be approximately normally distributed with equal variances. i) Can you conclude that there is a significant increase in the lifespan of the men runners over the inactive men at a = 0.05? ii) Construct a 95% confidence interval for μ₁-M₂-Suppose an airline claims that its flights are consistently on time with an average delay of at most 15 minutes. It claims that the average delay is so consistent that the variance is no more than 15 minutes. Doubting the consistency part of the claim, a disgruntled traveler calculates the delays for his next 25 flights. The average delay for those 25 flights is 22 minutes with a standard deviation of 15 minutes.Given two normally distributed populations with equal means and variances of 100 and 80, what is the probability that samples of size n1 = 25 and n2 = 16 will yield a value of mean "x1 - "x2 greater than or equal to 8?
- 4. It is known that the average weight of babies born in a maternity ward is 3.2 kg and the variance of 0.09 kg 2corresponds to the normal distribution. According to this; a) Assuming that an average of 200 babies are born a day, how many of these babies weigh more than 4 kg? b) What weight is the lightest 5% lighter than babies?3) A professor claims that the final exam grades are more widely dispersed in Principles classes compared to upper-level classes. In a sample of 101 Principles final exams, the standard deviation is 16 while in a sample of 30 upper-level class final exams the standard deviation is 13. Test the hypothesis at the 10% level of significance that the 2 variances are different.The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2 . A random sample of 12 processing times from computer 1 showed a mean of 69 seconds with a standard deviation of 19 seconds, while a random sample of 15 processing times from computer 2 (chosen independently of those for computer 1 ) showed a mean of 59 seconds with a standard deviation of 17 seconds. Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal. Construct a 95% confidence interval for the difference −μ1μ2 between the mean processing time of computer 1 , μ1 , and the mean processing time of computer 2 , μ2 . Then find the lower limit and upper limit of the 95% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least…
- c) A research conducted by SSTA022 Class representative at the University of Limpopo indicates that running increases the lifespan among African men. The mean lifespan of 31 African men runners was 34.0% more than the mean lifespan of 31 inactive African men, with variances reported to be 110.25% and 104.04%, respectively. Assuming the populations to be approximately normally distributed with equal variances. i) Can you conclude that there is a significant increase in the lifespan of the men runners over the inactive men at a = 0.05? (6)Suppose a random sample of size 1000 is selected from a large population where the population mean is 470 and the population standard deviation is 25 find the standard error of the mean of the sampling distribution round answer to four decimal placesThe university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2. A random sample of 12 processing times from computer 1 showed a mean of 67 seconds with a standard deviation of 20 seconds, while a random sample of 11 processing times from computer 2 (chosen independently of those for computer 1) showed a mean of 70 seconds with a standard deviation of 16 seconds. Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal. Construct a 90% confidence interval for the difference u, -4, between the mean processing time of computer 1, µ,, and the mean processing time of computer 2, µ„. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary,…
- 1. (No computer output is accepted) The running time of films of a company (in minutes) has a normal distribution with a mean of 120 mins and a variance of 9 mins?. a) Calculate the probability that a randomly selected film has a running time less than 110 minutes. b) Calculate the probability that a randomly selected film has a running time greater than 125 minutes. c) Calculate the probability that a randomly selected film has a running time between 115 minutes and 127 minutes.A research conducted by SSTA022 Class representative at the University of Limpopo indicates that running increases the lifespan among African men. The mean lifespan of 31 African men runners was 34.0% more than the mean lifespan of 31 inactive African men, with variances reported to be 110.25% and 104.04%, respectively. Assuming the populations to be approximately normally distributed with equal variances.i) Can you conclude that there is a significant increase in the lifespan of the men runners over the inactive men at ? = 0.05? ii) Construct a 95% confidence interval for ?1 − ?2.The university data center has two main computers. The center wants to examine whether computer 1 is receiving tasks that require processing times comparable to those of computer 2 . A random sample of 14 processing times from computer 1 showed a mean of 54 seconds with a standard deviation of 20 seconds, while a random sample of 9 processing times from computer 2 (chosen independently of those for computer 1 ) showed a mean of 61 seconds with a standard deviation of 19 seconds. Assume that the populations of processing times are normally distributed for each of the two computers and that the variances are equal. Construct a 95% confidence interval for the difference −μ1μ2 between the mean processing time of computer 1 , μ1 , and the mean processing time of computer 2 , μ2 . Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your responses to at least two decimal places. (If necessary, consult a…