(i) Claim size, X, has mean u and variance 500. (ii) The random variable u has a mean of 1000 and variance of 50. (iii) The following three claims were observed: 750, 1075, 2000 Calculate the expected size of the next claim using Bühlmann credibility. (A) 1025 (B) 1063 (C) 1115 (D) 1181 (E) 1266
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- Suppose that the City of Chicago is interested in potential revenues if they introduce a tolling station near O'Hare. Further suppose that the average time between cars is only 2.4 seconds; what is the variance of the distribution?A union of restaurant and foodservice workers would like to estimate the mean hourly wage, μ, of foodservice workers in the U.S. this year The mean hourly wage last year was $8.08, and there is good reason to believe that this year's value is different from last year's. The union decides to do a statistical test to see if the value has indeed changed. The union chooses a random sample of this year's wages, computes the mean of the sample to be $7.78, and computes the standard deviation of the sample to be $1.10. Based on this information, complete the parts below. (a) What are the null hypothesis Ho and the alternative hypothesis H₁ that should be used for the test? μ X OSO O>0 H₂ : O H₁ :0 0=0 0#0 (b) Suppose that the union decides to reject the null hypothesis. What sort of error might it be making? (Choose one) ▼ (c) Suppose the true mean hourly wage for foodservice workers in the U.S. this year is $8.08. Fill in the blanks to describe a Type I erro A Type I error would be (Choose…Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 37 randomly selected people who train in groups, and finds that they run a mean of 47.7 miles per week. Assume that the population standard deviation for group runners is known to be 3.3 miles per week. She also interviews a random sample of 49 people who train on their own and finds that they run a mean of 49.4 miles per week. Assume that the population standard deviation for people who run by themselves is 4.4 miles per week. Test the claim at the 0.10 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.
- Illustrate the sample covariance of a sample with itself?Fran is training for her first marathon, and she wants to know if there is a significant difference between the mean number of miles run each week by group runners and individual runners who are training for marathons. She interviews 42 randomly selected people who train in groups and finds that they run a mean of 47.1 miles per week. Assume that the population standard deviation for group runners is known to be 4.4 miles per week. She also interviews a random sample of 47 people who train on their own and finds that they run a mean of 48.5 miles per week. Assume that the population standard deviation for people who run by themselves is 1.8 miles per week. Test the claim at the 0.01 level of significance. Let group runners training for marathons be Population 1 and let individual runners training for marathons be Population 2. Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places.4.2.16 What is the difference between random sampling and random assignment and what types of conclusions can be drawn from each?
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- Compute inter quartile range and its coefficient and also find variance and S.D for the following dataClassic frequency9.3-9.7 029.8-10.2 0510.3-10.7 1210.8-11.2 1711.3-11.7 1411.8-12.2 0612.3-12.7 0312.8-13.2 0110 The distribution of the weights of those rowing in a very large regatta may be taken to be normal with mean 80 kg and standard deviation 8 kg. (i) What total weight would you expect 70% of randomly chosen crews of four rowers to exceed? (ii) State what assumption you have made in answering this question and comment on whether you consider it reasonable.Explain the circumstances under which we would need to pool the variance for an independent samples t-test