} Let X. .... X, be a sample from a uniform distribution on [0, 0], where 0 e [1, 2] is an unknown parameter. Find an unbiased estimator for 0 of variance less than 1/10.
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- An automotive part must be machined to close tolerances to be acceptable to customers. Production specifications call for a maximum variance in the lengths of the parts of 0.0004. Suppose the sample variance for 30 parts turns out to be s2 = 0.0005. Using a = 0.05, test to see whether the population variance %3D specification is being violated. Но : На : - Select Hypothesis - - Select Hypothesis - Test statistic = (to 2 decimals, if required) The p-value is Select - Select/Reject null hypothesis - - Interpret your conclusion. -in a recent year , the mean number of strokes per hole for a famous golfer was approximalety 3.6 A.) find the variance and standard deviation using the fact that the variance of a possion distribution is o^2=u b) how likely is this golfer to play an 18-hole round and have more than 72 strokes?The admissions office at Memorial Hospital recently stated that the mean age of its patients was μ= 43 years with σ = 21.2 years. A random sample of 29 ages obtained from the admissions office records had a mean of 49.9 years. A hospital administrator doesn’t believe that a mean of 43 years is correct. Calculate the critical value AND answer does the evidence support the hospital’s claim (H_o) or the administrator’s claim (H_a) at the α = 0.05 level?
- A soft drink bottler is interested in the smooth operation of the machine used to fill cans. In particular, you want the standard deviation of the filling process to be less than 0.2 fluid ounces; otherwise, there will be a higher than tolerable percentage of cans that will not be completely full.Assume that the fill volume is approximately normally distributed. A random sample of 20 cans results in a variance of S ^ 2 = 0.0225 (ounces) ^ 2. The image shows the creation of a 95% confidence interval Create an upper 95% confidence intervalA carpet manufacturing company is comparing the tensile strengths of two different types of synthetic fiber. Synthetic fiber A used in manufacturing carpet has tensile strength that is normally distributed with mean 75 psi and standard deviation 8 psi, and synthetic fiber B has tensile strength that is 70 psi and standard deviation 12 psi. Random sample of nA = 16 and nB = 9 of fiber specimens are selected. Find the probability that the sample mean of fiber specimen A exceeds the sample mean of fiber specimen B by 6Suppose a simple random sample of size n = 50 is obtained from a population whose size is N = 25,000 and whose population proportion with a specified characteristic is p= 0.6. Determine the standard deviation of the sampling distribution of p^.
- Heating systems based on natural gas and cogeneration are on offer for use in greenhouse. A sample of 16 greenhouses using natural gases produces an average monthly cost of Rs. 35,000/- with a standard deviation of Rs. 800/-. Another sample of 14 greenhouses with cogeneration facility produces an average monthly cost of Rs. 32,800/- with a standard deviation of Rs. 1,000/-. At α = 0.05, determine if the average cost of the two systems are significantly differentA scientist studying babies born prematurely would like to obtain an estimate for the mean birth weight, u, of babies born during the 24 week of the gestation period. She plans to select a random sample of birth weights of such babies and use the mean of the sample to estimate u. Assuming that the th population of birth weights of babies born during the 24 week has a standard deviation of 2.5 pounds, what is the minimum sample size needed for the scientist to be 95% confident that her estimate is within 0.6 pounds of u? Carry your intermediate computations to at least three decimal places. Write your answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements). (If necessary, consult a list of formulas.) Continue %24uestion 12 of 15> Suppose that Jason recently landed job offers at two companies. Company A reports an average salary of $51,500 with a standard deviation of $2,175. Company B reports an average salary of $46,820 with a standard deviation of $5,920. Assume that salaries at each company are normally distributed. Jason's goal is to secure a position that pays $55,000 per year. What are the z-scores for Jason's desired salary at Company A and Company B? Please round your answers to two decimal places. Company A z: Company B z: At which company is Jason more likely to obtain his desired salary of $55,000 per year? O Company A, because the z-score for $55,000 at Company A is greater than the z-score for $55,000 at Company B. O Company A, because the z-score for $55,000 at Company A is less than the z-score for $55,000 at Company B. O Company B, because the z-score for $55,000 at Company B is less than the z-score for $55,000 at Company A. O Company B, because the z-score for $55,000 at…
- The diameter of steel rods manufactured on two different machines is being investigated. Suppose that the diameter of a rod is normally distributed, despite which machine is used to make the rod. Independent samples of n1=15 rods (from the first machine) and n2=17 rods (from the second machine) are randomly selected. The sample mean and sample variance of the first sample (of 15 rods) are xbar1=8.73, s1^2=0.34, respectively. The sample mean and sample variance of the second sample (of 17 rods) are xbar2=8.68 and s2^2=0.39, respectively. Based on these two samples, one can be 95% confident that that ratio of the two population variances, sigma1^2/sigma2^2 (i.e., the population variance of diameter of steel rods manufactured on the first machine over that on the second machine). Based on the data from these two independent random samples that we assume to arise from two normal populations, we would like to test the null hypothesis that the two population variances are the same versus the…Many college graduates who are employed full-time have longer than 40-hour work weeks. Suppose that we wish to estimate the mean number of hours, μ, worked per week by college graduates employed full-time. We'll choose a random sample of college graduates employed full-time and use the mean of this sample to estimate μ. Assuming that the standard deviation of the number of hours worked by college graduates is 6.10 hours per week, what is the minimum sample size needed for us to be 95% confident that our estimate is within 1.5 hours per week of μ? Carry the intermediate computations to at least three decimal places. Compose the answer as a whole number (and make sure that it is the minimum whole number that satisfies the requirements).The diameter of steel rods manufactured on two different machines is being investigated. Suppose that the diameter of a rod is normally distributed, despite which machine is used to make the rod. Independent samples of n1=15 rods (from the first machine) and n2=17 rods (from the second machine) are randomly selected. The sample mean and sample variance of the first sample (of 15 rods) are xbar1=8.73, s1^2=0.34, respectively. The sample mean and sample variance of the second sample (of 17 rods) are xbar2=8.68 and s2^2=0.39, respectively. Based on these two samples, one can be 95% confident that that ratio of the two population variances, sigma1^2/sigma2^2 (i.e., the population variance of diameter of steel rods manufactured on the first machine over that on the second machine), lies between [Put Answer Here] and [Put Answer Here] . Please keep three digits past the decimal point.