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##### maths problems - The probability distribution shown here describes a population

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Question;1.The probability distribution shown here describes a population1.The probability distribution shown here describes a population of measurements that can assume values of 4, 5, 6, and 7, each of which occurs with the same relative frequency.x p(x)4 0.255 0.256 0.257 0.25a. Calculate the mean of all the different samples of n=2 measurements that can be selected from this population. Select the correct choice below.A. Sample 4.4/ 4.5/ 4.6 /4.7/ 5.5/ 5.6/ 5.7/ 6.6/ 6.7/ 7.7X ___ ___ ___ ___ ___ ___ ___ ___ ____ ____ Sample 4.4/ 4.5/ 4.6 /4.7/ 5.4/ 5.5/ 5.6/ 5.7X ___ ___ ___ ___ ___ ___ ___ ___B. Sample 6.4 / 6.5/ 6.6/ 6.7/ 7.4 / 7.5 / 7.6 / 7.7 / X ___ ___ ___ ___ ___ ___ ___ ____ C. Sample 4.5/ 4.6 /4.7/ 5.4/ 5.6/ 5.7/ 6.4/ 6.5/ 6.7/ 7.4 / 7.5/ 7.6X ___ ___ ___ ___ ___ ___ ___ ___ ___ __ ___ ___b. If a sample of n=2 measurements is randomly selected from the population, what is the probability that a specific sample will be selected?____ (Type exact number in the simplest form)c. Complete the sampling distribution table.x Probability Type exact numbers in the simplest formd. Construct a probability histogram for the sampling distribution of x. Does it look like the this histogram?#######################################################################2. Suppose a random sample of n=25 measurements is selected from a population with a mean? and standard deviation?. For each of the following values of? and? give the values of ux- and?x-a. u=11?=4,b. u=121?=25,c. u=22?=30, d. u=11?=120a.ux-= __?-x = ____ (type an integer or a decimal)b.ux-= __?-x = ____ (type an integer or a decimal)c.ux-= __?-x = ____ (type an integer or a decimal)d. ux-= __?-x = ____ (type an integer or a decimal)####################################################################3. A random sample of n=100 observations is selected from a population with? =29 and?=22. Approximate the probabilities shown below.Round to three decimal placesa.P(x? 28) = b. P(22.1? x? 26.8) =c. P(x? 28.2) =d. P(x? 27.0) =#######################################################################4. Researchers conducted a study of variety in exercise workouts. A sample of 120 men and women were randomly divided into three groups with 40 people per group. Group 1 members varied their exercise routine in workouts group 2 members performed the same exercise at each workout and group 3 members had no set schedule or regulations for their workouts.A. By the end pf the study, 18 people had dropped out of the first exercise group. Estimate the dropout rate for exercises who vary their routine in workouts. Use 955 confidense interval The 95% confidence interval is ___ ___ 5. A random sample of size n= 20 was drawn from a population of size N = 200. The measurements shown were obtained3827442650192448484237481839392325405450a. Estimate u with an approximate 95% confidence intervalb. Estimate p the proportion of measurements in the population that are greater than 30 with an approximate 95% confidence interval##################################################6. Suppose you want to estimate a population proportion, p, and p^=0.33 and N=5,700, and n=1,900. Find an approximate 95% confidence interval for p.An appropriate 95% confidence interval for p is __ + ___#####################################################7. In order to evaluate the reasonableness of firm?s stated total value of its parts inventory, as auditor randomly samples 50 of the total 600 parts in stock, process each part, and reports the results shown in the table. Use this information to answer the following questionPart Price Sample Size$61 8$92 3$63 10$98 8$65 5$105 6$104 3$14 7a. Give a point estimate of the mean of the value of the parts inventory. $___ (round to the nearest cent as needed).b. Find the estimate standard error of the point estimate of part a.$___ (round to the nearest cent as needed)c. Find the limit

Paper#61017 | Written in 18-Jul-2015

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