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The data below shows the heights in inches of 10 students in a class.StudentHeight, in inchesStudent 1- 53 Student 2-52.5Student 3-54Student 4-51Student 5-50.5Student 6-49.5Student 7-48Student 8-53Student 9-52Student 10-50The standard error of the sample mean for this set of data is __________. Answer choices are rounded to the hundredths place.1.871.770.590.19

Managers of a sports arena’s parking garage keep track of the duration of time customers park their cars in the garage. Shown in the stem-and-leaf display below is a sample of such parking durations (in minutes). For this sample, 18 of the durations were from weekday use of the garage, and 19 were from weekend use. Answer the questions that follow.Parking durations (minutes)WeekdayWeekend8 1 153 6 9 7 5 4 1 167 9 8 7 5 4 4 3 171 4 5 6 7 8 8 7 5 0 182 3 4 8 8 9 8 192 6 8 Key: ← 151 1| 15 →|3 153(a)What were the ranges of parking durations for the two groups?WeekdayWeekend(b)Which group had the higher median parking duration?Weekday Weekend The medians were the same(c)Which group had more parking durations in the 150s?Weekday Weekend Each had the same

A large automobile assembly company is trying to decide whether to buy tires from A or B brand for your new models. To help you make a decision, a experiment where 18 tires of each brand are used. The tires are used until they are end up. The results are:Brand A: x̅̅1̅ = 37900 kilometersS1 = 5100 kilometersBrand B: x̅̅1̅ = 39800 kilometersS2 = 5900 kilometersTest the hypothesis that there is no difference in the average wear of the 2 brands of tires. Assume that the populations are distributed approximately normally with equal variances. Use a P value.

Religion and Theology Assignment Writing ServiceHistorically, 5% of circuit boards manufactured at ABC Company are defective. Consider a random sample of 25 circuit boards. Calculate the following probabilities:Round probability answers to four decimal places, use leading zero before decimal place for values between 0 and 1. a. P(the sample will have at most 2 boards that are defective)b. P(the sample will have at least 5 boards that are defective)c. P(the sample will have at least 1 but not more than four boards that are defective)

An important quality characteristic used by the manufacturers of ABC asphalt shingles is the amount of moisture the shingles contain when they are packaged. Customers may feel that they have purchased a product lacking in quality if they find moisture and wet shingles inside the packaging. In some cases, excessive moisture can cause the granules attached to the shingles for texture and colouring purposes to fall off the shingles resulting in appearance problems. To monitor the amount of moisture present, the company conducts moisture tests. A shingle is weighed and then dried. The shingle is then reweighed, and based on the amount of moisture taken out of the product, the pounds of moisture per 100 square feet are calculated. The company would like to show that the mean moisture content is less than 0.35 pound per 100 square feet.The file (A

Suppose a machine tracks the number ofonisnotofinisof vehicles that cross a particular bridge a given day, but the machine guaranteed to work perfectly. The machine independently detects each arriving vehicle with probability p. Suppose also that the number vehicles arriving a given day N a Poisson random variable with parameter λ. Let Z be the number vehicles counted. (a) In terms of λ and p, what is the probability that Z correctly counts the number of vehicles arriving? (b) What is the probability that Z differs from N by at most two? (c) Compute the mean and variance of ZI solved (a) and (c) that P(Z=N) = (e^-λ)(e^λp)Z is the Poisson random variable with mean and variance λpFor (b), it might be probability that P(N=n,Z=n 1) P(N=n,Z=n 2)I want to know the answer of (b) step by step

Answer the following using the R statistical computing platform. Please should include the code you wrote plus the output of such code and English rhetoric / coding comments where necessary.QuestionUsing the “accept-reject” algorithm, generate observations from the binomial distribution as target distribution and the uniform distribution as proposal distribution. Reverse the roles and carry out the same simulation and note the differences.

identify the sampling designs you to select computer circuits produced by manufacture to estimate the lifespan of the circuit. Give a complete Justification of your answer and any sources of bias that are clearly present based on the sampling design, using relevant vocabulary. Provide your answers in complete sentences which of these would provide representative samples from the population? For all parts of #1 a-d.

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