4-P (X10 a) = 0.90 then a = 5. If X~ N (30, o²), if n = 10, s² = 5 then p (X <32) is
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- A forest consists of two types of trees; young (between 0 and 3 m tall) and adults (more than 3 m). Each year, 20% of young trees die, 10% sell for $20 each, 30% remain between 0 and 3 m, and 40% grow taller than 3 m. Each year, 40% of adult trees sell for $50, 20% sell for $20, 30% remain in the forest, and 10% die. What percentage of the trees planted sell for $50?Suppose insurance agency services customers who have both a homeowner’s policy and an automobile policy. For each type of policy, a deductible amount must be specified. For an automobile policy, the choices are TZS100 and TZS250, whereas for a homeowner’s policy, the choices are 0, TZS100, and TZS200. Suppose also that an individual is selected at random from the agency’s files. Let X = his deductible amount on the auto policy and Y = his deductible amount on the homeowner’s policy (a) What are the possible (X, Y) pairs? (b) Suppose the joint probability mass function is given by the insurance company in the accompanying joint probability in the following Table Table: Discrete Joint Probability Distribution for X and Y P(x,y) 0 100 200 X 100 0.2 0.10 0.2 250 0.05 0.15 0.3 What is p (100, 100) What is P (Y greater than 100)?Suppose that there are 4 deaths due to stomach can- cer among workers in a tire plant from 1/1/64 to 12/31/83, while 2.5 are expected based on U.S. mortality rates. Provide a 95% CI for the expected number of deaths from stomach cancer over 20 years among the tire workers. Is the number of cases of stomach cancer excessive?
- The personnel department of a large corporation gives two aptitude tests to job applicants. From many years’ experience, the company has found that a person’s score for the first test, Y1, is normally distributed with μ1 = 50 and σ1 = 10. The scores for the second test, Y2, are normally distributed with μ2 = 100 and σ2 = 20. A composite score, Y, is assigned to each applicant, where Y = 3Y1 + 2Y2. To avoid unnecessary paperwork, the company automatically rejects any applicant whose composite score is below 375. If six individuals submit résumés, what are the chances that fewer than half will fail the screening tests? Hint: Use the fact that the sum of two independent normal random variables is also a normal random variable.Q9: Assume that a researcher wants to estimate the proportion of “A” grade scorers in STAT101 course for the population of SEU students in 2020. Assume also that the proportion of “A” grade scorers in 2020 is not known. How many SEU students must be surveyed from STAT101 course in order to be 90% confident and the margin of error should not exceed two percentage points? (Given zα/2 = 1.64). 1- 1821 2- 1781 3- 1618 4- 1681Recent studies have shown that about 23% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 400 patients and find that 80 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 23%. Give a numerical value for each of the following concepts. (a) The population proportion, p, of obese patients in the medical clinic.p = (b) The proportion of obese patients, p̂, for the sample of 400 patients.p̂ = (c) The standard error, s.e., of p̂. (Round your answer to four decimal places.)s.e.(p̂) =
- An ecologist is considering two different positions in which to setup his solar energy collector. He takes two identical collector places one in each of the positions and measure the energy in at collected as 10 consecutive days. Days 1 2 3 4 5 6 7 8 9 10 Position X 2.6 5.4 3.2 5.0 4.3 2.7 2.6 3.9 6.0 1.6 POSITION y 2.8 5.1 3.1 6.0 4.6 3.2 2.9 4.5 6.2 2.2 Test whether the difference of mean is significance ? what will be the answerSuppose that a magazinemagazine predicted that Candidate A would defeat Candidate B in a certain election. They conducted a poll of its subscribersits subscribers with a response rate of 2424%. On the basis of the results, the magazinemagazine predicted that Candidate A would win with 57% of the popular vote. However, Candidate B won the election with about 62% of the popular vote. At the time of this poll, most subscribers to the magazinesubscribers to the magazine belonged to the party of Candidate A. Name two biases that led to this incorrect prediction.Choose the correct answer below. A.Nonresponse bias: The low response rate caused bias.Response bias: The way the poll was administered showed bias. B.Sampling bias: Using an incorrect frame led to undercoverage.Nonresponse bias: The low response rate caused bias. C.Sampling bias: Using an incorrect frame led to undercoverage.Response bias: The way the poll was administered showed bias. Click to select your answer.An experiment is conducted to determine how many heavy duty clocks will survive for a 24-hour period after being exposed to an extreme amount of heat. 62 heavy-duty clocks are exposed to an extreme amount of heat and the clock makers monitor the heavy duty clocks for 24 hours to determine whether or not they will stay working within that time period. It is known by the clock making company that their clocks have a 48% chance of dying within 24 hours when exposed to such heat. Let X = the number of clocks that do not work after 24 hours. What is the mean of this binomial random variable? Report your answer to two decimal places. What is the standard deviation of this binomial random variable? Round your answer to two decimal places.
- Recent studies have shown that about 39.4% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 600 patients and find that 204 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 39.4%. Give a numerical value for each of the following. (a) the population proportion, p, of obese patients in the medical clinic p = (b) the proportion of obese patients, p̂, for the sample of 600 patients p̂ = (c) the standard error, s.e., of p̂ (Round your answer to four decimal places.) s.e.(p̂) = (d) the mean of the sampling distribution of p̂ (e) the standard deviation, s.d., of the sampling distribution of p̂ (Round your answer to four decimal places.)Recent studies have shown that about 16% of American adults fit the medical definition of being obese. A large medical clinic would like to estimate what percentage of their patients are obese, so they take a random sample of 500 patients and find that 60 are obese. Suppose that in truth, the same percentage holds for the patients of the medical clinic as for the general population, 16%. Give a numerical value for each of the following concepts. (a) The population proportion, p, of obese patients in the medical clinic.p = (b) The proportion of obese patients, p̂, for the sample of 500 patients.p̂ = (c) The standard error, s.e., of p̂. (Round your answer to four decimal places.)s.e.(p̂) = (d) The mean of the sampling distribution of p̂.mean = (e) The standard deviation, s.d., of the sampling distribution of p̂. (Round your answer to four decimal places.)s.d.(p̂) =1. Gravetter/Wallnau/Forzano, Essentials - Chapter 5 - End of Chapter question 25 For each of the following, identify the exam score that should lead to the better grade. A score of X = 60 on an exam with µ = 72 and σ = 12, or a score of X = 70 on an exam with µ = 82 and σ = 8? X = 60 corresponds to z = , and X = 70 corresponds to z = . Therefore,both scores produce the same grade . A score of X = 85 on an exam with µ = 70 and σ = 10, or a score of X = 58 on an exam with µ = 49 and σ = 6? X = 85 corresponds to z = , and X = 58 corresponds to z = . Therefore,the better grade would be X = 85, µ = 70, σ = 10 . A score of X = 32 on an exam with µ = 24 and σ = 4, or a score of X = 26 on an exam with µ = 20 and σ = 2? X = 32 corresponds to z = , and X = 26 corresponds to z = . Therefore,the better grade would be X = 26, µ = 20, σ = 2 .
