Example: A tensile strength of synthetic fabric have a normal distribution with 600 newton mean and 64 variance. The buyer of the fabric wants the breaking force to be at least 585 newtons. Therefore, what is the probability that any randomly selected sample fabric will meet this requirement?
Q: If the standard Z value of a random Ferdin drawn from a normal distribution populason with an…
A: Given Mean=mu=80 Variance=sigma^2=400 Z=1.2
Q: If Y1, Y2, ... , Yn denote a random sample from the normal distribution with unknown mean u and…
A:
Q: A U.S. government survey in 2007 said that the proportion of young Americans that earn a high school…
A: Solution: Given information: n=100 Sample size p= 0.87 Population proportion.
Q: population is normally distributed. Complete parts (a) through (e) below. nts O A. Ho: o+1.11 OB.…
A: Solution
Q: Suppose that X is a random variable with mean 30 and standard deviantion 4. Suppose Y is a random…
A:
Q: A snack food manufacturer estimates thất thế claim and finds that a random sample of 22 servings has…
A:
Q: . A cement product manufacturer is making capstones in a circular shape. The manager has taken a…
A:
Q: Suppose that X is a random variable with mean 30 and standard deviantion 4. Suppose Y is a random…
A: Given that For X E(X) = 30 , Sd(X) = 4 For Y E(Y) = 50 , Sd(Y) = 8 Corr(X,Y) = 0.50
Q: c) A student is working on his science fair project. He hypothesizes that the average height of a…
A: For the distribution of the height of plants, it is hypothesized that the average height is 10 cm,…
Q: To obtain a maximum amount of variance, an item ought to have a degree of difficulty of what?
A: To obtain a maximum amount of variance an item ought to have a degree of difficulty is the number of…
Q: The average stock price for a company is $30, and the variance is 67.24. Assume that the stock…
A: From the provided information, The average price for a company is $30 and variance is $67.24. That…
Q: 5. A bolt manufacturer makes a type of bolt to be used in airtight containers. The manufacturer…
A:
Q: 20. The maximum tension that can be tolerated by a certain type of rope is normally distributed with…
A:
Q: 2. A department store receives an average of 5 returned items per day. The probability that a…
A: A discrete random variable X is said to follow Poisson distribution with parameter , if its…
Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…
A: L
Q: Suppose that you draw a random sample from a population where you know the population mean is 36 and…
A:
Q: Construct a 95% confidence interval for the ratio of the variances. [ Write only the final result […
A: Using Minitab Step 1: Go to Stat>Basic statistics > 2 variances Step 2: Put the following…
Q: the probability that the sample mean is between 448 and 453 is closest to _______.
A: Let M be the sample mean for the sample of size n = 100.
Q: Suppose that the random variable X measures the number of hot dogs purchased in a food court in an…
A: CorX,Y=0.75VX=VY=36W=2X+3Y
Q: Glaucoma is a disease of the eye that is manifested by high intraocular pressure. The distribution…
A: The mean (µ) is 15 mm Hg.The variance is 9 mm Hg.The standard deviation is square root of the…
Q: Under imperfect multicollinearity A. the OLS estimator will have a large variance. В. there will be…
A:
Q: Question 2. What is the probability that between 85 and 120 complaints are received in one week? Use…
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: 5. A normal population has mean 200 and variance 49. How large must the random sample be if we want…
A:
Q: In a manufacturing process a machine produces bolts that have an average length of 3 inches with a…
A: Z-score: The z-score value is a numerical measurement that describes a value of the relationship to…
Q: Suppose that we have disjoint normal populations A and B and we want to find the standard error…
A: Denote μ1, μ2 as the true averages of populations A and B, respectively.
Q: The aim of a study is to test the ratio of variances in the weight of two groups of rats being under…
A: A confidence interval, in statistics, refers to the probability that a population parameter will…
Q: 2. A department store receives an average of 5 returned items per day. The probability that a…
A: A discrete random variable X is said to follow Poisson distribution with parameter λλ, if its…
Q: 5. A manufacturer of digital recorders claims the distribution of life of its recorders can be…
A: Let X1,X2,....,X64 be the samples from this population. Sample mean, X = 164∑i=164Xi Xi are normally…
Q: A sporting goods manufacturer claims that the variance of the strength of a certain fishing line is…
A:
Q: The aim of a study is to test the ratio of variances in the weight of two groups of rats being under…
A:
Q: transect is an archaeological study area that is mile wide and 1 mile long. A site in a transect is…
A: Given : Let x represent the number of sites per transect. In a section of Chaco Canyon, a large…
Q: 5) The sticker on Nestle's crunch bar reads 25 grams. Suppose that the probability distribution of…
A: Given Data Population Mean,μ = 26.0 Population Standard Deviation,σ = √2.5 = 1.5811
Q: 3. 100 students measure the height of a building (in metres). If the height is L, assume each…
A: The probability that the average of the 100 measurements is wrong by more than 0.5m is obtained…
Q: The aim of a study is to test the ratio of variances in the weight of two groups of rats being under…
A:
Q: 9. Final: For recent period of 100 years, there were 530 Atlantic hurricanes. Assume the Poisson…
A:
Q: 2. A department store receives an average of 5 returned items per day. The probability that a…
A: A discrete random variable X is said to follow Poisson distribution with parameter , if its…
Q: The number of words in the active vocabulary of children of a particular age is normally distributed…
A: Obtain the minimum number of words the child would have to know to be in the top 2%. The minimum…
Q: 2. A department store receives an average of 5 returned items per day. The probability that a…
A: Let X be the number of returned items i.e X~Pois(λ=5) Let Y be the number of replace item n=sample…
Q: Of all customers purchasing automatic garage-door openers, 57% purchase a chain-driven model. Let X…
A:
Q: 4. Review the variance function for specific distributions. For Bernoulli, Poisson, Gamma, and…
A: The variance of Bernoulli distribution with parameter p is p*(1-p). The variance of Poisson…
Q: The aim of a study is to test the ratio of variances in the weight of two groups of rats being under…
A: Given n1=16, n2=13, S1=1.05 and S2=1.15 Alpha=level of significance=0.05 We want to find the 95% CI…
Q: One sample has n=7 and SS=35 and a second sample has n =17 and SS =45. What is the pooled variance…
A: Given information: The two sample statistics is given as, Sample 1 n1=7SS1 = 35 Sample 2 n2 = 17SS2…
Step by step
Solved in 2 steps with 1 images
- The aim of a study is to test the ratio of variances in the weight of two groups of rats being under a certain drugs A ( group 1) and B ( group 2) . A random sample of 16 rats was selected from group land 13 rats from group 2, Then their weight were recorded. The results are shown in the following table n Mean Median sd group 1 16 3.5 3.0 1.05 group 2 13 2.20 2.0 1.15 F15,12,0.05 = 0.404 F 19,16,0.025 = 0.386 F16,10,0.025 =0.335| F16,10,0.05 =0.401 F15,12,0.1 =0.496 F19,16,0.05 =0.451 F10,16,0.025 = 0.286 F 12,15,0.05 =0.382 F16,19,0.025 = 0.371| F10,16,0.05 = 0.354 F12,15,0.1 =0.475 F16,19,0.05 = 0.437| Construct a 95% confidence interval for the ratio of the variances. [ Hint: because of the rounding select the closest interval ] O a. None of these O b. [ 2.488, O0.238 ] O c. [ 2.160 , 0.309] O d. [2.063 , 0.318]1. A population has the numbers 2, 4, 6, 8, 10, 12. Then two samples are taken at random and without replacement. If it is known µ-7. Find: a. Population variance (0²) b. The mean standard deviation of the sample (ox²)An urn contains 7 black and 18 white balls. A ball is randomly drawn from the urn. Let X = 1 if a white ball is drawn and let X = -1 if a black ball is drawn. Find the following a) mean of X b) variance of X Please provide your working and round your answers to 2 decimal places
- An exponential random variable X has a true mean value of 5. Suppose we observe n =17 independent realizations of this random variable, x1, x2,..., n. What is the variance of the sample mean?suppose that we have disjoint normal populations A and B and we want to find the standard error estimate for estimating the difference in their means. We have an IRS from A of size 8 with variance 25 and an IRS from B of size 9 with variance 16. What is the resulting standard error estimate if we assume both populations have the same population variance?2. A department store receives an average of 5 returned items per day. The probability that a returned item has an available replacement is 0.65. [Hint: there are two separate distributions here.] d. e. f. Calculate the probability that there are 4 returned items and none has available replacements in a certain day. Calculate the variance and the mean of the returned items. Calculate the variance and the mean of the replaced items. 2
- 1. Six batteries taken at random from a large lot were subjected to life tests with the following results: 19, 22, 18, 16, 25, and 20 hours. Find the probability that the sample mean of x= 20 hours, as observed here, or one less than 20 hours could arise if the true mean of the lot of batteries is 21.5 hours, assuming a known variance of o = 10 hours, for the individual batteries in the lot. %3DHi, Respected M'am! Could please solve this question ASAP. Q: Marks on a CSS exam were normally distributed with a mean of 60 and a variance of 36.a. Find the probability that a randomly selected CSS exam will have a mark of at least 66?b. What percentage of CSS exams will have marks between 48 and 51?c. If the top 3.92% of CSS marks receive merit awards, what is the lowest mark eligible for an award?d. If there were 334 CSS exams with marks of at least 69, how many students took the exam?Suppose that we have disjoint normal populations A and B with equal but unknown population variances. Suppose we plan a sample of size 12 from from population A and a sample of size 6 from population B which we will pool to form the pooled variance. If the sample variance for the sample from population A is 25 and the sample variance for the sample from population B is 36, then what is the pooled sample variance?
- A transect is an archaeological study area that is mile wide and 1 mile long. A site in a transect is the location of a significant archaeological find. Let x represent the number of sites per transect. In a section of Chaco Canyon, a large number of transects showed that x has a population variance . In a different section of Chaco Canyon, a random sample of 23 transects gave a sample variance for the number of sites per transect. Use an to test the claim that the variance in the new section is greater than 36.4. What is the level of significance? 90% 1% 5% 95% 10%Indrilling a vertical wellbore, the spacing between major fractures are recorded. It has been found that this spacing is having a mean of 180o ft and a variance of 3,240,000 ft In the first 2000 ft drilling, there was no present of major fracture in the well. Determine the probability that there is a major fracture at the depth of 2000-3500 ft. Select one: a.0.57 b.o.43 C. O.19 do 82Let Y be the life in hours of a battery. Assume Y is normally distributed with mean 200 and variance o?. If a purchaser of such batteries requires that at least 90% of the batteries have lives exceeding 150 hours, what is the largest value o can be and still have the purchaser satisfied?