Production average of an agricultural enterprise for product A is 40 g and its standard deviation is 10 g are known to be and show normal distribution. According to this;
Q: The historical Average rainfall for Albany N,Y is 36.9 inches a year, with standard deviation of 4.3…
A: To test:H0:μ=36.9H1:μ>36.9
Q: A random sample of 30 alloy of TIN and LEAD contains, on average, 100 grams of LEAD with a standard…
A: From the provided information, it is given that: x¯ (sample average)=100n (sample size)=30s (sample…
Q: . Product X’s demand is normally distributed with mean 150 and standard deviation 50. Product Y’s…
A: The correlation shows a relationship between 2 variables.
Q: Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7…
A: Let , random variable X be the replacement times for washing machines The random variable X…
Q: If x is a normally distributed variable with µ = 100 and σ = 5, find the lower and upper x values…
A: Let X is normally distributed with mean µ and standard deviation σ. Let α be a significance level…
Q: The time to repair of an equipment follows a lognormal distribution with a MTTR of 2 hours and a…
A:
Q: The Great West Mining Company has struck the mother lode in their newly acquired gold field. They…
A: From the provided information, Mean (µ) = 228 oz Standard deviation (σ) = 70 oz X~N (228, 70)
Q: In a sample of 13 randomly selected high school seniors, the mean score on a standardized test was…
A: Given information, x¯=1185s=160.7μ=1016n=13 t value: t=x¯-μsn =1185-1016160.713 =3.79
Q: The mean yearly rainfall in Sydney, Australia, is about 137 mm and the standard deviation is about…
A: The mean is 137 and the standard deviation is 69.
Q: The mean weight of people living in a certain residential area has been 60 Kgs in the recent years.…
A: It is given that the mean weight of people living in a certain residential area has been 60Kg. We…
Q: Find the mean and standard deviation for each uniform continuous model. (Round "Mean" answers to 1…
A:
Q: The average exam score is 66 with a variance of 20. Your exam has a Z score of 0.12. What is your…
A: The z score indicates how many standard deviations that a data points away from the mean. It can be…
Q: Q1: Lifetimes of a certain component are lognormally distributed with parameters p = 1 day and o =…
A: Given: μ = 1 and σ= 0.5 The mean lifetime of these components is computed as, Mean=eμ+σ22…
Q: An article reports that the average initial rate of absorption (in g/min·cm2) for a sample of five…
A: Solution: From the given information, x-bar is 4500.8 and Sx=271.6, y-bar is 1299.8, Sy=329.8, nx=5…
Q: The weight X of eggs produced at a particular farm are normally distributed with mean 1.72 ounces…
A:
Q: Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7…
A: The random variable X defined as the replacement times for washing machines. The random variable X…
Q: (a) 10 kg A child who weighs 10 kg is ) standard deviation(3) --Select-- the mean of 9.8 kg. (b) 9.2…
A: X follows a Normal distribution with mean = 9.8 and S.D = 0.2 Then z=(x-mean)/SD = (x-9.8)/0.2…
Q: he fish in my pond have mean length 14 inches with a standard deviation of 2 inches and mean weight…
A: The length of a particular randomly selected fish is reported to be 17 inches. The predicted length…
Q: 7. Stress levels (measured by cortisol volume) in a certain population are normally distributed and…
A: Given values, μ=200σ=24n=9x¯=180
Q: Let Y₁, Y2, ..., Yn be a random sample from a population with a Gamma distribution with parameters a…
A:
Q: A manufacturer of sport shoes must control the water resistance of the product. Water resistance is…
A:
Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 105μ=105…
A: Solution: It is given that adults have IQ scores that are normally distributed with a mean of 105…
Q: When the errors in a regression model have AR(1) serial correlation, why do the OLS standard errors…
A:
Q: The Flemish breed of rabbits have an average weight of 3600 grams. The Himalayan breed has a mean of…
A: Given F1=162 Gram F2=230 Grams Find Average contribution of each
Q: let size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac…
A: Given: μ=1050, σ=150 The corresponding z-value needed to be computed: Therefore, By using the…
Q: A portfolio with a beta of 0.7 with market and residual variance of 10, market variance being 196 ,…
A: Given information: The residual variance is σe2 = 10. The market variance is σM2 = 196. The beta…
Q: Researchers studied the relationship between weight (x) and antler growth (y) in male caribou in…
A: We need to obtain the least squares regression line to predict the antler length of a caribou, using…
Q: I. Hope and Elizabeth who are bestfriends took a college entrance examination. The mean score and…
A: Formula Used: X = μ + Z×σ Solution: 1 μ = 115 σ = 12 Z-score of Hope = 1.5 X = μ + Z×σ X = 115 +…
Q: A specific product has demand during lead time of 100 units, with a standard deviation during lead…
A:
Q: The average exam score is 63 with a variance of 33. Your exam has a Z score of 0.96. What is your…
A:
Q: Weekly downtime of internet services from an internet service provider (in hours) has expected value…
A: Introduction: The expected value of X, the amount of weekly downtime (hours), is E (X) = 0.5; the…
Q: roplet size and drift potential is well known. The paper "Effects of 2,4-D Formulation and…
A: Hello. Since your question has multiple parts, we will solve first 3sub parts question for you. If…
Q: Suppose that the return for a particular investment is normally distributed with a population mean…
A: Solution-: Given: μ=100,σ=15 We want to find what score must a person have to qualify for this…
Q: Researchers are interested in estimating the prevalence of illegal drug use among teenagers aged…
A: Given n=55 P=0.40
Q: let size and drift potential is well known. The paper "Effects of 2,4-D Formulation and Quinclorac…
A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…
Q: Spray drift is a constant concern for pesticide applicators and agricultural producers. The inverse…
A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…
Q: A biology researcher is studying the risk of extinction of a rare tree species in a remote part of…
A: Solution
Q: The weights of a bag of cement admixture produced by a company is approximately normally distributed…
A: Let X be the random variable from normal distribution with mean (μ) = 9.0, variance (σ2) = 0.64 then…
Q: 4. Suppose X1 is normally distributed with a mean of 3 and standard deviation of 0.3. Suppose X2 is…
A: It is given that X1~N(3,0.3) and X2~N(5,0.7). That is, E(X1)=3, SD(X1)=0.3 and E(X2)=5, SD(X2)=0.7.…
Q: A researcher prepared a figure showing sample quantiles as a function of the quantiles of a standard…
A: Introduction: For a normally distributed random variable, X with mean μ, and standard deviation σ,…
Q: Suppose the length of a particular type of snake is normally distributed with a mean of 50 inches…
A: Z test is a type of parametric test. It follows the assumption of normality. It test whether there…
Q: Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100μ=100…
A: The probability that a randomly selected adult has in IQ between 84 and 116 is obtained below:Let X…
Step by step
Solved in 2 steps
- Suppose that replacement times for washing machines are normally distributed with a mean of μ=8.7 years and a standard deviation of σ=1.6 years. Find P25 the replacement time that separates the bottom 25% from the top 75%Suppose you fit a simple Poisson model such that in A = XB where B = 1.9. What would the variance be if x = -0.8 ?Suppose that replacement times for washing machines are normally distributed with a mean of μ= 8.7 years and a standard deviation of σ= 1.6 years. Find and graph P25 the replacement time that separates the bottom 25% from the top 75%.
- Suppose a population has a standard deviation of 10. Assume that we continue to select groups of 100 individuals from the population and calculate the sample means. The variation among all these sample means is measured by o/v(n). Compare the distribution of single observations (x) with that of the means x. (That is, compare the histograms of x and x.) We can conclude that the distribution of x is spread out. In other words, averages vary much than individual observations. less; less less; more more; less more; moreA company manufactures products in its factory in Turkey for sale in Asia. Products sold in different countries differ in terms of the power outlet as well as the language of the manuals. Currently, the company assembles and packs products for sale in individual countries. The distribution of weekly demand in different countries is normally distributed with means and standard deviations as shown in the table Assume that demand in countries to be independent. Given that the lead time from the Turkey factory is (X/4) weeks, how much safety inventory does the company require in Asia if it targets a CSL level of 95 percent?X= 96 b. The company builds a distribution center in Asia. It will ship base products to this center. When an order is received, the center will assemble power supplies, add manuals, and ship the products to the appropriate country. The base products are still to be manufactured in Turkey with the same lead time. How much saving of safety inventory can the company expect…Suppose that monthly income follows a normal distribution with mu=$4.400 and sigma=$1,600 A government agency wants to provide free health care for all individuals who fall below a specific monthly income level but does not want to award this benefit to more than 33% of the population What is the income catoff for this proposed benefit where no more than 33% of the population will qualify (in other words , will fall below this level of income ?
- In a manufacturing industry, the amounts which go into raw materials (Scraps) are supposed to be normally distributed with mean GHC 36. and standard deviation GHC 0.1. Once every 30 minutes a scrap is selected from the production line, and its contents are noted precisely. If the amount of the scrap goes below GHC 35.8. or above GHC 36.2, then the scrap will be declared out of control. i)If the process shifts so that μ = GHC 37 and σ = GHC 0.4, find the probability that a scrap will be declared out of control5. Oxygen demand is a term blologists use to describe the axygen needed by fish and other aquatic organisms for survval. The Environmental Protection Agency conducted a study of a wetland area in Marin County, Californla. In this wetland environment, the mean oxygen demand was u=9.9 mg/L, and a= 1.7 mg/L. (Reference: EPA Report 832-R- 93- 005). Let x be a random varlable that represents oxygen demand in this wetland environment. Assume x has a probability distribution that is approximately normal. a. An oxygen demand below 8 mg/L Indicates that some organisms In the wetland environment may be dying. What is the probability that the oxygen demand will fall below 8 mg/L? b. A high oxygen demand can also indicate trouble. An oxygen demand above 12 mg/L may indicate an overabundance of organisms that endanger some types of plant life. What is the probability that the oxygen demand will exceed 12 mg/L?Biological oxygen demand (BOD) is a pollution index that is monitored in the treated effluent of paper mills. A certain paper mill has taken 31 samples over the past 3 months. The mean and standard deviation for the sample data are 3.42 and 0.728 ppm respectively. The mill would like to see if this sample indicates that the true average BOD in their treated effluent exceeds the targeted 3.00 ppm. Let ? = 0.05. A) The test statistic, (ttest), for this data set is: Note: Round your answer to the nearest hundredth.B) The p-value is: C) The statistical decision and corresponding English interpretation for this study are: Fail to reject Ha: conclude that the true BOD in treated effluent exceeds 3 ppmFail to reject Ho: we cannot conclude that the true BOD in treated effluent exceeds 3 ppm Reject Ha: we cannot conclude that the true BOD in treated effluent exceeds 3 ppmReject Ho: conclude that the true BOD in treated effluent exceeds 3 ppm
- To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.A persons blood glucose level and diabetes are closely related XB a random variable measured in milligrams of glucose per deciliter (1/10 of a liter) of blood. Supposed to after a 12 hour fast the random variable X will have a distribution that is approximately normal with mean of u=87 and a standard deviation of O=25. Note: after 50 years of age both the mean and Standard deviation tends to increase for an adult under 50 after 12 hour fast find the following probabilities A) X is more than 60 B) X is less than 60 C) X is between 60 and 110 D) X is greater than 125 (borderline diabetes starts at 125)The mean score on a driving exam for a group of driver's education students is 60 points, with a standard deviation of 3 points. Apply Chebychev's Theorem to the data using k=2. Interpret the results. At least ( )% of the exam scores fall between ( )and ( )