9. Suppose that you are the manager at a manufacturing plant that produces metal ball bearings. The machines that produce the ball bearings produces ball bearings that follow a normal distribution with an average diameter of 5mm and a standard deviation of 0.02mm. A ball bearing is considered faulty and is discarded if its diameter exceeds 5.05mm or falls below 4.95mm. How many faulty ball bearings should you expect to find in a batch of 30,000? a. 100 b. 621 C. 5 d. 372

Q: Express the confidence interval 0.222<p <0.888 in the form p±E. p±E= ±

A: Given The data is as follows: The CI is 0.222&lt;p&lt;0.888

Q: distribution with �=41.6 and �=76.1. You intend to draw a random sample of size �=170. Find the…

A: Given that.   X~N( μ , ?)   μ=41.6 , ?=76.1 , n=170   Z-score =( x - μ )/?

Q: Between 47.5 and 52.5 e. Between 50.7 and 51.8

A: Let X follows Normal with parameters: Mean = 50 sd = 12 Sample size (n) = 36 To find the following…

Q: Find the indicated probability. Find the probability of exactly 9 girls in 10 births. Assume that…

A: Given that  Number of trials n=10 Success of probability p =0.5 X~binomial (n,p) Here we use…

Q: you introduce I and J. Where do they come from? "I" I can understand, but not "J"

A: We can use different indexes to express the distinct values of a random variable.

Q: An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots…

A: Given that, The random variable X is the weights of new pilots. It is normally distributed.…

Q: 6. In the continuous-time limit from the binomial model, find m and a for u = 0.4, d= -0.3 and 7 =…

A: This question seeks to find the expected return, μ, and the volatility, σ, of a binomial model in…

Q: Based on historical data, your manager believes that 26% of the company's orders come from…

A: Given that  Population proportion p=0.26 Sample size n =73

Q: 3. Use two methods to find out the variance of the losses following the distribution below: F(x) =…

A: This question asks for two methods to calculate the variance of the losses following the given…

Q: Calculate and interpret the standard deviation of T

A: The probability distribution of T is: T P(T) T*P(T) T^2*P(T) $600 0.25 $150 90000 $650 0.1…

Q: The 95% confidence interval is to This means that you are % confident that the unknown difference…

A: Given, n1=35, M1=2423 calories, s1=237 n2=40, M2=2679 calories, s2=256 Note that all answers were…

Q: at a university, 60% of the 7400 students are female. the student newspaper reports results of a…

A: given data N  = 7400p = 0.60n = 200P(0.50&lt;p^ &lt;0.60) = ?

Q: heres a sampled of 361 people in total. People were allowed to self-identify as a heavy smoker or a…

A: Solution:  The two categorical variables are Smoking status and lung cancer diagnosis  To test the…

Q: In a survey of 891 U.S. adults who follow baseball in a recent year, 184 said that the Boston Red…

A: We have given that,  Sample size (n) = 891 and favorable cases (x) = 184 Then,  90% confidence…

Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per…

A: We have given information,  Let X= females pulse rates. Assuming the random variable X follows a…

Q: Suppose you wanted to determine the mean height of 8-year old boys living in the U.S. You select a…

A: It is given that a sample of 100 8-year-old boys mean height in the U.S. We were asked how can a…

Q: 53. Assemblers at a job-shop are required to submit materials requisition forms in person to a store…

A: Let λ be the rate parameter of the exponential distribution representing the time between materials…

Q: The following two-way contingency table gives the breakdown of the population of adults in a town…

A: We have given a two-way contingency table that gives the breakdown of the population of adults in a…

Q: Consider the following box and whisker plot. Find the indicated values of the represented data. 20…

A: The general box and whiskers plot look like:

Q: 2. A researcher wants to investigate if people belonging to different income groups are homogeneous…

A: Chi square goodness of fit test, compares the proportions of two categorical variables is same or…

Q: If the Var[X] = m then how do you find Var[X-k]? E[X] = k.

A: We have given information, VarX=m EX=k

Q: 1. The coefficient of skewness of a random variable X is defined to be 3 E(X -μ) ³ 03 Show that the…

A: According to the information provided in the question we have,  Coefficient of skewness of a random…

Q: Refer to the accompanying data display that results from a sample of airport data (13.046,22.15)…

A:

Q: A study on task difficulty and paper colour has produced the results below. What is the most likely…

A: First talk about the main effect, interaction effect and celling effect. A main effect is the…

Q: Most engaged couples expect or at least hope that they will have high levels of marital…

A: Given : For African-American Couples, mean = 26.3, std. deviation = 8, sample = 25For Latino…

Q: Use the following table of index numbers based on the price of a pound of coffee. The index numbers…

A: Given The data is as follows: Year Coffee index 2005 73.2 2006 76.9 2007 80.8 2008 86.4…

Q: White Rock is trying to determine an acceptance sampling plan for parts Y500 and P2000, both of…

A: Given,  95% sure of rejecting shipments that have more than 3% defectives,  accept shipments with…

Q: is normally distributed with a mean of 100 and a standard deviation of 16. A local school is…

A: given data, normal distributionμ=100σ=16we have to find out the given  IQ score for the given data.

Q: Given a sample with a mean of 151 and a standard deviation of 27, find the probability that a…

A: We have given that Mean(µ) = 151Standard deviations (σ) = 27X ~ N (µ, σ )= N(151, 27)

Q: As part of a water quality survey, you test the water hardness in several randomly selected streams.…

A: given data   sample size(n) = 23 sample standard deviation(s)  = 12construct 90 % ci for σ and σ2.

Q: The following random sample from some population is given: -1 1 3 1 -1 1 0 3 301 3 -1 0 1 0 1 Find…

A: Given,sample size(n)=17

Q: 11. A college student population of freshman and seniors was surveyed to determine if they prefer…

A: Given that: PA1=0.40PA2=0.60PB|A1=0.60PB|A2=0.20

Q: Below is a graph of a normal distribution with mean μ = 1 and standard deviation o=3. The shaded…

A: Given: The first graph indicates a normal distribution with mean μ=1 and standard deviation σ=3. The…

Q: Given that: Hx= 1 100-x for 0<x<100 2 calculate the value of 30950:60-

A: ANSWER: The expression 30q_{50/60}^2 refers to the 50/60 quantile of the distribution of X^2, where…

Q: Find the critical values x² and x²R for the given confidence level c and sample size n. L c=0.99,…

A: given data   sample size(n) = 28C = 0.99we have to find χL2 = ?  and χR2 = ?

Q: A professor believes that students at her large university who exercise daily perform better in…

A: The given question is about a professor who believes that students who exercise daily perform better…

Q: Calculate the standard error for the independent-samples t-statistic. Assume the pooled variance to…

A: The question is about two independent sample t test Given : Pooled var. ( sp2 ) = 2.5 Sample size of…

Q: How many modes are there in the following dataset? 5552668886525

A: Given data(X);5,5,5,2,6,6,8,8,8,6,5,2,5

Q: Suppose X~N(118,11), and Z~N(0,1). Then x = 114, is equivalent to z = ______. (Round your answer to…

A: We have given information, X~N(118,11) i.e. μ=118 And σ2=11 ⇒σ=11 The standard normal variate,…

Q: The data in the given table gives the automobile fatality rates (deaths per 10,000 vehicles in use)…

A: Given data gives the automobile fatality rates (deaths per 10,000 vehicles in use) in 2016 for the…

Q: On a particular day, Mobay Electronics produced 10000 electric bulbs at a mean production rate of 10…

A: Introduction: It is required to obtain a 95% confidence interval for the mean production time of…

Q: Will Proposition 100 Pass? (b) Based on the interval, is there convincing evidence that a majority…

A: Given:  Required proportion, p⏞ = 6000/9388 = 0.639 Confidence interval = (0.689, 0.767)

Q: NASA is conducting an experiment to find out the fraction of people who black out at G forces…

A: We have given information, Let x= number of people passed out at G forces greater than 6. A sample…

Q: K Assume that a randomly selected subject is given a bone density test. Those test scores are…

A: According to the given information in this question We need to find the following probability

Q: You are choosing between two texting plans. Plan A has a monthly fee of $15 with a charge of $0.08…

A: Since you have posted multiple questions, as per our guidelines, we have provided answer for first…

Q: A population of values has a normal distribution with µ = 166.1 and σ = 54. You intend to draw a…

A: It is given that the population from normal distribution has a mean value of 166.1 and a standard…

Q: h(x,y) = 6xey + 8y + 2 2²h a²h дуг 2²h дудх 2²h ?хду =

A:

Q: Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0…

A: Required probability is P(Z&lt;0.89)

Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

A: Solution: - Let X be the number of eligible voters at the age 18 - 24. The probability of eligible…

Q: Census data for the United States between 1790 and 1950 are given in the table above. Construct a…

A: Given information: Given data represents the values of the variables year and population (in…