The failure of a car's engine follows a Weibull distribution. Such failure rate is described by a shape parameter of 0.75 and scale parameter of 1550 hr. a) Calculate the reliability for a 330-hr drive b) If there is a 400 hr burn in of the engine, what is the reliability for a 250 hr drive?
Q: What is the minimal number of people needed in a class to ensure that there are two students with…
A: Given information: To ensure that there are two students with the same birthday (the same month and…
Q: Explain why a level of significance of a = 0 is not used. Why is a level of significance of a = 0…
A: It is given that the level of significance α = 0.
Q: Kilie is an avid collector of action figures based on superhero movies. She has been tracking the…
A: To determine: The absolute and releative change in the item's value from 2016 to 2022 based on the…
Q: Question 1 The bulk density of pima clay loam follows normal distribution with mean of 1.75 g/cm³…
A: Given Mean(μ)=1.75 g/cm3standard deviation(σ)=0.25 g/cm3
Q: Two six-sided fair dice are rolled. The probability that at least one number is odd and the sum of…
A: Given: The two six-sided fair dice are rolled then we get total of 36 order pairs. The probability…
Q: The state test scores for 12 randomly selected high school seniors are shown on the right. Complete…
A: Given data is1420,700,724,622,1227,727,748,1445,980,833,540,943sample size(n)=12
Q: Gymnastics Case Study The Canada Games represents the highest level of national competition for up…
A: Given Information: Did not compete in any Apparatus Finals event Competed in exactly one…
Q: The distribution of the scores on a certain exam is N(30,10), which means that the exam scores…
A:
Q: Assume a member selected at random from the population represented by the graph. Find the…
A:
Q: they
A: Euler Path is the one which crosses every side(edge) exactly once.
Q: The average individual monthly spending in the United States for paging and messaging services is…
A: Suppose a random variable X has mean µ and standard deviation σ. Therefore, the z-score of that…
Q: Test the claim about the population mean, μ, at the given level of significance using the given…
A: given,Claim: μ≠5000σ=382α=0.03x¯=4600n=45
Q: In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5. The…
A: Given: In a car lot, the ratio of the number of new cars to the number of preowned cars is 6 to 5…
Q: Construct the indicated confidence interval for the population mean μ using the t-distribution.…
A: Givenconfidence level(c)=0.98Mean(x)=12.9standard deviation(s)=0.86sample size(n)=12
Q: Question 8 The probability of occurrence of at least one of two events is the sum of the probability…
A: It is given that the statement about to the basic probability theory. Here, need to find out that…
Q: Suppose that the joint density function of two random variables W₁ and W₂ is given by f(w₁, ₂) =…
A: Result: X and Y are independent iff f(x,y)=f(x)f(y) Cov(X,Y)=E(XY)-E(X)E(Y)
Q: ility mass function of X and Y, p(x, y) is g p(2,1)= p(3,1)= } 9 p(2,2)=0 p(3,2)=+ p(1,1)= p(1,2)=
A: The joint probability mass function of X and Y has given.
Q: Cast Iron Company, on each nondelinquent sale, receives revenues with a present value of $1,280 and…
A:
Q: How many positive integer solutions are there of the equation x+y+z=5?
A:
Q: et it be the probability density function. [ f(x2= n-x 2(1-2). ax Let it be Y = e x=0,1,2, So E(Y)…
A: Solution
Q: (You shall use calculator in completing this problem. Express your solution up to 3rd decimal…
A:
Q: The number of customers arriving per hour at a certain automobile service facility is assumed to…
A:
Q: i) What is the moment generating function of the sample mean? ii) What will be the mean of the…
A: It is given that Sample size n = 10 And Xi , i = 1, 2,.......10 follows N(0,1)
Q: If one student is chosen from the school, what is the probability that the chosen student is a…
A: Given sophomore students are = 469 Total number of students = 2000
Q: A machine randomly generates 1 of 9 numbers, 1...9, with equal likelihood. What is the probability…
A:
Q: 4.41. Which of the following is a measure dispersion? a. Median b. Mode c. Average d. Interquartile…
A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…
Q: Let X and Y be independent random variables and distributed as Uniform distribution on the interval…
A: a. Please find the attached picture for the solution. b. |J| = u Please find the attached…
Q: Given that a box has 4 blue marbles, 3 red marbles, and 5 yellow marbles, use the probability…
A: Given that A box has 4 blue marbles, 3 red marbles, and 5 yellow marbles
Q: will receive ast 6 calls. more calls. ost 5 calls.
A: Given Mu=6 calls per hour
Q: In a lottery game, a player picks 9 numbers from 1 to 49. If 8 of the 9 numbers match those drawn,…
A:
Q: hould reject Ho. Explain your reasoning. 73 75 Μα: με 76 77 a) Choose the correct answer below. A.…
A: Solution Given That The three confidence intervals to the right represent three samplings. Decide…
Q: Suppose a drawer contains five brown socks, seven blue socks, and four red socks. We draw one sock…
A: The answer is attached below,
Q: D B E A
A: Here we want to know degrees of vertex D.
Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a…
A: Solution-: Given: a=7, b=10 We want to find the probability that on a given day the amount of coffee…
Q: 1. Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3…
A: e. Here,we are find P(X=1|Y=1)=P(X=1∩Y=1)P(Y=1), FROM TABLE P(X=1∩Y=1)=0.1 AND…
Q: i) Draw a sketch of the area where f(x₁, x₂) is not zero. ii) Find P(X₂ < 1). iii) Find E(X₁X₂).
A: The joint probability distribution function of X1 and X2 is given and first we have to determine the…
Q: solve the following
A:
Q: The population of Boomtown is currently 12000 and expected to grow by 2.6% over the nex What will…
A: 1)Given data,Population of Boomtown is =12000And its expected to grow by 2.6%what will be the…
Q: Suppose a call center recieves 100 calls per hour. Using poisson process what is the probability…
A: Given Average calls per hour=100 We need to find the probability that we recieve 10,25 and 35 calls…
Q: A pair of shoes is on sale for $29. If the sales tax rate is 7.9%, what is the amount of sales tax?…
A: According to the given information in this question We need to find the amount of sales tax and…
Q: Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling…
A: Given that Sample size n =26 Population mean μ =250 Standard deviation =59
Q: Use the standard normal table to find the z-score that corresponds to the given percentile. If the…
A: Given that. X~N( μ , ?^2 ) μ=0 , ?=1 Z-score =( x - μ )/?
Q: Show that the following function is a valid probability mass function of the random variable X. p(x)…
A: Each probability mass function p(x) satisfies following two conditions: p(x)>=0, for all…
Q: 3 The probability that Adam goes to play basketball on any day is 5 On a day when he plays…
A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts. In case…
Q: Find the critical value(s) and rejection region(s) for the type of z-test with level of significance…
A: Given,two-tailed test , α=0.09α2=0.045
Q: Answer the following question using arrangements with repetition, permutations, or combinations. Be…
A:
Q: Suppose a drawer contains two brown socks, seven white socks, and three green socks. We draw one…
A: The provided information is There are three drawer stocks 2 are brawn stocks 7 white sticks 3 green…
Q: Use the confidence interval to find the margin of error and the sample mean. (0.196,0.300) The…
A: Given confidence interval is (0.196 , 0.300)Upper limit = 0.300Lower limit =0.196
Q: The numbers of courses taught per semester by a random sample of university professors are shown in…
A: Given data The number of courses taught per semester by a random sample of university professors are…
Q: Find the P-value for the indicated hypothesis test with the given standardized test statistic, z.…
A: Given,Test statistic(Z)=-1.99α=0.04and the given test is two-tailed test.
Step by step
Solved in 3 steps
- Question #4 A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.7 seconds. A random sample of 23 sedans has a mean minimum time to travel a quarter mile of 15.5 seconds and a standard deviation of 2.08 seconds. At α=0.05 is there enough evidence to support the consumergroup's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. To Do: 1.) Identify the claim and state H0 and Ha. Do not round. 2.) The claim is the ___ hypothesis 3.) Use technology to determine the P-value. First calculate the standardized test statistic for the t-test, rounding to two decimal places. 4.) Decide whether to reject or fail to reject the null hypothesis. 5.) Interpret the decision in the context of the original claim. a) Interpret the decision in the context of the original claim. And fill in the blanks There is is not enough evidence at the ___%__ level of significance to ____ the claim…Question 20: The range of a battery of a newly produced Electric vehicle is normally distributed with an average of 400 miles and a Standard deviation of 20 miles. What is the probability a new vehicle off the assembly line is getting a battery range between 380 miles and 420 miles?Question 4 The ages of the patients of a pediatrician was surveyed was summarized and displayed in thebox-and whisker diagram shown below in Exhibit 1. 25 30 35 40 45 50 55 60 65 Age of Patient Use the box-and-whisker diagram to:(i) Determine the minimum and the maximum age of the patients surveyed? (ii) Calculate the quartile deviation of the ages of the patients surveyed. (iii) Comment on the skewness of this distribution.
- Question 19: The range of a battery of a newly produced  Electric vehicle is normally distributed with an average of 400 miles and a standard deviation of 20 miles.  find the probability a new vehicle off the assembly has a battery range greater than 420 miles.QUESTION 7 Nabisco claims that Chip Ahoy Cookies have an x ̅=28.67 per cookie with a SD=2.67. Assuming this information is true, what is the population parameter for the standard deviation?FIGURE 5.5 shows histograms of four sampling distributions of statistics intended to estimate the same parameter. Label each distribution relative to the others as high or low bias and as high or low variability.
- Exhibit 10-4The following information was obtained from independent random samples.Assume normally distributed populations with equal variances. Sample 1sample mean: 45sample variance: 85sample size: 10 Sample 2sample mean: 42sample variance: 90sample size: 12 Refer to Exhibit 10-4. The degrees of freedom for the t-distriubiotn arequestion 4 Chen et al. (2000) examined the foraging behaviour of northern elephant seals (Mirounga angustirostris) that breed along the west coast of Mexico and the USA. They attached platform satellite transmitter terminals (PTTs) to 22 male seals and recorded, for each seal, the distance (km) to its main feeding area offshore and the amount of time (days) it spent at the feeding area. The results are presented below: What two null hypotheses are being tested with the output shown above? What statistical conclusions would you draw about these hypotheses? Complete the regression equation by filling in the blanks (to the nearest 3 decimal places). duration = + * distance What is one biological interpretation of this relationship between duration and distance ? What % of the variation in duration at main feeding area was explained by distance to feeding area?Question 5: a car manufacturer produces a new engine with an advertised horsepower of 350 with a standard deviation of of 15 horsepower..
- Question 1: A paper manufacturer wishes to check the quality of the papers. Assume that the strength measurements are normally distributed with a mean equal to 19 pounds and standard deviation equal to 3 pounds. a) If we randomly select 13 papers, what is the probability that the average strength is less than 18 pounds per square inch? b) How many percent of papers have strength more than 23 pounds per square inch? c) Find the strength measurements the represents the third quartile?Question #5 A certain statistics instructor participates in triathlons. The accompanying table lists times (in minutes and seconds) he recorded while riding a bicycle for five laps through each mile of a 3-mile loop. Use a 0.05 significance level to test the claim that it takes the same time to ride each of the miles. Does one of the miles appear to have a hill? View the data table of the riding times Riding times (minutes and seconds) Mile 1 3:14 3:24 3:23 3:22 3:21 Mile 2 3:20 3:23 3:21 3:17 3:19 Mile 3 3:34 3:30 3:29 3:32 3:29 (Note: when pasting the data into your technology, each mile row will have separate columns for each minute and second entry. You will need to convert each minute/second entry into seconds only.) Find the F test statistic. F= __________ (Round to four decimal places as needed.) Find the P-value using the F…part 2 question 8 The distribution of the weights of a certain type of mangoes is normally distributed with a mean of 150 grams, and standard deviation of 13 grams. A sample of 20 mangoes of this type is taken from a shipment. What is the probability that the mean of the sample is less than 145 grams?