A manufacturer knows that their items have a normally distributed lifespan, with a mean of 14.9 years, and standard deviation of 3.9 years. If you randomly purchase one item, what is the probability it will last longer than 14 years? Round answer to three decimal places Question Help: Video Submit Question

Q: Practice #1: A marketing company wants to know if the proportion of American millennials who have…

A: 1. This is a hypothesis testing problem because the marketing company wants to test whether the…

Q: A car manufacturer is concerned about poor customer satisfaction at one of its dealerships. The…

A: It is required to find the probability that the dealership will be fined, and the probability that…

Q: A manufacturer knows that their items have a lengths that are approximately normally distributed,…

A: 0.1266Explanation:We must have a background of the Central Limit Theorem (CLT) to be able to answer…

Q: Click the icon to view the table of factors for calculating three-sigma limits for the x-chart and…

A: The data is given on the outside diameter of the bottleneck.Given that,Subgroup size  Sample size

Q: If P(A)=0.40, P(B) = 0.75, and P(A and B)=0.30, then what is true about the events A and B? (A)…

A: (C)Event A and event B are not mutually exclusive and are independent. Explanation:Recall that two…

Q: The figure to the right shows the results of a survey in which 2000 college graduates from the year…

A: The objective of this question is to calculate the 99% confidence interval for the proportion of…

Q: Banking fees have received much attention during the recent economic recession as banks look for…

A: From the provided information,Confidence level = 90%

Q: Consider two gamblers in a Casino. If you win you win 1 Baht and if you lose you lose 1 Baht. They…

A: It is specified that Mr. A bet on 1 toss with a betting amount of 20 Bhat.Whereas, Mr. B bet on 20…

Q: Suppose we are about to roll an ordinary six-sided die once and observe the number on the top face.…

A: Complement of event E (E') is {2, 4, 6}. Complement of event F (F') is {1, 2, 3}. Complement of…

Q: . Although a research study is typically conducted with a relatively small group of participants…

A: It is needed to fill the given blanks.

Q: For the following statement explain what's wrong: A 95% confidence interval for the mean response is…

A: The statement is incorrect because the width of a confidence interval can vary depending on the…

Q: A manufacturer produces a commodity where the length of the commodity has approximately normal…

A: 0.0853Explanation:For the sample of 34 items, the sample mean μxˉ​ will be the same as the…

Q: Let X be the number of packages being mailed by a randomly selected customer at a certain shipping…

A: Answer a).X Bar11.522.533.54P(X Bar)0.040.040.170.200.140.240.09b). 0.45…

Q: The time taken in the cycling phase of a triathlon has a mean 23.16min and standard deviation…

A: The objective of this question is to find the probability that the mean cycling time taken by a…

Q: . A large insurance company sells homeowner's insurance to compensate homeowners in case of damage…

A: The objective of the question is to understand the application of the Central Limit Theorem (CLT) in…

Q: A car manufacturer is concerned about poor customer satisfaction at one of its dealerships. The…

A: The given data is as follows:Sample size, Probability that the dealership's customers report…

Q: electrical firm manufactures light bulbs that have a length of life that is approximately normally…

A: Sample size n=45Sample mean=790Population standard deviations=50

Q: For the given confidence interval for the proportion, find the margin of error. 0.684<<0.826

A: Given , confidence interval for proportion is :0.6840.826

Q: IS YOUR DATA BASELINE DATA AUTOCORRELATED. behavior 2 4 6 8 10 o D 2 4 A time ° 6 8 0

A: The objective of this question is to determine if the given data set exhibits autocorrelation.…

Q: ume 28<x<33 6 shaded area of the graph is

A: Given that,

Q: Consider a hypergeometric probability distribution with n = 6, R= 7, and N = 16. a) Calculate P(x =…

A:

Q: A study compares students who use a website and students who do not use the website. In addition to…

A: The two samples, 141 students who were users of the website and 68 students who were not users of…

Q: Suppose Z follows the standard normal distribution. Use the calculator provided, or this table, to…

A: The objective of the question is to find the value of 'c' in a standard normal distribution such…

Q: A manufacturing firm produces its products in batches using sophisticated machines and equipment.…

A: The given data is as follows: Batch sizeLabor…

Q: random Let X be a binomial variable with mean 1 and variance 3. The probability that X takes the 4…

A:

Q: Use the probability distribution to complete parts (a) and (b) below. The number of school-related…

A: (a) The mean is 3.4.The variance is 3.4.The standard deviation is 1.8. (b)The mean is 3.4, so the…

Q: The weights of men in a particular age group have mean μ = 178 pounds and standard deviation σ = 30…

A: The objective of this question is to understand the concept of the standard deviation of the…

Q: the (approximate) probability that the number having at least one VCR is exactly 3. Be sure to use…

A: Let X be the random variable that is the number of US households that have at least one VCR.Here The…

Q: Explain whether one (or both) of the situations for the approximate normality of the sampling…

A: Answer (a):Correct statement are: The population of temperatures is not bell-shaped, and the sample…

Q: A car manufacturer is concerned about poor customer satisfaction at one of its dealerships. The…

A: Given ,Sample size , n = 50 Population proportion , P = 72% = 0.72

Q: Two teaching methods and their effects on science test scores are being reviewed. A random sample of…

A: The objective of this question is to determine the decision rule for rejecting the null hypothesis…

Q: A random sample of the closing stock prices in dollars for a company in a recent year is listed…

A: The objective of this question is to construct the 90% and 99% confidence intervals for the…

Q: You are using a local home remodeling company to remodel your kitchen. They have 18 different…

A: The question is about counting theory.Given :No. of cabinet door styles = 18No. of countertop…

Q: Find the critical values X and X for the given confidence level c and sample size n. c=0.90, n=16 =…

A: The provided information is as follows:The level of confidence is .The sample size is .

Q: None

A: A graph is provided and the objective is to state whether or not the graph is normal by choosing the…

Q: A particular forecasting model was used to forecast a six-month period. Here are the forecasts and…

A: The data for forecasted and actual values is given as:Forecast value: Actual value:  April260210…

Q: tribution of values is normal with a mean of 81.1 and a standard deviation of 47.9. P2, which is the…

A: Population mean=81.1Population standard deviation=47.9

Q: Practice #2: The drying time of a type of paint under specified test conditions is 62 minutes.…

A: It is given that the Chemist proposed the new additive design to decrease the average drying time…

Q: Type-II error is? A. Rejecting the null hypothesis when it is actually true B. Not rejecting the…

A: The type II error is defined as "Fails to reject the null hypothesis when it is actually false."

Q: Consider the following Average earnings index (AEI) with 1987 as a base year. Year 1987 1990 1993…

A: So, the amount to be paid to the workers in 1999 is $192.3Explanation:Given,Earnings in 1990:…

Q: A fair die is rolled ten times. What is the probability of getting an even number 4 times out of 10?…

A: The objective of this question is to find the probability of getting an even number 4 times out of…

Q: Problem #1: Coke and Pepsi are the two most popular colas on the market. Do consumers prefer either…

A: The given data is as follows:The difference is Mean of the difference, Standard deviation of…

Q: An economic organization tracks summary statistics of various countries. These include GDP (gross…

A: A regression is a technique in statistics that relates a dependent and independent variable. In this…

Q: Use the likelihood ratio to finda 95% confidence interval for theta based on data in Table 5.1.…

A: To find a 95% confidence interval for θ using the likelihood ratio, we use the binomial distribution…

Q: 2. The electrodes in fluorescent lamps consist of a tungsten wire coil that is impregnated with…

A: To perform the requested analyses, we'll use R programming language. First, let's load the data into…

Q: Example: Suppose you arrive at a bus stop at 10:00am. The bus will arrive at a time T uniformly…

A: The arriving time T is uniformly distributed between 10:00 am and 10:30 am.The person arrives at the…

Q: Listed below are student evaluation ratings of courses, where a rating of 5 is for "excellent." The…

A: It is required o find the 90% confidence interval for the population mean rating,  of all college…

Q: The city of Raleigh has 11,600 registered voters. There are two candidates for city council in an…

A: Given,Population size, N = 11,600Sample size, n = 400Number of voters said they'd vote for Brown, x…

Q: In a standard Normal distribution, if the area to the left of a z-score is about 0.4000, what is the…

A: From the provided information,The area to the left of a z-score is about 0.4000.

Q: An article reports measurements of the total power, on the log scale, of the heart rate variability,…

A: Let x denote the group of patients aged 25-49and y denote the group of patients aged 50-75The…