Suppose a dishwasher has a mean life of 12 years with an estimated standard deviation of 1.11 years. The life of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 10 dishwashers that you made.. Find the mean of the sample mean. μx̄ = Find the standard deviation of the sample mean. σx̄ = Find the probability that the sample mean life of the dishwashers is less than 8. P(x̄ < 8)

Suppose a dishwasher has a mean life of 12 years with an estimated standard deviation of 1.11 years. The life of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 10 dishwashers that you made.. Find the mean of the sample mean. μx̄ = Find the standard deviation of the sample mean. σx̄ = Find the probability that the sample mean life of the dishwashers is less than 8. P(x̄ < 8)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.5: Comparing Sets Of Data

Problem 4CYU

See similar textbooks

Related questions

Q: Top management of a large multinational corporation wants to create a culture of innovativeness and…

A: Introduction Hypothesis is an assumption that is being tested.

Q: In a survey, 29 people were asked how much they spent on their child's last birthday gift. The…

A: Answer Given Confidence interval CI = 80% α=1-0.80 =0.2 sample size [n] =29 degree of…

Q: The mean age of salesladies in an ABC department store is 32, with a standard deviation of 8.…

A: The question is about Tchebyshef's theorem Given : Mean age of salesladies ( μ ) = 32 Std. deviation…

Q: When would you use a Census vs. a Sample set?

A: Census and sampling are two methods of collecting survey data about the population that is used by…

Q: A random sample of 500 ZU students are surveyed to determine if they own a tablet. It was found that…

A: Suppose p is the true population proportion of the ZU students who own tablets.

Q: Person P goes jogging with his dog every day. He decides to model with independent random…

A: In statistics, it is common to use probability distributions to model random events or phenomena.…

Q: A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired…

A: a) It is given that, over a 1-year period 17% of cars will need to be repaired once, 7% will…

Q: Find the 5 number summary for the data shown below. 62 27 33 89 50 32 55 45 22 59 5 number summary:

A: data in accending order are : 22,27,32,33,45,50,55,59,62,89n= 10

Q: Assume that a sample is used to estimate a population mean μ. Find the 95% confidence interval for a…

A: Given that, Sample size (n) = 44 Sample mean (x¯) = 49.5 Population standard deviation (σ) = 18.5…

Q: In a study of 465 women, researchers wanted to evaluate if education level was related to the stage…

A: Given data:

Q: Problem 2. Let X and Y have the joint density: fxy(x, y) = 4. Find the pdf of E[X|Y]. √² 0<x<y≤1 { 0…

Q: consider the box plot below. What percent of the scores are between 3 and 10?

A: A box plot is given.

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

A: Given data : P ( -0.82 < z < 1.25) = ?

Q: The assets (in billions of dollars) of the four wealthiest people in a particular country are 35,…

A: sample mean =n1+n22 probability= frequencytotal frequency

Q: The monthly rents for studio apartments in Abu Dhabi have a mean of AED 3500 and a standard…

Q: A random sample of professional wrestlers was obtained, and the annual salary (in dollars) for each…

A: From given : x¯=47500n=18σ=8500

Q: A private college in Ohio wishes to determine whether or not students living on campus have similar…

A: Given Information: Resident students: Sample size n1=120 Sample mean x¯1=2.82 Sample standard…

Q: Calculate Cohen's d using the following information, � =70, M = 61 and S2=36.

A: Given that, The population mean μ=70 The sample mean M=61 The sample variance S2=36 The formula for…

Q: uppose you know that the distribution of sample proportions of fifth grade students in a large…

A: Given that Sample size n =100 Mean=0.30 Standard deviation =0.08

Q: A delivery company divides their packages into weight classes. Suppose packages in the…

A: We have given information, Suppose packages in the 14-to-20-pound class are uniformly distributed.…

Q: statistics professor plans classes so carefully that the lengths of her classes are uniformly…

A: Given,A random variable X~U(50,52)f(X)=12 ; 50≤X≤52

Q: 2. The town of Sylva recently started a single-stream recycling program. The town provided 60-gallon…

A: The question is about hypo. testing Given : No. households to which 60 gallons recycling bins…

Q: You perform a hypothesis test for a population proportion with the null hypothesis that the…

A: Answer:- According to the given information, the hypotheses would be, H0 : p = 0.3 Ha : p ≠ 0.3…

Q: 2. The following density function describes the random variable X. 1 2x+1-20 if 0 _=1 < x < 0+₁ 2 2…

Q: Im a little confused on how you got 115.77 seconds as the average amout of people waiting in line?

A: As we’ve calculated that, the average waiting time is w=15.77 seconds. And the average service time…

Q: Discuss the situation being analyzed in the case study. What statistical ideas were used in the case…

A: The case study examines the controversy surrounding the potential cancer-causing properties of…

Q: A study examined whether a citrus smell made a difference on memory recall. The study reports the…

A: Given that, The claim is citrus smell made difference on memory recall. t143=1.78 The degrees of…

Q: chi" disks are used to determine the clarity of natural wate is lowered into the water until the…

A: To determine whether the two disks yield significantly different values, we can perform a paired…

Q: Credit card balances of all customers in a certain bank are right-skewed. To estimate the mean…

A: Suppose µ is the population mean balance for all customers.

Q: a. Explain why it would be unwise for the cereal company to advertise that each box contains 14…

A: For the distribution of the weight of cereal (in ounces) in the box, it is given that: μ=14σ=0.12

Q: The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are…

A: Given that. X~N( μ , ?) μ=14.7 , ?=33 Z-score =( x - μ )/?

Q: An online celebrity video has an average of 9,000 viewers per day. Try to calculate the chance that…

A: To calculate the probability that 2 nerds will click on the video in a time not exceeding 1 minute,…

Q: ouTube myMCC | Middlesex... Dashboard Google Docs NJ Athletic Confere... 2021 Football Stan... a)…

A: n=23, s=3.4, sample mean x̄=14

Q: The number of chocolate chips in a popular brand of cookie is normally distributed with a mean of 23…

A: Given data in the problem is Mean=23 SD=3.7 90% means --->5% top and…

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

A: We have given information, Let Z denote the bone density test score are normally distributed with a…

Q: Refer to the table which summarizes the results of testing for a certain disease. A test subject is…

A: From given : Positive test Negative test Total Has disease 144 17 161 Does not have disease…

Q: Approximately one-third of Canadians have some form of privately-covered long-term disability…

A: Given that: Sample size, n=155

Q: There are 6 numbered balls in a bag. Each ball has a distinct number and the numbers are in {1,2, 3,…

A: Here given that there are 6 numbered balls in a bag. Each ball has a distinct number and the numbers…

Q: A public opinion organization wants to know if opinions on gun control laws have changed over time.…

A: Given that, a poll conducted in 2006 found that 55% of people favored stricter gun laws.

Q: How do you evaluate the coefficients for the independent variables against the size and statistical…

A: To test the hypothesis that location is the most important factor in determining the price of a…

Q: Proposal 1: Deploy an additional voting machine to precinct A. Assume that the voter turnout is…

A: In this case, we can model the situation at Precinct A as an M/M/1 queue, where arrivals are Poisson…

Q: The weight (in lb) of widgets produced in a factory is right-skewed. A random sample of 36 widgets…

A: Given that, The sample size n=36 The confidence level is 95% The confidence interval CI=(6.90,7.55)…

Q: Suppose the true proportion of voters in the county who support a school levy is 0.6. Consider the…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose that an airline uses a seat width of 16.8 in. Assume men have hip breadths that are normally…

A: given data normal distributionμ = 14.8σ = 0.9n = 115

Q: You create a histogram for a particular set of data. The histogram shows that the majority of points…

A: We have given information, The histogram shows that the majority of points lie in a certain area,…

Q: The lengths of a professor's classes has a continuous uniform distribution between 60.0 min and 90.0…

A: We have given thata = 60 , b = 90The distribution is uniform => X ~ U(a, b)X ~ U(60, 90)

Q: Assume that we believe that the arithmetic return has a mean of 0 and that, from histori- $100 into…

A: The Chebyshev inequality states that for any random variable X with finite mean μ and variance σ2,…

Q: a) Calculate an estimate for the mean of the waiting times, by using an appropriate approximation to…

A: Here waiting time of the 128 customers is given. Waiting time f 0-30 29 30-60 17 60-90 17…

Q: perform better on the golfing test using the new method as compared to the traditional teaching…

A: The data is given in the form of the table .

Q: Make pairwise comparisons of display panels A, B, and C by using Tukey simultaneous 95 percent…

A: Given information, A researcher conducted a study to compare three display panels used by air…

Question

Find the mean of the sample mean.
μ_x̄ =

Find the standard deviation of the sample mean.
σ_x̄ =

Find the probability that the sample mean life of the dishwashers is less than 8.
P(x̄ < 8) =

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution