Years of data tells us that 33% of houses have a 2 car garage. In a sample of size 38, what is the probability that more than 23% of houses have a 2 car garage? 0.072 0.095 0.905 0.928 None of the above Beyond representative sampling, what assumptions are needed to satisfy the requirements for this problem? X∼normal or n≥30 X∼normal and n≥30 X∼binomial and at least 5 successes and failures X∼binomial, np≥5 and nq≥5

Q: Employers want to know which days of the week employees are absent in a five-day work week. Most…

A: Given: Number of days n = 5 Significance level α = 0.05 Formula Used: Test-statistic χ2 = ∑(O-E)2E

Q: Select two situations from the list below that could be modelled using the binomial distribution.…

A: A random experiment is called binomial if it has the following properties: 1) The number of trials…

Q: 2  Define the random variable, its distribution, and compute for the variable/measure that is being…

A: Given Chane of striking oil = 20%

Q: Provide an appropriate response. The random variable x represents the number of computers that…

A: Mean E[x] = ∑xP(x)

Q: If X is a random variable with a mean of 20 and a standard deviation of 5, what is the probability…

A: probability that X is greater than 25=0.1587

Q: suppose a well mixed cookie dough will produce cookies with a mean of seven chocolate chips a…

A:

Q: An electric device consists of Two parts,  A and B. The electric device works if both parts work.…

A: Given mean, μ = 110 hrs Standard deviation, σ =5 hrs X ~ N(μ, σ)

Q: assume you flip a coin 900 times and for every 30 flips you happened to always observe a score of 18…

A:

Q: FGH 50 32 Health authority A в D Incidence in men 47 56 15 51 45 54 Incidence in women 36 30 30 47…

A: we wants to calculate Spearman's rank correlation. let us consider x: incidence in men  y: incidence…

Q: What is the probability of a group of 4 having a score of atleast 60 if the mean is 50 and SD is 8?

A: given data  n = 4 μ = 50σ = 8P(x¯≥60) = ?

Q: A box contains 5 balls. Two are numbered 3, one is numbered 4, and two are numbered 5. The balls are…

A:

Q: Suppose you are given a multiple-choice test with 10 questions, each with 4 answer choices. If you…

A: The question is about discrete prob. distribution Given : No. of multiple choice questions ( n ) =…

Q: A sample of size 60 will be drawn from a population with mean 19 and standard deviation 7. Find the…

A: Concept used: A random variable X with mean μ and standard deviation σ can be standardized as:…

Q: 2.4 Complete the below statement. If the covariance of two random variables is zero, the variables…

A: For the given statement Fill in the blanks

Q: 12. Suppose that it is known that P(A/B) = 0.21, P(A) = 0.69, and P(AUB) = 0.13. (a) Find P(An B).…

A: ∪ ∩ P(A|B) = 0.21 P(A')=0.69 P(A) = 1- P(A') = 0.31

Q: For a binomial experiment with r successes out of n trials, what value do we use as a point estimate…

A: In binomial distribution P is probability of success and n is number of trials.  Let  random…

Q: Suppose that we did not know the probability of success but knew the sample size was 93 and that the…

A:

Q: of a Ice is an A pie of size and its sample mean is calculated. Find the probability that the sample…

A: Mean of the exponential distribution is 50, n=100=sample size

Q: Suppose that in a large class, the instructor announces that the average grade on an exam is 75.…

A: According to the definition of estimation, a sample mean is equal to the population mean.

Q: If Z is a random variable with a mean of 100 and a standard deviation of 20, what is the probability…

A: Introduction: A random variable Z with mean 100 and standard deviation 20 follows a normal…

Q: A sample of n = 14 observations is drawn from a normal population with = 920 and a = 200. Find each…

A: From the provided information,

Q: 6. The expected number of pupils who fail the Mathematics test is 2.4 and variance is 1.92. Find the…

A: Given : The expected number of pupils who fail the mathematics test is 2.4 and variance is 1.92 .…

Q: Question 2. What is the probability that between 85 and 120 complaints are received in one week? Use…

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

Q: Suppose a recent study stated that the proportion of adults in the general population who drink at…

A: Given,population proportion(P)=0.26sample size(n)=125no.of adults who drink at most once a…

Q: Question 9

A: Note: As per the guidelines, we are only allowed to solve three subparts, please post the other…

Q: If the random variable ?takes the values 1, 2, 3, 4 such that 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4).…

A: It is given that, 3P(X=1)= 4P(X=2 )= P(X=3) = 5P(X=4)

Q: Which of the following are assumptions of ANOVA? Select all that apply ) The variance is the same in…

A: 7. It is been asked to find the assumptions of ANOVA and alternative hypothesis of ANOVA using given…

Q: 7. Which of the following random variables is discrete? a. W=duration of travel (in minutes) from…

A: Discrete random variables are those variables which takes only specific values like whole numbers or…

Q: What increases the likelihood that our a random sample will be representative of the population? O…

A:

Q: Suppose that we have a random sample of 8 students with final exam scores: 43, 55, 96, 33, 37, 78,…

A: Given  Sample size = 8 Sample data  43 55 96 33 37 78 62 20

Q: Suppose that the true proportion of households with at least one car is T = .80. If a random sample…

A: Assume that π as the true proportion of households with at least one car.

Q: Find the probabilities for the following z-scores: 1. p(z -0.25) 3. p(z 1.68)

A:

Q: If we were to define an event as being unusual if it occurs less than 5% of the time, would we…

A: Mean = 87 kg   Sample size = 36  5% = 5/100 = 0.05  Empirical rule (68 - 95 - 99.7) says :  68% data…

Q: E(7) = (to 1 decimal) (to 4 decimals) = 20

A:

Q: O1: Given the population 1, 1, 1, 4,4,7, 6, 8 . Find the probability that a random sample of size…

A: Given data is 1,1,1,4,4,7,8population mean(μ)=4variance (σ2)=7sample size (n)=42

Q: Suppose the random variable X had a population mean u=20 and a population standard deviation o=9. If…

A: Given that: X is normally Distributed with mean µ = 20.0 and standard deviation σ = 9.0 By using…

Q: Suppose the random variable X has a population mean of u=20 and a population standard deviation o=9.…

A: Given Data Population Mean,μ = 20 Population Standard Deviation,σ = 9 sample size…

Q: When a 95% confidence interval for the population mean is constructed from one sample, we can say…

A: Given : When a 95% confidence interval for the population mean is constructed from one sample, we…

Q: The average time spent by a car salesman each weekend is normally distributed with a mean of 12.5 hr…

A: Given Information: Meanμ=12.5hrS.Dσ=3hr

Q: Scores on a standard test of mechanical aptitude are normally distributed with a mean of 72 and a…

A:

Q: A sample of 100 is drawn from a population with a proportion equal to .7.  Determine the probability…

A: The probability of observed 69 or fewer successes is, Thus, the probability of observing 69 or…

Q: Suppose that the researcher in Question 1 wants the difference between the sample mean and the…

A: Given  That difference between sample mean and population mean is less than 0.4 Probability=0.95 We…

Q: If all the possible random samples with n- 36 scores are selected from a normal population with u-…

A:

Q: If X is a random variable with a mean of 20 and a standard deviation of 5, what is the probability…

A: From the provided information, Mean (µ) = 20 Standard deviation (σ) = 5

Q: Suppose you are playing a game and you get to roll 40 six-sided dice on your next turn. If you get a…

A: Solution: Given information: n= 40 Sample size  μ= 3.5   Population mean σ= 1.71   Population…

Q: Suppose the random variable X has a population mean u=20 and a population standard deviation o=9. If…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.