Three randomly selected households are surveyed. The numbers of people in the households are 2, 4, and 9. Assume that samples of size n = 2 are randomly selected with replacement from the population of 2, 4, and 9. Listed below are the nine different samples. Complete parts (a) through (c). 2,2 2,4 2,9 4,2 4,4 4,9 9,2 9,4 9,9 a. Find the variance of each of the nine samples, then summarize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values. s² Probability (Type an integer or a fraction. Use ascending order of the sample variances.) b. Compare the population variance to the mean of the sample variances. Choose the correct answer below. O A. The population variance is equal to the square root of the mean of the sample variances. O B. The population variance is equal to the square of the mean of the sample variances. OC. The population variance is equal to the mean of the sample variances. c. Do the sample variances target the value of the population variance? In general, do sample variances make good estimators of population variances? Why or why not?

Q: Telephone interviews brought 258 responses from among 300 households called. While face-to-face…

A: Null and alternative hypotheses: Null hypothesis: Null hypothesis is a statement which is tested for…

Q: What is a sampling distribution of a sample statistic? Choose the correct answer below. OA. The…

A: Sampling distribution: Sampling distribution statistically means the distribution of a function that…

Q: MAY CONTAIN Suppose we have two random variables X and Y that have a continuous joint pdf of: y² for…

A: The continuous joint pdf of x and y is ,  f(x,y)=32y2for  0≤x≤2, 0≤y≤10otherwise

Q: A random sample of 10 secretaries was asked to type a certain memorandum using both computers and…

A: Given info: A test of hypothesis will be conducted to determine if there is enough evidence to…

Q: Applicants for temporary office work at Carter Temporary Help Agency who have successfully completed…

A: Given: 75% of the employees placed by Nancy are rated as satisfactory 65% of those placed by Darla…

Q: Exercise 3. You believe that a particular r.v. is binomial distributed. Empirically you find that…

A: Suppose the random variable of interest is X.

Q: A single player is dealt 8 cards from a standard 52-card deck. What is the probability that the 5th…

A: In a pack of cards, there are 52 cards. Among these, there are 4 suits, each suit having 13 cards.…

Q: There are 10 women and 3 men signed up to join a salsa dance class. In how many ways can the…

A: Given,no.of women=10no.of men=3

Q: A total sample space is the set (1, 2, 3, 4, 5, 6, 7, 8, 9, 10). If A is (1, 2, 4, 5, 8, 9) and B is…

A: Given;sample space(S)=(1,2,3,4,5,6,7,8,9,10)and set A=(1,2,4,5,8,9)set B=(3,5,6,7,8)

Q: In a seismic hazard analysis, the magnitude of the earthquake (Richter's scale) is modeled with a…

A:

Q: A pair of dice are rolled and the total is recorded. If this is done ten times, what is the…

A: Method: By using the Binomial probability distribution to find the probability

Q: Assume that the probability of a boy being born is the same as the probability of a girl being born.…

A: given data  P(boy)=P(girl) = 0.5 n = 5 childrens  P( atleast one boy) = ?

Q: There are three different types of circus prizes marked big (B), medium (M) and little (Z). Each…

A: Given that  big prize(B): 5 R and 8G. Total balls:5+8=13 Medium prize(M): 3R and 2G. Total…

Q: An electronic system has 2 subsystems A and B. It is known that P (A fails) = 0.2 P (B fails alone)…

A:

Q: During one stage in the manufacture of integrated circuit chips, a coating must be applied. If 70%…

A: Givenp=0.70sample size(n)=15Let "x" be the no.of chips will have thick enough…

Q: eenage boys often complain that auto insurance costs more, on average, for teenage boys than for…

A: Given, Parents of teenage boys often complain that auto insurance costs more, on average, for…

Q: A basket contains 11 red apples and 8 green apples. A sample of 5 apples is drawn. Find the…

A: given data, 11- red apples08- green apples 19 total apples A sample of 5 apples is drawnwe have to…

Q: etermine the marginal density function o

A: Given that the joint density function is, fx,y=3y, 0≤x≤y≤1   Formula: Marginal density function of…

Q: A water bottle manufacturing have two major flaw components. Let enote the number of flaws on the…

A: From the given joint density table, The total frequency is,…

Q: A box contains a large number of transistors, 30% of them are of type A and 70% are of type B. If a…

A: P(type A defect) = 0.30 p(TYPE b DEFECT) = 0.70 SELECT 4 TRANSISTORS AT RANDOM

Q: In a simultaneous throw of two dice, what is the probability of getting a total of 7 ?

A: From the provided information, Two dice are thrown simultaneously. Total outcomes = 36

Q: An elevator has a placard stating that the maximum capacity is 1296 lb-8 passengers. So, 8 adult…

A: GIVEN DATA, normal distribution μ=172σ=32p(flight is overloaded)=?p(X>162)=?

Q: The geoemetric mean of 2, 4 & 8.

A: x log(x) 2 0.301 4 0.6021 8 0.9031   ∑ log(x) = 1.8062

Q: Consider a political discussion group consisting of 10 Democrats, 8 Republicans, and 3 Independents.…

A: No.of democrats = 10 No.of Republicans = 8 No.of independents = 3 Total no.of members = 21    (i.e.…

Q: e following table shows the mileage and selling prices of eight used cars of the same model. Mileage…

A: Note: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: You have a bag with 3 red balls and 2 blue balls. You choose 3 balls at random from the bag without…

A: Dear student, If you find this solution helpful please upvote it. The solution is given below:

Q: The minimum fatigue life of rivets in the fuselage of a certain type of aircraft is modeled with a…

A: Given Information: Mean μ=90 Coefficient of variation is 15% The rivet design is unacceptable if the…

Q: If the sample size increases then standard error decreases. O True O False

A: To find: If the sample size increases then standard error decreases. True or false

Q: A license plate is to consist of two letters followed by four digits. Find the number of license…

A: Given,no.of letters=26 (A to Z)no.of digits=10 (0 to 9)

Q: 62% of all violent felons in the prison system are repeat offenders. If 31 violent felons are…

A: Please note that as per our guidelines if multiple questions are posted we can answer the first one.…

Q: The probabilities that a student will receive an A, B, C or D grade are 0.4, 0.3 0.2 and 0.1…

A: From the provided information, The probability distribution table is as follow: Grade A B C D…

Q: A survey of 100 persons revealed that 72 of them had eaten at restaurant P and that 52 of them had…

A: total outcomes in sample space (n)= 100 n(P) = 72 n(q) = 52 which number is not possible for n(P∩q)

Q: use the atleast once rule to find the probabilitiesof the following event. Getting at least one head…

A: The experiment is tossing six fair coins. That is, n=6. The probability of a head is ½.

Q: The investor chooses between shares of 20 companies, 8 of which are insurance companies, 5 are legal…

A: Given: total companies=20 number of insurance company=8 number of legal companies=5 number of…

Q: A fair six-sided the probability and not getting 6 on the second roll? die is rolled twice. What is…

A:

Q: The mean number of items purchased by shoppers at a grocery store is strongly skewed right with a…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: Illustrate the distributive law, An(BuC)=(AnB)u(An C), by means of the Venn diagram. Description…

A:

Q: The Acme Company manufactures widgets. The distribution of widget weights is bell-shaped with a mean…

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

Q: A card is selected at random from a standard deck of playing cards. Compute the probability that…

A: A standard deck of card has 52 cards.

Q: Suppose that the times taken for germination for cauliflower seeds are normally distributed with a…

A: given data,  normal distribution μ=7.1probability that exactly 85 % of the cauliflower seeds…

Q: A pawn shop in Arlington, Texas, has a drive-through window to better serve customers. The following…

A: Given that, the stores open at 10.00 am and Time between arivals Probability Interval of random…

Q: How many committees can be formed by choosing 12 men from an organization of a membership of 20 men?

A:

Q: Question 5 If A and B are independent events, and P(A) = 0.33 and P(B) = 0.54, find P(BA'). Express…

A: Solution

Q: 4-9 The probability density function of the net weight in pounds of a packaged chemical herbicide is…

A: (a). The probability density function is given. f(x)=2 . Where  x lies between 49.75 and 50.25. In…

Q: Question 12 A bag contains 27 white balls and 47 red balls. Three balls are drawn, without…

A: 12) Given that, Number of white balls = 27 Number of red balls = 47 Total number of balls = 74…

Q: /11% of a quantity is equal to what fraction of the​ quantity?

A: Given that Quantity = 311%   Percentage = 100   Fraction = 311100 Fraction = 311 x 100 = 31100

Q: What changes occur in the histograms as the value of n increases?

A: As the value of n​ increases

Q: 1. Suppose that Y is a random variable such that EY* = 11 +2k-1 k=1,2,... Determine the distribution…

A: