large population of 5,000 students take a practice test to prepare for a standardized test. The population mean is 140 questions correct, and the standard deviation is 80. What size samples should a researcher take to get a distribution of means of the samples with a standard deviation of 10?    provide the solution of above questions

Q: Given a the normally distributed variable X with mean = 15 and standard deviation = 2.5, find:…

A: Given data, normal distribution ,μ=15σ=2.5here we have to find out p(13<x<16) =?

Q: r=√r2=√0.852

A: Given: Coefficient of determination r2 = 0.852 Formula Used: Correlation coefficient r = Coefficient…

Q: Assume monthly returns of 1%, -2%, 3% and 1%. What is periodic arithmetic mean, geometric mean,…

A: Given Information: Consider the given dataset: 1%, -2%, 3% and 1%

Q: Let X to be a random sample from a distribution with a probability density function given (0x0-1, if…

A: Given information: fx,θ=θxθ-1, 0<x<1 Consider, EX=∫01xfxdx       =∫01x*θxθ-1dx      =∫01θxθdx…

Q: Q1) c) The subjects' score of a student at the final exams were as in the following tables.…

A:

Q: Find the probability that the home has exactly 1 (a fireplace exclusive or a garage). Find the…

A: d. Suppose event F denotes that homes have a fireplace and event G defines that homes have a garage.

Q: Compute the correlation coefficient. | X 40 8 18 29 37 -10 The correlation coefficient is r= 26 8 40…

A:

Q: In a survey of 111 pet owners, 16 said they own a dog, and 54 said they own a cat. 8 said they own…

A:

Q: There are 6 identical research studies investigating percieved life satisfaction among younger…

A: Given that there are 6 identical research studies investigating perceived life satisfaction among…

Q: -X Evaluate Cnxp*q-x for the values of n, x, and p given below. 1 n = 8₁ x=2, p = 2 8, ...…

A: From the provided information, n = 8, x = 2, p = 1/2 The expression is as follow: Cn,xpxqn-x

Q: 1. What is the correlation coefficient for the two variables listed below? It is probably easiest to…

A: Data given X:19,4,12,54,51,53,64,82,85,86 Y:1,14,65,54,96,98,91,88,96,66

Q: 0.162 (b) Determine the mean of X. (Round your answer to 4 decimal places.) 0.2090 micrometers (c)…

A:

Q: Construct the confidence interval for the ratio of the population variances given the following…

A:

Q: A bottling company fills bottles with water  you measure the liquid volume of 6 bottles and get:…

A: Given information: Variable of interest=liquid in bottlen=6sample space={745,751,748,747,750,744}

Q: Exercise 1.3. A normally distributed random variable has a mean of 449: a. If a score of 325 has a…

A:

Q: Question Which of the given values is a solution to the equation 8c + 3 = -40c - 10? Select the…

A: Given equation ,  8c+3 = -40c-10 We have to find value of c

Q: Based on the transition matrix and associated diagram below: Next Year A 000 Yes This year ABC D 0.2…

A: Age structured matrix models are a common tool to study the demographics of the future by tracking…

Q: bet because it has a larger expected value. B. Neither bet is better because both games have the…

A: Two games  1 Casino 2 State lottery Expected value     Expected value 1 Casino -3.5…

Q: If X is normally distributed with mean μ and variance o2, it is generally described as X~ N(μ,0²).…

A: From the provided information, Mean (µ) = 2 Variance (σ2) = 9 X~N (2, 9)

Q: elsewhere i) Find the conditional distribution of the likelihood function given the function of the…

A:

Q: error. If the official has initial estima

A: 70% of the people in Limpopo support the economic strategies; p=0.70 The margin of error is 3% with…

Q: Assume Z has a standard normal distribution. Use Appendix Table III to determine the value for z…

A: The mean and the standard deviation of standard normal distribution are 0 and 1, respectively.

Q: i) Find the conditional distribution of the likelihood function given the function of the statistic,…

A:

Q: Osteoporosis is a condition in which the bones become brittle due to loss of minerals. To diagnose…

A: The normal distribution's standardized form has a mean of 0 and a standard deviation of 1. It is…

Q: Should an observational study or an experiment be performed to answer the research question below?…

A: Concept: In research design usually two type of study is done namely  Experimental and Observational…

Q: Solve for the R squared value Given the data using Excel y Signal 0 12.36 24.83 35.91 0.4 48.79 0.5…

A:

Q: Exhibit 10-40 The results of a recent poll on the preference of soccer fans regarding two top…

A: The question is about estimate of std. error of diff. between two popl. proportions Given : Total…

Q: tandard deviation = 2.89 millimeters (Round the answer to 2 decimal places.) If the length…

A: Given that  Probability density function (pdf) f(x)=0.1  , 1200 to 1210

Q: alculate the median of the data shown, to two decimal places, 24.4,11.1,2.1,29,8.7,6.9,6.6,1.1

A: The given data is 24.4,11.1,2.1,29,8.7,6.9,6.6,1.1

Q: i) Derive the standard error of B, se(B) = 0.0009, using MLE approach. ii) Find an approximate 95%…

A: Firstly it is required to determine the MLE of the parameter and then the variance to get the…

Q: to, elsewhere i) Find the conditional distribution of the likelihood function given the function of…

A:

Q: i) Find the level of significance of the test, a (ii) Calculate the power of the test. I

A: The level of significance is equal to the probability of type I error. The type I error is defined…

Q: A student recorded how long she had to wait for the bus each day, rounded to the nearest minute, for…

A: Given: The wait for the bus of each day are given: 4, 17, 2, 1, 3, 11, 14, 10, 6, 1, 2, 1, 4, 14,…

Q: Compute the following integration I = = x - 7€ - (² - 4 + 1) dz hint: Gaussian probability…

A:

Q: If A and B are mutually exclusive events, then P(A or B) = P(A)/P(B) P(A or B) =…

A: Answer: From the given data,  A and B are mutually exclusive events. Which means A and B are two…

Q: Let the Universal set be the letters a through j: U = {a, b, ..., i, j}. Let A = {b, c, e, i}, B =…

A: GivenUniversal set U={a,b,c,d,e,f,g,h,i,j}LetA={b,c,e,i}B={c,d,e,i}C={c,g,i,j}

Q: firm's sales and three economic indexes. The results were as follows:   Index Coefficient of…

A: Correlation measures degree of linear relationship between two variables.

Q: cations, where forming. at is the fractic

A: Here we have given two process 1 and process 2 to test that their proportion differ from each other…

Q: Evaluate E=z E 11 2 21 n₁ + 22 2 n₂ for z = 1.65,0₁ = 0.94, 0₂ = 0.72, n₁ = 18, and n₂ = 42. (Round…

A: Given: Z* = 1.65 σ1 = 0.94 σ2 = 0.72 n1 = 18 n2 = 42 Formula Used: Margin of error E = Z*σ12n1+σ22n2

Q: (b) Find the unweighted mean center, and comment on the differences between your two answers. (c)…

A: Weighted mean center = (3.34, 3.48)

Q: 1 b) A research conducted by SSTA022 Class representative at the University of Limpopo indicates…

A:

Q: What is F(0)? (F(.) denotes the CDF of X)

A: It is given that the random variable X with the empirical pmf. The values of X are -1, 0, 1 and 2.

Q: Exhibit 10-30 A quantitative analysis teacher wants to see if there is any difference in the…

A: For solving this problem we have toh solve for p-value

Q: Suppose that a South African Broadcasting Corporation (SABC) official wants to conduct a survey in…

A: Given Information: Confidence level is 95% Significance level α=1-0.95=0.05 The margin of error is…

Q: The amount of time that a drive‐through bank teller spends on a customer is a random variable with a…

A: given data μ=7.3σ=3.2n=64P(X>5.7)=?

Q: A research conducted by SSTA022 Class representative at the University of Limpopo indicates that…

A: There are two independent samples which are active and inactive African men. We have to construct…

Q: 1. A mail-order computer business has six telephone lines. Let X denote the number of lines in use…

A: Discrete variable are countable and finite number of observations. The probability measure the…

Q: 1. What is the median height of the students? 2. From visual inspection alone, the median of the…

A:

Q: Suppose 20% of the students on campus smoke. You select two students at random. In what percentage…

A:

Q: 3 The brain volumes (cm³) of 20 brains have a mean of 1074.5 cm³ and a standard deviation of 129.5…

A: Given data,n =20x¯   = 1074.5 cm3s   = 129.5 cm3standard deviation and range rule of thamb…