Answered: A researcher wants to estimate the mean…

A researcher wants to estimate the mean income of a population with a 95% confidence level and a margin of error of $100. How large should the sample size be for the estimation?

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section: Chapter Questions

Problem 8SGR

See similar textbooks

Related questions

Q: This line graph displays both the percentage of Canadians that were homeowners (solid line) and the…

A: We are given the graph having percentage of Canadians that were home-owner(in solid lines) and the…

Q: online maintains a telephone help line to assist customers who are assembling their bicycle. The…

A: Given that n=150, p=18%=0.18, q=1-0.18=0.82 Note: According to bartelby question answer guidelines…

Q: What is the formula for calculating the Spearman's rank correlation coefficient, rho?

A: The formula for Spearman's rank correlation coefficient, denoted as ρ, is: ρ = 1 - 6∑d^2 / (n(n^2…

Q: If Y is a discrete random variable with possible values of 1, 2, and 4, and the probability mass…

A: Given: Y is a discrete random variable with possible values of 1, 2, and 4. The probability mass…

Q: How is the p-value calculated in a Kruskal-Wallis test?

A: Introduction The Kruskal-Wallis test is a nonparametric test.

Q: 13. Find the distribution function corresponding to the following probability density functions: (1)…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: I need step by step explan

A: here given event , A : {medium} B :{medium or on} C :{off and low} D:{high} Given table with…

Q: A researcher wants to compare the effectiveness of two different teaching methods on students' exam…

A: Given The data is as follows: Method A Method B 80 70 85 72 88 75 90 78 92 80 95 82…

Q: During a particularly dry growing season in a southern state, farmers noticed that there is a…

A: The given data is as follows. Number of seeds Yield 28 131 75 171 30 132 43 166 71 169…

Q: TABLE 3.4 ATM Transaction Times (in Seconds) for 63 Withdrawals Transaction Transaction 1 2 3 4…

A: Stem and leaf : It is a technique to present the data from quantitative form to graphical form :…

Q: Use the given minimum and maximum data entries, and the number of classes, to find the class…

A: Given,minimum=13maximum=94number of classes=7

Q: What is the paired-samples t test statistic for the following difference scores: 2, 6.5, 3, 7.8, 10,…

A: Given that x x2 2 4 6.5 42.25 3 9 7.8 60.84 10 100 4.2 17.64 ∑x=33.5 ∑x2=233.73

Q: What is the equation of a simple linear regression model with one independent variable x and one…

A: Givenx is a independent variable y is a dependent variableSlope(b1)=0.5y-intercept(b0)=2

Q: The actual proportion of families in a certain city who own their home is 0.68. If 84 families in…

A: We have given that, The random variable x having a independent and identical distributed Bernoulli…

Q: Number of Hours 1 2 3 4 5 6 7 8 Frequency 20 38 53 45 40 13 5 36 250 Amount Charged $3.00 6 9 12 14…

A: Hi! Thank you for the question. As per the honor code, we are allowed to answer three sub-parts at a…

Q: Test the claim that the proportion of men who own cats is smaller than 60% at the .025 significance…

A: The question is about identification of hypo. Given : Claim : Prop. of men who own cats is smaller…

Q: What is the formula for calculating the standard error of the mean (SEM) in a simple random sample…

Q: Let X be a random variable representing the number of heads obtained in a sequence of 4 coin flips.…

A: Answer : The expected value of X is 2, since each coin flip has a 50-50 chance of landing heads or…

Q: The probability that a randomly selected 1-year-old male chipmunk will live to be 2 years old is…

A: In this case, each of the 1-year-old chipmunks has the only option of "live" (defined as success) or…

Q: What is the correlation coefficient between two variables, x and y, if the mean of x is 8, the mean…

A: Here given that the mean of x is 8, the mean of y is 9, the standard deviation of x is 2, the…

Q: (b) Use Fisher's LSD procedure to determine which means are different. Find the value of LSD. (Round…

Q: The descriptive statistics presented below are the summary measures for the number of listings for…

A: We have to draw conclusions considering both the given table information for Female realtors and…

Q: An experiment was conducted to see if James Bond could taste the difference between a shaken martini…

Q: Consider a random variable X that follows a normal distribution with mean 100 and standard deviation…

A: Given: A random variable X that follows a normal distribution with mean 100 and standard deviation…

Q: Task-3. What are statistical measures of Frequency and Central Tendency? Support your answer with a…

A: The objective is to describe the statistical measures of frequency and Central tendency with…

Q: 1.7 Fisher's irises: Sir Ronald Aylmer Fisher was an English statistician, evolutionary biologist,…

A: The data set contained sepal length and width, and petal length and width from three species of iris…

Q: The table shows the number of days on the market for the 36 recent home sales in the city of Sonando…

A: Given data indicates the number of days on the market for the 36 recent home sales in the city. The…

Q: Tourism is extremely important to the economy of Florida. Hotel occupancy is an often-reported…

A: Given,n1=1750 , n2=1800X1=1470 , X2=1458

Q: Construct a boxplot, by hand, for each vector. a.) M<-c(30, 2, 10, 200, 1, 80, 40, 30, 40, 35, 55)…

A: A boxplot is a graphical representation that depicts the five number summary of data. It also…

Q: The valid use of chi-square also requires that expected frequencies not be too small. Explain.

A: Introduction The χ2 test is a non-parametric test.

Q: answer just letter d , please

A: Solution:

Q: psychologist wants to investigate if there is a difference in the mean anxiety level between two…

A: Given that n1=25, n2=25

Q: Je−(x+y), 0, elsewhere The joint probability density function of W = X + Yand Z = Y using the change…

A: Joint pdf of (x, y) is given f(x, y)=e-(x+y) :x, y>0 Then to find joing pdf of W=x+y , z=y…

Q: A study was done on the timeliness of flights categorized as either "on time" or "delayed" of two…

A: Given that The study is done on the timeliness of flights of two major airlines. The airlines are…

Q: paint to how long auto body & paint business vested a paint-drying robot different brands of…

A: From given data we have : Robot 1 Robot 2 Robot 3 Robot 4 128 143 132 151 138 134 142 142…

Q: Why we find central measures in probability distribution?

A: Suppose a variable of interest is x.

Q: -30-20 -10 μ- 20 inches o-5 inches 10 20 30 A) Use the Z score formula to calculate and interpret a…

A: Answer :- Given, mean (μ)= 20 inches Standard deviation σ = 5 inches Using formula, Z - score=…

Q: In your post, address the following questions using all the data provided: 18 24 5 6 13 MPG 35 30 25…

A: The scatterplot of weight and mpg of cars is given.

Q: A company claims that the average lifespan of their battery is 10 hours. A random sample of 50…

A: Yes, we can reject the claim that the mean lifespan of the battery is 10 hours. To perform the…

Q: What is the equation for a simple linear regression model with one independent variable (x) and one…

A: We have to find the simple linear regression model for y and x.

Q: How do you determine if a strong positive or negative correlation exists between two variables using…

A: Correlation is a measure that indicates the strength and direction of association between two…

Q: Calculate the mean, the median, and the standard deviation of Variable Q8 [How many hours per night…

A: Given that, the number of hours per night he/she sleeps (x). Sample size (n) = 55 To find the mean,…

Q: What is the variance of a set of 10 numbers: 2, 4, 4, 4, 5, 5, 7, 9, 9, 9?

A: data : 2, 4, 4, 4, 5, 5, 7, 9, 9, 9 no. of data (n) = 10 x x2 2 4 4 16 4 16 4 16 5…

Q: #2 The National Automobile Dealers Association (NADA) publishes AutoExec Magazine, which annually…

A: The given market shares of new vehicles in the USA for 2005 is given as:

Q: In the muon lifetime experiment, we obtain a histogram for the recorded decays as function of the…

A: Note: Hi there! Thank you for posting the question. As you have posted multiple questions, as per…

Q: seattlecolleges.edu/courses/10176/assignments/81102 Kindle Psychology 2e-0... nts ning toring…

A: Given that Total=219+151+144+348+196+127=1185 Brown=151

Q: fit to a data set with p predictor variables, and the adjusted R-squared value is 0.75. What can we…

A: Multiple regression model y = b0+b1x1+b2x2 Independent variables x1 and x2 Dependent variable y…

Q: In a multiple regression analysis with three independent variables (X1, X2, and X3), what is the…

A: Multiple regression analysis is a statistical method used to examine the relationship between a…

Q: An Ipsos poll recently surveyed the views of Canadians regarding the needs of the LGBTQ communities…

Q: In an experiment, four different brands of fertilizer (A, B, C, and D) were tested on the growth of…

A: Introduction The Friedman Test is a non-parametric statistical test used to compare the…

Question

A researcher wants to estimate the mean income of a population with a 95% confidence level and a margin of error of $100. How large should the sample size be for the estimation?

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

Expert Solution

Step 1

To determine the sample size required for the estimation, we can use the formula for sample size based on the margin of error:

n = (Z^2 * σ^2) / E^2

where Z is the Z-score for the desired confidence level (e.g. for 95% confidence, Z = 1.96), σ is the standard deviation of the population, and E is the desired margin of error.