You are trying to determine that average height of females living in New Jersey. To estimate this population mean, you collect a sample of 100 women and the average height of the women sampled was 54.5 inches. Assume the standard deviation of the population is 3 inches. Using a 95% confidence level, determine the following: a. Based on the poll, what is the point estimate of the mean height of female NJ residents? b. Find the margin of error for this sample. c. Construct a confidence interval to estimate the mean height of female NJ residents using a 95% confidence level.

You are trying to determine that average height of females living in New Jersey. To estimate this population mean, you collect a sample of 100 women and the average height of the women sampled was 54.5 inches. Assume the standard deviation of the population is 3 inches. Using a 95% confidence level, determine the following: a. Based on the poll, what is the point estimate of the mean height of female NJ residents? b. Find the margin of error for this sample. c. Construct a confidence interval to estimate the mean height of female NJ residents using a 95% confidence level.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Q: A population of values has a normal distribution with μ = 24.8 and ♂ = 79.8. You intend to draw a…

A: From the provided information,Mean = 24.8Standard deviation = 79.8Sample size (n) = 142

Q: What is the critical value for the rejection region? Round to 3 decimal places. Type your…

A: Given,a chi-squared test testing the difference between the types of ear piercings.To,find the…

Q: For the data in the following table, compute the additive quarterly seasonal forecast model for the…

A: Let us define the dummy variables,Therefore, number of…

Q: Potassium Requirement. The normal daily potassium requirement for humans falls within the range of…

A: Given information: Let X be the potassium in bananas is normally distributed, with a mean equal to…

Q: ▸ Frequencies FREQUENCIES N Valid Missing Mean Median Mode Valid /VARIABLES- d9_sibs /FORMAT-AVALUE…

A: From the provided frequency distribution of the number of brothers and sisters, the output is…

Q: Head Start is an enrichment program for young children. The program’s administrators would like to…

A: Given that,claim: Has the program increased the students’ IQs.

Q: Does the age at which a child begins to talk predict later score on a test of mental ability? A…

A: Let X denote the age of young children: Age(in months) and Y: Gesell Adaptive score.The sample size…

Q: According to a certain website, wine critics generally use a wine-scoring scale to communicate their…

A: Answer Given,91,91,90,82,76,91,64,77,84,79,87,96The sample size [n] =12

Q: The claim is that for 8 AM body temperatures of females, the mean is less than 98.6°F. The sample…

A: The hypothesized mean average body temperature of females, μ0=98.6oF.The sample size, n=39The test…

Q: A doctors clinic evaluates incoming disposable cotton tipped applicators using the single sampling…

A: single sampling planeIf the decision about accepting or rejecting lot is taken by on the basic of…

Q: Is the number of games won by a softball team in a season related to the team batting average? The…

A: It is required to obtain the correlation coefficient, r, and the equation of the least squares…

Q: An article has found that 1 out of 250 households have a bidet. If we were to sample 400 households…

A: The sample size is The probability of success is .The objective is to select the correct option.

Q: Is the number of games won by a major league baseball team in a season related to the team batting…

A: The given data is as follows: TeamGames wonBatting…

Q: After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired…

A: According to the given information,Sample size, n = 21Since, approximately equal number of qualified…

Q: Listed below are paired data consisting of amounts spent on advertising (in millions of dollars) and…

A: The given hypothesis is versus .The data is amounts spent on advertising and the profits.

Q: Show that the expected value of a geometric distribution is P

A: Suppose the variable of interest is x, where x follows a geometric distribution.

Q: a. State the null and alternative hypotheses for the research question: Does test comprehension in…

A: Since you have posted a question with multiple subparts, we will provide solution to the first three…

Q: Accounting procedures allow a business to evaluate its inventory costs based on two methods: LIFO…

A: The data is given as follows.FIFOLIFO225216123105101116212202253250wants to calculate the value of…

Q: A researcher conducted a study of a professor's answer choices on a multiple choice test. The…

A: The objective of this question is to test the null hypothesis that the professor's answer choices…

Q: According to records, the amount of precipitation in a certain city on a November day has a mean of…

A: From the provided information,

Q: [Regression Analysis] How do you solve this question WITHOUT USING ANY CODE? The answer is provided…

A: Independent variable (X) is Sales space Dependent variable (Y) Weekly sales n= 12 observations

Q: Find the least-squares regression line ŷ = ba + b₁ through the points (-2, 2), (3, 6), (5, 14), (8,…

A: We have given the data points as follows: -22365148191027

Q: Consider the following estimated regression model relating annual salary to years of education and…

A: The given data is as follows:The regression equation is .Education: 6 yearsExperience: 19 years

Q: Suppose an experiment has five equally likely outcomes: E₁, E₂, E3, E4, E5. Assign probabilities to…

A: Classical method in probabilty is the experiments have a fixed number of basic outcomes, which are…

Q: Consider the following computer output from a multiple regression analysis relating the price of a…

A: SolutionGiven data represents the regression analysis with price as the dependent variable and the…

Q: Pediatric researches sampled 680 children under age 5 and found that 68% of them of had previously…

A: The sample of children, The sample proportion of children who had previously contracted chicken pox…

Q: lizards and standard deviation of 9 lizards. What would be the probability that a randomly selected…

A: Let X be the random variable the amount of lizards a person sees during a hike.Given that,

Q: Strength of concrete: The compressive strength, in kilopascals, was measured for concrete blocks…

A: The objective of this question is to determine whether there is a significant difference in the mean…

Q: Consider a random variable X which, for a given k > 0, has the PDF A |x| (1 + x²)k fx(x) = (a) For…

Q: x is a gaussian random variable with a PDF as described above, where μ is the mean, σ is the…

A: For the given Gaussian distribution, the parameters are specified as follows:The mean, μ.The…

Q: According to Masterfoods, the company that manufactures M&M's, 12% of peanut M&M's are brown, 15%…

A: Hello! As you have posted more than 3 sub-parts, we are answering the first 3 sub-parts. In case…

Q: Test a claim that the mean amount of carbon monoxide in the air in U.S. cities is less than 2.31…

A: The sample size is 64, the sample mean is 2.38 and the sample standard deviation is 2.12.

Q: An investigator wants to perform an experimental study on the effectiveness of a new therapy…

A: A randomized controlled trial is the one in which each of the patients is assigned to one of the…

Q: Given a = -0.05, X X0.025 = 35.479, s = 207.36, and n = 22 compute the lower bound for a 95%…

A: The given significance level, α=0.05.The given right critical value for χ2 with sample size, n=22…

Q: Ho:μ = 17.82 Η:μ > 17.82 Your sample consists of 43 subjects, with a mean of 18.4 and standard…

A: Given information:

Q: Is there a baby season? Or does every season have the same number of babies born each year? The…

A: The question is about categorical data analysis.Given :Total no. of babies ( n ) = 844To find :1 )…

Q: The table below shows the average weekly wages (in dollars) for state government employees and…

A: We are given the equation of the regression line as,

Q: A local grocery store has asked you to examine the probability of choosing a product based on the…

A: We have given that the random variable is the height of the shelf from the floor. The customers'…

Q: Body temperature. Suppose the body temperature of healthy individuals is approximately normally…

A: Let X represnet the body temperature of healthy individuals.It is given that X is normally…

Q: If your null and alternative hypothesis are: Ho: μ = 15 H:μ > 15 Then the test is: Oleft tailed…

A: Given information-We have given a hypothesis.The null and alternative hypothesis is H0:H1:>15

Q: wers The following table shows a data set concerning the aerobic fitness of a sample of 20 male…

A: By the given data, we havex¯=(59+47+.....+68+40)/20=46.4y¯=(23+45+...+29+38)/20=38.55Then,we have…

Q: Internet tax: In 2013 , a consulting company asked 1019 U.S. adults whether they believed…

A: The objective of the question is to test the hypothesis that more than 39% of U.S. adults favor an…

Q: Test the claim below about the mean of the differences for a population of paired data at the level…

A: We have given that the samples are random and dependent, and the population is normally…

Q: What is the smallest sample size that guarantees that the margin of error is less than 15 when…

A: Margin of error(E)=15standard deviation()=509.72confidence level=95%

Q: Sleep apnea is a condition in which the sufferers stop breathing momentarily while they are asleep.…

A: The objective of the question is to test the claim that the percentage of commercial truck drivers…

Q: A population has a mean μ=169 and a standard deviation σ=21. Find the mean and standard deviation…

A: Mean()=169standard deviation()=21sample size(n)=46

Q: (a) Find the t-distribution critical value with degrees of freedom 11 and alpna 0.0005 t = (b) Find…

A: a)Degrees of freedom(df)=11

Q: Correct! Correct Answers A regional commuter airline selected a random sample of 25 flights and…

A: want to calculate the test statisticThe test statistic is given by,

Q: Consider the following estimated regression model relating annual salary to years of education and…

A: The regression equation to predict the estimated annual salary of an employee based on their number…

Q: A special "catch all" Keno ticket allows you to play a six - spot ticket - that pays only if you…

A: The provided information is as follows:The keno ticket allows to play a six-spot ticket.If wins then…

Question

confidence level, determine the following:

a. Based on the poll, what is the point estimate of the mean height of female NJ residents?

b. Find the margin of error for this sample.

c. Construct a confidence interval to estimate the mean height of female NJ residents using a

95% confidence level.

d. What sample size would be required to achieve a margin of error of less than 1 inch ?

Definition Definition Method in statistics by which an observation’s uncertainty can be quantified. The main use of interval estimating is for describing a range that is made by transforming a point estimate by determining the range of values, or interval within which the population parameter is likely to fall. This range helps in measuring its precision.

Expert Solution