An economist is interested in studying the incomes of consumers in a particular country. The population standard deviation is known to be $1,000. A random sample of 50 individuals resulted in a mean income of $15,000. What is the width of the 90% confidence interval?

Q: Self-Reported Health Status Excellent 30 Very Good 80 Good 100 Fair 60 Рor 30 TOTAL 300

A: The true proportion of Americans, that falls in the health category status of "poor" is defined…

Q: How many of the 3005 subjects used at least one prescription medication? Construct a 90% confidence…

A: p=0.817 = probability of subject use at least one prescription  n = 3005 = number of adults involved…

Q: If n-29, 7(x-bar)-35, and s-7, construct a confidence interval at a 90% confidence level. Assume the…

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Q: In a random sample of 100 men in the United States, 55 of them were married. Using a 95% confidence…

A: We have given that,  Sample size (n) = 100 and favorable cases (X) = 55  Then,  We will find the 95…

Q: Strictly speaking, what is the best interpretation of a 95% confidence interval for the mean? If…

A: In general, the 95% confidence interval interprets that there is 95% confidence that the population…

Q: If we want to provide a 95% confidence interval for the mean of a population when the population…

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Q: When constructing a confidence interval or testing a hypothesis regarding a population mean ?, which…

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Q: #7. On the verbal section of the SAT, the standard deviation is known to be 100. What size sample…

A: Introduction: The 100 (1 – α) % confidence interval for the population mean, μ, when the population…

Q: In a study by Sallie Mae and Gallup, 223 of the 934 respondents said that they paid for their…

A: Obtain the 95% confidence interval for the proportion of students who paid for their education by…

Q: When calculating the confidence interval for a population mean, which distribution is used?

A: Confidence interval for mean: When the sample size is large (n>30) and population variance (or…

Q: Among various ethnic groups, the standard deviation of heights is known to be approximately three…

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Q: If a confidence interval for the mean is (34≤μ≤86)(34≤μ≤86), a) What is the point estimate?    b)…

A: (a) The point estimate is 60, which is obtained below: Point estimate=Upper limit+lower…

Q: In a survey, the planning value for the population proportion is . How large a sample should be…

A: Let, Proportion =p Margin of error=E CI is =Zc n=?

Q: The International Nanny Association reports that in a sample of 528 in-home child care providers…

A: Solution:Part (a): Finding the 95% confidence interval for the true proportion of all nannies who…

Q: Use the given confidence interval to find the margin of error and the sample mean . (12.9, 20.1)

A: See the handwritten solution

Q: A researcher calculates a 90% confidence interval of (0.24,0.4) for a proportion. What was the…

A: Given :confidence level = 90% confidence interval = (0.24,0.4) p is unknown, so p=0.5 We want to…

Q: In a study by Sallie Mae and Gallup, 323 of the 1404 respondents said that they paid for their…

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Q: Use the given confidence interval to find the margin of error and the sample mean.

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Q: If the sample mean is 70 and the standard error of the sample mean is 8, what will be the 90%…

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Q: The statistics department is interested in estimating the proportion of students who have majored in…

A: Here we need to find the required sample size to estimate the proportion of students who majored…

Q: If the alpha level is .05, then the confidence level is ?

A: Given: alpha = 0.05 confidence level / significant level = 1 - alpha

Q: 4. A researcher asks 600 people if they received a flu vaccine, and 65% said they did. What is the…

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Q: A sociologist develops a test to measure attitudes about public transportation, and 20 randomly…

A: The confidence interval is a set of elements that have been imagined to comprise, with a specified…

Q: An investigative reporter contacts a random sample of hotels, and finds a 95% confidence interval…

A: Given that  The 95% confidence interval for the proportion of hotels in the united states have…

Q: Determine the margin of error for the confidence interval for the proportion: 0.575 <p<0.722

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Q: Which of the following does NOT have an effect on the width of a confidence interval? Group of…

A: Which of the following does NOT have an effect on the width of a confidence interval? Group of…

Q: If the mean flying time for a sample of 65 pilots was 15.6 hours per month, and the population…

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Q: (a) What is the meaning of a confidence interval? (b) For a given set of measurements, will the 95%…

A: Confidence Interval can be expressed as a range of values, where it is likely for our true value of…

Q: In a survey, the planning value for the population proportion is p* 0.16. How large a sample should…

A: Obtain the sample size of a preliminary estimate for p is 0.16 with the 90% confidence.   The…

Q: What is the critical t-value for finding a 95 percent confidence interval estimate from a sample of…

A: Given: Sample size (n)=18 Confidence level = 95% Level of significance = 1-confidence level = 1-0.95…

Q: 1(c). Construct a 99% confidence interval for the true proportion of people who liked the chocolate…

A: here use given data table

Q: 3. In a sample of 300 people, 154 said that they watched news on television. Find the 90% confidence…

A: Given : Sample size of people (n) = 300 Let X : No. of people from sample  who said they watched…

Q: If the sample mean is 70 and the standard error of the sample mean is 8, what will be the 90%…

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Q: As the sample size gets smaller, what happens to the width of your confidence interval? O Wider /…

A: A confidence interval is an interval with a certain probability that a parameter will fall between…

Q: If a confidence interval for the mean is (41≤μ≤84)(41≤μ≤84), a) What is the point estimate?    b)…

A: a) What is the point estimate?

Q: If a confidence interval for the mean is (38≤μ≤89)(38≤μ≤89), a) What is the point estimate?    b)…

A: Given,   Lower bound = 38​ Upper bound = 89

Q: If a class took an exam and scored a mean of 82 with a standard deviation of 12, what would be the…

A: Given, Mean(x)=82Standard Deviation(s)=12

Q: In a survey, the planning value for the population proportion is p* = 0.25. How large a sample…

A: Given : Population proportion (p*) = 0.25 Confidence level = 95% So ; significance level (α) =…

Q: In a survey, the planning value for the population proportion is p* = 0.25. How large a sample…

A: Given,sample proportion(p*)=0.25margin of error(E)=0.08α=1-0.95=0.05α2=0.025Z0.025=1.96   (from…

Q: If a confidence interval for the mean is (43≤μ≤82)(43≤μ≤82), a) What is the point estimate?    b)…

A: Given the confidence interval for the population mean in tri-linear inequality form: Hence,

Q: If you obtained one thousand 95% confidence intervals for a population mean, μ, roughly how many of…

A: A 95% confidence interval means that if we take 100 different samples and determine a 95% confidence…

Q: Use the accompanying Grade Point Averages data to find 80%, 85%, and 99% confidence intervals for…

A: The degrees of freedom is, df=n-1=30-1=29 The degrees of freedom is 29. Computation of critical…

Q: The manager of a car company will select a random sample of its customers to create a 90 percent…

A: From the provided information, Confidence level = 90% Margin of error = 0.06

Q: Example : In the group of 345 children surveyed, the sample mean was 11.3 and the standard deviation…

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Q: For a sample with a mean of 10, a std of 5 and an n of 30, what is the lower bound of the 95%…

A: Given data, x=10σ=5n=30z-value at 95% confidence is Zc=1.96

Q: Suppose you needed to form a 92% confidence interval for a population mean. What z value would you…

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Q: Which confidence level will produce the widest confidence interval, given a sample proportion of…

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Q: Among various ethnic groups, the standard deviation of heights is known to be approximately three…

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Q: on the data she gathers. Which one of the following combinations of sample size and confidence level…

A: here AS PER GUIDELINES I HAVE CALCULATED FIRST MAIN QUESTION , AS YOU HAVE POSTED MULTIPLE DIFFRENT…

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.