1. How is the expected length of a confidence interval related to the margin of error?
Q: The housing market has recovered slowly from the economic crisis of 2008. Recently, in one large…
A: Given information: From a large community, 36 bids are randomly sampled. The sample size is n=36.…
Q: What is the critical t-value (found in the t-table) if you are making a 90% confidence interval with…
A: Confidence level=90%Sample size(n)=20
Q: 1. Determine the critical value (z*) you would use to create a 94% confidence interval.
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Q: Why does increasing the confidence level result in a larger margin of error?
A: We know that the Margin of error is directly proportional to the test statistic's critical value,…
Q: Compute the margin of error of the 90% confidence level when a = 3 and n= 30
A: Given that ?=3 , n=30 Formula for margin of error E=Zc*?/√(n)
Q: Exercise 19. Why are narrow confidence intervals better than wide ones? Discuss how n, o², and a…
A: Confidence intervals are used to estimate the range of values in which the true population parameter…
Q: A group of medical students volunteering at a maternity hospital in Florida are looking to determine…
A: Given that, x=392,n=650 The best point estimate of the population proportion is sample proportion…
Q: What is the impact of increasing the confidence level for a confidence interval? Makes the interval…
A: We are assuming that all other things are constant. Confidence Interval is range that contains all…
Q: what are the requirements for using a t-distribution to calculate a 95% confidence interval?
A: Solution-: We want to find what are the requirements for using a t-distribution to calculate a 95%…
Q: You are the manager of a local cinema, and want to investigate how much the average customer spends…
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Q: If n = 140 and p (p-hat) = 0.3, construct a 99% confidence interval. Give your answers to three…
A: Given that,The sample size is The sample proportion is The confidence level is
Q: (b) Assume that the mean score for students taking traditional courses is 5.60. A college that…
A: The mean score for students taking traditional curses is 5.60.
Q: nterval for the proportion of adults who believe that economic conditions are getting better. Part:…
A: Population proportion p=0.27Margin of error =E =0.05
Q: What does it mean to say that the confidence interval methods for the mean are robust against…
A: What does it mean to say that the confidence interval methods for the mean are robust against…
Q: The assumptions for using a confidence interval are different than a hypothesis test. True False
A: The confidence interval is a statistical test that provides a plausible interval for the population…
Q: If n = 160 and p (p-hat) = 0.85, construct a 95% confidence interval. Give your answers to three…
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Q: Determine from a confidence interval whether a test is significant?
A: Null hypothesis states that there is no difference between populations or a set of given…
Q: (b) Data collected in an earlier study suggest that the mean in 2000 was 6.93 years. A sociologist…
A: From the provided information,sample size (n) = 844sample mean (x̄) = 8.54standard deviation (s) =…
Q: What can we do to make a confidence interval narrower without changing the confidence level?
A: Confidence interval: A range of values such that the population parameter can expected to contain…
Q: True or false? The p-value is used to construct confidence intervals
A: There is close relationship bethe width of the confidence interval and the size of the p value. As…
Q: 7. Why is a confidence interval also called a "margin of error"?
A: Margin of error allows us to feel confident a certain percentage of the time within a range of…
Q: If n = 300 and p (p-hat) = 0.8, construct a 99% confidence interval. What is the margin of error?…
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Q: if for some reason it was not possible to obtain the 99% confidence interval from SPSS, how could…
A: Given information: Confidence level=99%=0.99α=1%=0.01
Q: Suppose a random sample of 50 basketball players showed the average height to be 78 inches. Also,…
A: From the provided information, Population standard deviation (σ) = 1.5 Sample mean (x̄) = 78 Sample…
Q: A study is interested in the proportion of postgraduate students who have met the criteria of…
A: It is given that sample size (n) is 50 and x is 15.
Q: How are z and t confidence intervals different? Choose one interval and give an example of how it…
A: Confidence interval for mean: When the sample size is large (n>30) and population variance (or…
Q: Is the margin of error for a confidence interval for a population equivalent to the standard…
A: The margin of error for a confidence interval when population standard deviation is known, The…
Q: True or False? The margin of error is one-third the width of the confidence interval.
A: The margin of error is how far from the estimate we think the true value might be (in either…
Q: If 25 falls inside the confidence interval, then you would fail to reject the null hypothesis and…
A: If 25 falls inside the confidence interval, then you would fail to reject the null hypothesis and…
Q: when does an inferential statistics problem involve either a confidence interval estimate or a…
A: Hypothesis test- It is used to test the hypothesized population mean with respect to the sample…
Q: What is the difference in the computation of a confidence interval between cases in which you know…
A: Population standard deviation known: When population standard deviation is known, the z-critical…
Q: What happens in a confidence interval if the size of the sample increases the length of interval
A: WIdth of a confidence interval = W Margin of error = E
Q: how you recognize when an inferential statistics problem involves either a confidence interval…
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Q: What effect does increasing the sample size have on the width of a confidence interval? I know that…
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Q: If n = 230 and (p - hat )= 0.35, find the margin of error at a 98% confidence level
A: The question is about margin of erro Given : Sample size ( n ) = 230 Sample prop. ( p^ ) = 0.35…
Q: What is Confidence Intervals for μ1 − μ2?
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Q: 90% confidence interval for the mean of airline reservations being canceled on the day of the flight…
A: Given 90% confidence interval is (2.68,9.42) Lower limit=2.68 Upper limit=9.42 Point estimate p=?
Q: If n = 140 and p (p-hat) = 0.8, construct a 95% confidence interval. %3D Give your answers to three…
A: We want to find the 95% CI for population proportion
Q: For a given sample, a 50% confidence terval for the population mean is narrower than a 90%…
A: For a given sample size and population standard deviation, the interval estimation of the…
Q: Sleep apnea: Sleep apnea is a disorder in which there are pauses in breathing during sleep. People…
A: Let X be the number of people 65 and over who have sleep apnea.X= 115 n= 421level of significance…
Q: A university would like to estimate the proportion of fans who purchase concessions at the first…
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- True or False Q: If a 95% confidence interval for the difference in two independent means is (-4.5 to 2.1), then the point estimate is -2.1.A random sample from a population of adults consists of 67 men and 43 women. (a) Give a 95% confidence interval for the proportion of men in the population. (b) Interpret that confidence interval.When computing a confidence interval, the size of the error term depends on what?
- 2. The margin of error is twice the length of a confidence interval. True False2. What do Confidence intervals tell us? 3. How can confidence intervals be used in real life?In an article in the Journal of Marketing, Bayus studied the differences between "early replacement buyers" and "late replacement buyers" in making consumer durable good replacement purchases. Early replacement buyers are consumers who replace a product during the early part of its lifetime, while late replacement buyers make replacement purchases late in the product's lifetime. In particular, Bayus studied automobile replacement purchases. Consumers who traded in cars with ages of zero to three years and mileages of no more than 35,000 miles were classified as early replacement buyers. Consumers who traded in cars with ages of seven or more years and mileages of more than 73,000 miles were classified as late replacement buyers. Bayus compared the two groups of buyers with respect to demographic variables such as income, education, age, and so forth. He also compared the two groups with respect to the amount of search activity in the replacement purchase process. Variables compared…
- What happens to the interval width as confidence level increases? Why?What will happen to the precision of a confidence interval if the variability of a sample gets reduced, all other things equal?What effect does increasing the sample size have on the length of a Confidence Interval (CI)? Specifically, what happens to the distance between the Left-Hand End Point and the Right-Hand End Point of the CI if everything else remains the same? EXPLAIN YOUR ANSWER
- State the assumptions for computing a confidence interval on the difference between means?explain the logic behind why confidence intervals with higher confidence levels are wider than others?A flower shop owner wants to estimate the average retail value of the best-selling flower in his inventory. A random sample of 10 flowers indicates an average value of 15 pesos and a standard deviation of 3.5 pesos. What are the point estimate and the 99% confidence interval in the average value of the flower? What is the confidence interval estimate of the problem? a. (11.40 , 18.60) b. (7.29 , 12.71) c. (11.68 , 18.32) d. (7.06 , 12.94)