Working Backwards from the Confidence Interval to Find the Sample MeanSometimes when we read statistical studies, only the confidence interval is stated; however, if the confidence interval is known, we can work backwards to find the sample mean. Suppose a sample mean was used to construct an interval of (42,49). What was the value of the sample mean?

Q: What is the purpose of the confidence intervals in Statistics?

A: Confidence interval is derived from the Sample stastics for the estimatation of population…

Q: n = 260 and X = 208, construct a 90% confidence interval for the population proportion, p. Give…

A: Given data,x=208n=260p^=xn=208260=45=0.80

Q: Suppose you select a random sample of N=81, and find X = 50, and s = 9.9. Determine the 99%…

A: Given Mean=50 Standard deviations=9.9 n=81

Q: An occupational therapist (OT) is comparing two different treatments to see which is more effective…

A: we have two groups one consisting of participants A, B, C, D and the other treatment is on…

Q: If the P-value is 0.003 and the level of significance , , is 0.05 in a hypothesis test for a mean,…

A: Given,p-value =0.003and  level of significance(α)=0.05

Q: If n = 220,p = 0.4,then what will be the 87.4% confidence interval for the population proportion?

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Q: A study quoted in The Windsor Star suggested that mathematics should be taught in the afternoon…

A: We have given that,  Confidence interval = 95 % and margin of error (B) = 0.06 Then,  We will find…

Q: if ue want a 96%. confidence nterval on populatron mean with a sample size of a3, find or 土

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Q: In statistics, what is a Confidence Interval and how confidence intervals are used in research

A: We have define the confidence interval . Also we have find the its use in the research

Q: If n = 180 and X = 144, construct a 90% confidence interval for the population proportion, p. Give…

A: Solution: From the given information, X=144, n=180 and the confidence level is 0.90. The sample…

Q: The population mean of a set of data is unknown. The sample mean is 44, and the error bound for the…

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Q: Medical research has shown that repeated wrist extension beyond 20 degrees increases the risk of…

A: One sample T- test is applicable ___________________________________

Q: Of the following general derivations, choose the formula that you need for computing a confidence…

A: Confidence interval = ??

Q: Assume that population mean is to be estimated from the sample described. Use the sample results to…

A: Given95% confidence interval N=361 x = 59.1 seconds. z= 4.9 SecondsFind the margin of error?

Q: Suppose a professor wants to know if students in her statistics class have a good grasp of basic…

A: Given: Sample size n=6 Sample mean x¯=∑i=1nXin=62+92+75+68+83+956=79.167 Sample standard deviation…

Q: If n = 250 and X = 200, construct a 99% confidence interval for the population proportion, p. Give…

A: As given, n = 250 and x = 200.  It is asked to construct a 99% confidence interval for the…

Q: There is a common belief that "men marry women who are younger than they are". To test this…

A: We have given the following statement about the hypothesis.

Q: A statistics practitioner took a random sample of 55 observations from a population whose standard…

A: It is given that, Sample mean = 104. Population standard deviation, sigma is 31. The sample size, n…

Q: How many people should be surveyed to construct a 95% confidence interval with error = 3% to…

A: Given that Margin of error, E = 0.03 Population proportion, p = 0.15 Level of confidence = 95%

Q: If Xbar=93​, σ=13​, and n=62​, construct a 99​% confidence interval estimate of the population​…

A: Given that  Sample size: n=62 Sample mean: x¯=93 Population standard deviation: σ=13 Confidence…

Q: n = 480 and X = 384, construct a 90% confidence interval for the population proportion, p. Give…

A: Here is given that, n =480   x = 384 We will use one proportion  z confidence interval.

Q: Use the confidence interval to find the margin of error and the sample mean. (12, 20) O E = 4, X =…

A: confidence interval for mean : (12,20)

Q: Which has the greatest standard error?     mean=20, s.d.=10, n=9     mean=30, s.d.=15, n=16…

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Q: Suppose you survey a random sample from a large population to understand the population proportion.…

A: Obtain the sample size of a no preliminary estimate for p. The formula of sample size is, Obtain…

Q: If n = 530 and X = 424, construct a 99% confidence interval for the population proportion, p. Give…

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Q: f n=300 and x=60, construct a 99% confidence interval estimate for the population proportion.

A: n=300 and x=60, construct a 99% confidence interval

Q: If n = 440 and X = 352, construct a 90% confidence interval for the population proportion, p. Give…

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Q: Find the sample size of American adults you would need to predict the results of an election with a…

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Q: A teacher collects the following data from 5 college students regarding the number of times they…

A: Given Information: Population mean is 4.0 Sample data: 6,5, 7, 6, 4  The objective is to test…

Q: n a sample of n = 5, four subjects have scores that are 1 point above the mean each. The 5th…

A: Let x be the mean  Sample size, n = 5 Four subjects have scores that are 1 point above the mean each…

Q: Use the sample results to approximate the margin of error and​ 95% confidence interval.   Sample…

A: Given data: Sample size, n = 64 Sample mean, x¯=69 Sample standard deviation, s=7 The degree of…