Chapter 6 Quiz1.C = 0.87;Zc=1.512.(0.723, 0.749)-E = 0.013-^p=0.7363.You construct a 95% confidence interval for a population mean using a random sample. Theconfidence interval is 24.9 <μ< 31.5. Is the probability thatμis in this interval 0.95? No.With 95% confidence, the mean is in the interval (24.9, 31.5).4.It is necessary to check that n^p≥5 and n^q≥5, because if either of the values are less than 5,the distribution may not be normally distributed, thusZccannot be used to calculate theconfidence interval.5.In a survey of 2275 adults, 729 say that they believe in UFOs. A 90% confidence interval for thepopulation proportion is (0.304, 0.336). With 90% confidence, it can be said that the population ofadults who believe in UFOs is between the endpoints of the given confidence interval.6.A biologist reports a confidence interval of (4.3, 5.5) when estimating the mean height (incentimeters) of a sample of seedlings.-The estimated margin of error is 0.6-The sample mean is 4.97.-The sampling error is -0.338.A researcher wishes to estimate, with 90% confidence, the population proportion of adults who thinkCongress is doing a good or excellent job. Her estimate must be accurate within 2% of the trueproportionA.) The minimum sample size needed assuming that no prior information is available: n = 1692, 1691,1681, 1702B.) The minimum sample size needed using a prior study found that 36% of the respondents said thatthey think Congress is doing a good or excellent job: n = 1559C.) Having an estimate of the population proportion reduces the minimum sample size needed.9.Confidence level c = 0.90 and sample size n = 27.tc=1.70610.(3.77, 6.93)-The sample mean is 5.35-The margin of error is 1.5811.Let p be the population proportion. In a survey of 1185 adults from country A, 202 said that they werenot confident that the food they eat in country A is safe.-The point estimate for p,^p,is0.170-The point estimate for q,^q,is0.83012.In a survey of 1120 adults from country A, 131 said that they were not confident that the food theyeat in country A is safe.-The point estimate for p,^p,is0.117-The point estimate for q,^q,is0.88313.Confidence level c = 0.99 and sample size n = 18.TC=2.89814.(0.670, 0.698)-E = 0.014-^p=0.68453

15.A biologist reports a confidence interval of (4.2, 5.2) when estimating the mean height (incentimeters) of a sample of seedlings.-The estimated margin of error is 0.5-The sample mean is 4.716.The sampling error is -0.4417.In a survey of 2336 adults, 724 say they believe in UFOs.A.) A 99% confidence interval for the population proportion is (0.285, 0.335)B.) With 99% confidence, it can be said that the population proportion of adults who believe in UFOsis between the end points of the given confidence interval.18.You construct a 95% confidence interval for a population mean using a random sample. Theconfidence interval is 24.9 <μ< 31.5. Is the probability thatμis in this interval 0.95?-No. With 95% confidence, the mean is in the interval (24.9, 31.5)19.(3.45, 8.13)-The sample mean is 5.79-The margin of error is 2.3420.C = 0.97-zc=2.1721.A researcher wishes to estimate, with 99% confidence, the population proportion of adults who thinkCongress is doing a good or excellent job. Her estimate must be accurate within 5% of the trueproportion.

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