(solved)Statistic Quiz Due in 1 Hour. . . . .
Question 1Not yet answeredMarked out of 1.00Flag questionQuestion textFind the critical value za/2 that corresponds to a degree of confidence of 98%.Select one:a. 2.33b. 1.75c. 2.05d. 2.575Question 2Not yet answeredMarked out of 1.00Flag questionQuestion textFind the margin of error for the 95% confidence interval used to estimate the population proportion.n = 163, x = 96Select one:a. 0.0755b. 0.00291c. 0.132d. 0.0680Question 3Not yet answeredMarked out of 1.00Flag questionQuestion textUse the given degree of confidence and sample data to construct a confidence interval for the population proportion p.n = 165, x = 138; 95 percentSelect one:a. 0.780 < p < 0.893b. 0.790 < p < 0.882c. 0.779 < p < 0.892d. 0.791 < p < 0.881Question 4Not yet answeredMarked out of 1.00Flag questionQuestion textFind the minimum sample size you should use to assure that your estimate of will be within the required margin of error around the population p. Margin of error: 0.04; confidence level: 99%; from a prior study, estimated by 0.13Select one:a. 272b. 563c. 19d. 469Question 5Not yet answeredMarked out of 1.00Flag questionQuestion text459 randomly selected light bulbs were tested in a laboratory, 291 lasted more than 500 hours.Find a point estimate of the true proportion of all light bulbs that last more than 500 hours.Select one:a. 0.366b. 0.632c. 0.388d. 0.634Question 6Not yet answeredMarked out of 1.00Flag questionQuestion textA researcher is interested in estimating the proportion of voters who favor a tax on e-commerce.Based on a sample of 250 people, she obtains the following 99% confidence interval for the population proportion p:0.113 < p < 0.171Which of the statements below is a valid interpretation of this confidence interval?Select one:a. If many different samples of size 250 were selected and, based on each sample, a confidence interval was constructed, 99% of the time the true value of p would lie between 0.113 and 0.171.b. There is a 99% chance that the true value of plies between 0.113 and 0.171.c. If 100 different samples of size 250 were selected and, based on each sample, a confidence interval was constructed, exactly 99 of these confidence intervals would contain the true value of p.d. If many different samples of size 250 were selected and, based on each sample, a confidence interval was constructed, in the long run 99% of the confidence intervals would contain the true value of p.Question 7Not yet answeredMarked out of 1.00Flag questionQuestion textUse the confidence level and sample data to find the margin of error E. College students' annual earnings: 99% confidence; n = 74, = $3967, s = $874Select one:a. $262b. $237c. $1187d. $9Question 8Not yet answeredMarked out of 1.00Flag questionQuestion textUse the confidence level and sample data to find a confidence interval for estimating the population m. A group of 56 randomly selected students have a mean score of 30.8 with a standard deviation of 4.5 on a placement test. What is the 90 percent confidence interval for the mean score, m, of all students taking the test?Select one:a. 29.8 < m < 31.8b. 29.6 < m < 32.0c. 29.2 < m < 32.4d. 29.4 < m < 32.2Question 9Not yet answeredMarked out of 1.00Flag questionQuestion textUse the margin of error, confidence level, and standard deviation s to find the minimum sample size required to estimate an unknown population mean . Margin of error: $139, confidence level: 95%, s = $513Select one:a. 5b. 46c. 53d. 3Question 10Not yet answeredMarked out of 1.00Flag questionQuestion textDo one of the following, as appropriate: (a) Find the critical value za/2, (b) find the critical value ta/2, (c) state that neither the normal nor the t distribution applies.99%; n = 17; s is unknown; population appears to be normally distributed.Select one:a. za/2= 2.575b. ta/2 = 2.898 c. ta/2= 2.921Question 11Not yet answeredMarked out of 1.00Flag questionQuestion textIdentify the null hypothesis H0 and the alternative hypothesis H1. A researcher claims that 62% of voters favor gun control.Select one:a. Ho: p < 0.62 H1: p ? 0.62b. Ho: p ? 0.62 H1: p < 0.62 c. Ho: p ? 0.62 H1: p = 0.62d. Ho: p = 0.62 H1: p ? 0.62Question 12Not yet answeredMarked out of 1.00Flag questionQuestion textAssume that the data has a normal distribution and the number of observations is greater than 50. Find the critical z value used to test a null hypothesis.a = 0.05 for a left-tailed test.Select one:a. ±1.645b. -1.96c. -1.645d. ±1.96Question 13Not yet answeredMarked out of 1.00Flag questionQuestion textUse the given information to find the P-value. The test statistic in a right-tailed test is z = 1.43.Select one:a. 0.4236b. 0.0764c. 0.0434d. 0.5000Question 14Not yet answeredMarked out of 1.00Flag questionQuestion textDetermine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution or neither. Claim: m= 977. Sample data: n = 25, x-bar = 984, s = 25. The sample data appear to come from a normally distributed population with s = 28.Select one:a. Normalb. Neitherc. Student tQuestion 15Not yet answeredMarked out of 1.00Flag questionQuestion textIdentify the null hypothesis and the alternative hypothesis . A cereal company claims that the means weight of the cereal in its packets is at least 14 oz.Select one:a. Ho: µ > 14 H1: µ ? 14b. Ho: µ = 14 H1: µ < 14c. Ho: µ < 14 H1: µ ? 14d. Ho: µ = 14 H1: µ > 14 Question 16Not yet answeredMarked out of 1.00Flag questionQuestion textA medical school claims that more than 28% of its students plan to go onto general practice. It is found that among a random sample of 130 of the schools students, 32% of them plan to go into general practice. Find the P-value for a test of the schools claim.Select one:a. 0.1539b. 0.1635c. 0.3078d. 0.3461Question 17Not yet answeredMarked out of 1.00Flag questionQuestion textFind the critical value or values of based on the given information. H1: ? > 26.1, n = 9, ? = 0.01Select one:a. 1.646b. 20.090c. 2.088d. 21.666Question 18Not yet answeredMarked out of 1.00Flag questionQuestion textAssume that a hypothesis is test of a given claim will be conducted. Identify the type I error for the test.Select one:a. The error of rejecting the hypothesis that the mean is 30 miles per gallon when it really is greater than 30 miles per gallon.b. The error of failing to reject the hypothesis that the mean is 30 miles per gallon when it is actually greater than 30 miles per gallon.c. The error of rejecting the hypothesis that the mean is more than 30 miles per gallon when it is really more than 30 miles per gallon. Question 19Not yet answeredMarked out of 1.00Flag questionQuestion textFind the number of successes x suggested by the given statement. A computer manufacturer randomly selects 2360 of its computers for quality assurance and finds that 2.54% of these computers are found to be defective.Select one:a. 58b. 65c. 63d. 60Question 20Not yet answeredMarked out of 1.00Flag questionQuestion textFrom the sample statistics, find the value of used to test the hypothesis that the population proportions are equal. n1 = 507 n2 = 140 x1 = 194 x2 = 35 Select one:a. 0.257b. 0.353c. 0.642d. 0.566Question 21Not yet answeredMarked out of 1.00Flag questionQuestion textCompute the test statistic used to test the null hypothesis that . In a vote on the Clean Water bill, 41% of the 200 Democrats voted for the bill while 40% of the 230 republicans voted on the bill.Select one:a. 0.180b. 0.211c. 0.127d. 0.233Question 22Not yet answeredMarked out of 1.00Flag questionQuestion textDetermine whether the samples are independent or consist of matched pairs (dependent samples). The effectiveness of a new headache medicine is tested by measuring the amount of time before the headache is cured for patients who use the medicine and another group of patients who use a placebo drug.Select one:a. Matched pairsb. Independent SamplesQuestion 23Not yet answeredMarked out of 1.00Flag questionQuestion textThe two data sets are dependent. Find to the nearest tenth. x12.911.310.712.912.9y12.612.610.010.712.3Select one:a. 0.3b. 0.7c. 0.6d. 0.5Question 24Not yet answeredMarked out of 1.00Flag questionQuestion textAssume that you want to test the claim that the paired data come from a population for which the mean difference is . Compute the value of the test statistic.x1151359y87964Select one:a. t = 1.292b. t = 0.578c. t = 2.890d. t = 0.415Question 25Not yet answeredMarked out of 1.00Flag questionQuestion textGiven the linear correlation coefficient r and the sample size n, determine the critical value of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.r = -0.568, n = 25Select one:a. Critical values: r = ±0.487, no significant linear correlationb. Critical values: r = ±0.396, significant linear correlationc. Critical values: r = ±0.487, significant linear correlationd. Critical values: r = ±0.396, no significant linear correlationQuestion 26Not yet answeredMarked out of 1.00Flag questionQuestion textThe regression equation relating to attitude rating(x) and job performance rating (y) for the employees of a company is y^ = 11.7 + 1.02x. Ten pairs of data were used to obtain the equation. The same data yield r = 0.863 and . What is the best predicted job performance rating for a person whose attitude rating is 70?Select one:a. 83.1b. 81.9c. 80.1d. 12.6Question 27Not yet answeredMarked out of 1.00Flag questionQuestion textThe manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, ?, of 48°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.Select one:a. H0: ? ? 48° H1: ? < 48°b. H0: ? = 48° H1: ? ? 48°c. H0: ? ? 48° H1: ? = 48°d. H0: ? ? 48° H1: ? > 48°Question 28Not yet answeredMarked out of 1.00Flag questionQuestion textUse the given information to find the coefficient of determination. Find the coefficient of determination, given that the value of the linear correlation coefficient, r is -0.721.Select one:a. 0.721b. 0.520c. 0.279d. 0.480Question 29Not yet answeredMarked out of 1.00Flag questionQuestion textUse the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.x131379y1431161009890Select one:a. y^ = 150.7 6.8xb. y^ = 132.79 – 3.54 xc. y^ = -150.7 + 6.8xd. y^ = 140.4 6.2xQuestion 30Not yet answeredMarked out of 1.00Flag questionQuestion textA researcher wishes to test whether the proportion of college students who smoke is the same in four different colleges. She randomly selects 100 students from each college and records the number that smoke. The results are shown below.College ACollege BCollege CCollege DSmoke17261134Don’t smoke83748966 Use a 0.01 significance level to test the claim that the proportion of students smoking is the same at all four colleges if the test statistic: ?2 = 17.832.Select one:a. Do not reject the null hypothesis. There is insufficient evidence to warrant rejection of the claim that the proportion of students smoking is the same at all four colleges.b. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the proportion of students smoking is the same at all four colleges.c. Do not reject the null hypothesis. There is in sufficient evidence to warrant rejection of the claim that the proportion of students smoking is the same at all four colleges.d. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the proportion of students smoking is the same at all four colleges.
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