WEEK 7 PROBLEM (STATISTICS)

Fifty dash fourFifty-four wild bears were anesthetized, and then their weights and chest sizes were measured and listed in a data set. Results are shown in the accompanying display. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? Use a significance level of alphaαequals=0.050.05. Determine the null and alternative hypotheses. Upper H 0H0: rhoρ equals= 00 Upper H 1H1: rhoρ not equals≠ 00 (Type integers or decimals. Do not round.) Identify the correlation coefficient, r. requals= 0.9780.978 (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There are two critical values at requals=plus or minus± 0.2680.268. Your answer is correct. B. There is one critical value at requals= nothing. Is there sufficient evidence to support the claim that there is a linear correlation between the weights of bears and their chest sizes? Choose the correct answer below and, if necessary, fill in the answer box within your choice. (Round to three decimal places as needed.) A. No, because the absolute value of the test statistic nothing exceeds the critical value. B. No, because the test statistic nothing falls between the critical values. C. Yes, because the absolute value of the test statistic 0.9780.978 exceeds the critical value. Your answer is correct. D. Yes, because the test statistic nothing falls between the critical values. E. The answer cannot be determined from the given information. When measuring an anesthetized bear, is it easier to measure chest size than weight? If so, does it appear that a measured chest size can be used to predict the weight? A. No, it is easier to measure weight than chest size because the chest is not a flat surface. B. Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could not be used to predict weight because there is too much variance in the weight of the bears. C. Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could be used to predict weight because there is a linear correlation between the two. Your answer is correct. D. Yes, it is easier to measure a chest size than a weight because measuring weight would require lifting the bear onto the scale. The chest size could not be used to predict weight because there is not a linear correlation between the two. Question is complete. A data set includes weights of garbage discarded in one week from 6262 different households. The paired weights of paper and glass were used to obtain the results shown to the right. Is there sufficient evidence to support the claim that there is a linear correlation between weights of discarded paper and glass? Use a significance level of Determine the null and alternative hypotheses. Upper H 0H0: rhoρ equals= 00 Upper H 1H1: rhoρ not equals≠ 00 (Type integers or decimals. Do not round.) Identify the test statistic, r. requals= 0.3790.379 (Round to three decimal places as needed.) Identify the critical value(s). (Round to three decimal places as needed.) A. There is one critical value at requals= nothing. B. There are two critical values at requals=plus or minus± 0.250.25. Your answer is correct. State the conclusion. Because the absolute value of the test statistic is greater than the positive critical value, there is sufficient evidence to support the claim that there is a linear correlation between the weights of discarded paper and glass for a significance level of alphaαequals=0.050.05. Question is complete