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An experimental drug is being tested on mice. Different mice were given different dosages of the drug and, among other things, the heartrates of the

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An experimental drug is being tested on mice. Different mice were given different dosages of the drug and, among other things, the heartrates of the mice were measured an hour after the drug was ingested. For a random sample of 79 mice, the sample correlation coefficient relating the dosage and heartrate was - 0.15. Based on this information, test whether there is a significant linear relationship between the drug dosage and the heartrate of a mouse and hour after drug ingestion by doing a hypothesis test regarding the population correlation coefficient P. (Assume that the two variables have a bivariate normal distribution.) Use the 0.10 level of significance, and perform a two-tailed test. Then complete the parts below. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H. B P Ho :D x H O (b) Determine the type of test statistic to use. Degrees of freedom: 020 0-0 030 (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) X 5 (e) Based on the data, can we conclude (using the 0.10 level) that there is a significant linear relationship between drug dosage and the heartrate of a mouse and hour after drug ingestion? Yes No

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