Question

2. A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be 2.09 years. with a sample standard deviation of 0.75 years. However, it is thought that the overall population mean age of coyotes is 1.75 years. Does the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use a = 0.01.

Answer 1

Answer Dt: 22/11 To test whether region of northern minnesota tend to live longer than the average of 1.75 years, using il significance level Null hypothesis, to ill=1.75 Alternative hypothesis, th: 471.75 Level a significance, a=0.01 Decision role - Reject Ho if p-value 20.01 The Velvet Sampie test statistic , ã=2.09 To test the hypothesis, define the test statistic as follows: - slun = 2.09 -1.75 0-75151 =13.237 - Degrees of freedom, df = n-1 SI-1 50 For a right-tailed text, compute the P-value as follor. P- Value = P(tso >2.09) STDIST(2.09, 50, 1) -0.0209 & the test is [0.0209 Therefore, the p-valce Scanned with CamScanner

Decision? If ls observed that the P-value of test (0.0209) is greather than the given level of significance (0.01), thus do not reject the holl hypothesis at It of significance level. conclusion: There is no enough evidence to conclude that egion of northern Minnesota tend to live longer than the average & 1.75 years. Scanned with CamScanner