A random sample of 51 adult coyotes in a region of northern

A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.01 years, with sample standard deviation s = 0.76 years. However, it is thought that the overall population mean age of coyotes is = 1.75. Do the sample data indicate that coyotes in this region of northern Minnesota tend to live longer than the average of 1.75 years? Use = 0.01.

(a) What is the level of significance? _________________

b) What is the value of the sample test statistic?___________________ (Round your answer to three decimal places.)

(c) Find the P-value._______________ (Round your answer to four decimal places.)

Solution

a)

significance level will be alpha = 0.01

b)

T = 2.021-1.75 / [0.76 / srqt(51) ]

T = 2.546

c)

p value : using technologies

p value is : 0.0070