A random sample of 41 adult coyotes in a region of northern Minnesota showed the average age to bex= 2.07years, with sample standard deviations= 0.84years. 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)

State the null and alternate hypotheses.

H₀:= 1.75 yr;H₁:> 1.75 yr

H₀:= 1.75 yr;H₁:1.75 yr

H₀:> 1.75 yr;H₁:= 1.75 yr

H₀:= 1.75 yr;H₁:< 1.75 yr

(b) What is the value of the sample test statistic?

(c) Estimate theP-value.

(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level?

We fail to reject the null hypothesis because the p-value is less than= 0.01.

We reject the null hypothesis because the p-value is less than= 0.01.

We reject the null hypothesis because the p-value is greater than= 0.01.

We fail to reject the null hypothesis because the p-value is greater than= 0.01.

(e) Interpret your conclusion in the context of the application.

There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to livemore than1.75 years.

There is sufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to liveless than1.75 years.

There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to liveless than1.75 years.

There is insufficient evidence at the 0.01 level to conclude that coyotes in the specified region tend to livemore than1.75 years.