Question

In: Statistics and Probability

The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...

The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value of α from the two-tail area row. The critical values are the ±t values shown.

A random sample of 51 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.07 years, with sample standard deviation s = 0.75 years. However, it is thought that the overall population mean age of coyotes is μ = 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 α = 0.01. Solve the problem using the critical region method of testing (i.e., traditional method). (Round your answers to three decimal places.)

test statistic =   
critical value =


State your conclusion in the context of the application.

_Reject the null hypothesis, there is insufficient evidence that the average age of Minnesota coyotes is higher than 1.75 years.

_Reject the null hypothesis, there is sufficient evidence that the average age of Minnesota coyotes is higher than 1.75 years.    

_Fail to reject the null hypothesis, there is insufficient evidence that the average age of Minnesota coyotes is higher than 1.75 years.

_Fail to reject the null hypothesis, there is sufficient evidence that the average age of Minnesota coyotes is higher than 1.75 years.


Compare your conclusion with the conclusion obtained by using the P-value method. Are they the same?

_We reject the null hypothesis using the traditional method, but fail to reject using the P-value method.

_The conclusions obtained by using both methods are the same.    

_We reject the null hypothesis using the P-value method, but fail to reject using the traditional method.

Solutions

Expert Solution


Related Solutions

The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of αfound in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value of...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate...
The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the value...
13) The Student's t distribution table gives critical values for the Student's t distribution. Use an...
13) The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the...
12) The Student's t distribution table gives critical values for the Student's t distribution. Use an...
12) The Student's t distribution table gives critical values for the Student's t distribution. Use an appropriate d.f. as the row header. For a right-tailed test, the column header is the value of α found in the one-tail area row. For a left-tailed test, the column header is the value of α found in the one-tail area row, but you must change the sign of the critical value t to −t. For a two-tailed test, the column header is the...
Let t 0 be a specific value of t. Use the table of critical values of...
Let t 0 be a specific value of t. Use the table of critical values of t below to find t 0 dash values such that following statements are true. a. Upper P left parenthesis t greater than or equals t 0 right parenthesisequals​.025, where dfequals11 b. Upper P left parenthesis t greater than or equals t 0 right parenthesisequals​.01, where dfequals18 c. Upper P left parenthesis t less than or equals t 0 right parenthesisequals​.005, where dfequals7 d. Upper...
What happens to a Student's t-distribution as the degrees of freedom increase? a.A student's t-distribution diverges...
What happens to a Student's t-distribution as the degrees of freedom increase? a.A student's t-distribution diverges from the standard normal distribution as the degrees of freedom increases b.A student's t-distribution converges to the standard normal distribution as the degrees of freedom increases
a) Use the Student's t-distribution to find the t-value for each of the given scenarios. Round...
a) Use the Student's t-distribution to find the t-value for each of the given scenarios. Round t-values to four decimal places. Find the value of t such that the area in the right tail of the t-distribution is 0.01, if the sample size is 89. t= Find the value of t such that the area in the left tail of the t-distribution is 0.0005, if the sample size is 134. t= Find the value of t such that the area...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT