Question

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 ? found in the one-tail area row. For a left-tailedtest, the column header is the value of ? 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 ? from the two-tail area row. The critical values are the ±t values shown.

A random sample of 46 adult coyotes in a region of northern Minnesota showed the average age to be x = 2.15 years, with sample standard deviation s = 0.83 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. 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.Fail to 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.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?

The conclusions obtained by using both methods are the same.We reject the null hypothesis using the traditional method, but fail to reject using the P-value method.     We reject the null hypothesis using the P-value method, but fail to reject using the traditional method.

Homework Answers

Answer #1

X?= 2.15

n= 46

s= 0.83

df= 46-1=45

H0: u= 1.75

H1: u> 1.75 right tail test

alpha= 0.01 critical value tc=2.4121

Test Statictics

T= (X?-u)*sqrt(n)/s

=(2.15-1.75)*sqrt(46)/0.83

=3.2686

P-value=0.001037433

rounded p-value=0.001

Decision making

P-value ? Alpha...... Reject H0

0.001 <0.01

OR

Decision making

tc < t-test

2.4121 < 3.2686 ..........Reject H0

there is enough evidence to support the claim that the average age of Minnesota coyotes is higher than 1.75 years.

We reject the null hypothesis by both p-value method and traditional method.

..................

if you have any doubt ask in comment give thumbs up if you like wotk.  

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
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...
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...
11) The Student's t distribution table gives critical values for the Student's t distribution. Use an...
11) 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...
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 arearow. 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...