Answer to Question #336699 in Statistics and Probability for joan

Question

Solve for the t-computed value of the following. Write your answer to the nearest

hundredths. Show the complete solution.

1. $\chi$ =15 $\mu$ = 12 s = 4 n = 12
2. $\chi$ = 7.8 $\mu$ = 10 s = 5.1 n = 10
3. $\chi$ = 5 $\mu$ = 5.3 s = 0.14 n = 8
4. $\chi$ = 7.2 $\mu$ = 9.1 s = 1.8 n = 15
5. $\chi$ = 5 $\mu$ = 7 s = 3 n = 10

Answer 1

1.

$$t=\dfrac{x-\mu}{s/\sqrt{n}}=\dfrac{15-12}{4/\sqrt{12}}\approx2.60$$

2.

$$t=\dfrac{x-\mu}{s/\sqrt{n}}=\dfrac{7.8-10}{5.1/\sqrt{10}}\approx-1.36$$

3.

$$t=\dfrac{x-\mu}{s/\sqrt{n}}=\dfrac{5-5.3}{0.14/\sqrt{8}}\approx-6.06$$

4.

$$t=\dfrac{x-\mu}{s/\sqrt{n}}=\dfrac{7.2-9.1}{1.8/\sqrt{15}}\approx-4.09$$

5.

$$t=\dfrac{x-\mu}{s/\sqrt{n}}=\dfrac{5-7}{3/\sqrt{10}}\approx-2.11$$