3 . (1)Determine the values of the following quantities: a. b. . , . , (2) Deter

Question

3. (1)Determine the values of the following quantities: a. b.

. , . ,

(2) Determine the t critical value(s) that will capture the desired t-curve area in each of the following cases:
a. Upper-tail area = .01, df _=25
b. Lower-tail area =.025, df = 5

(3) Determine the t critical value for a two-sided confidence interval in each of the following situations:

a. Confidence level = 95%, df = 10 b. Confidence level = 99%, n = 5

3. (1)Determine the values of the following quantities: a. to.1.15 a. to115 b. toos2s (2) Determine the t critical value(s) that will capture the desired t-curve area in each of the following cases: a. Upper-tail area = .01, df-.-25 b. Lower-tail area =.025, df= 5 (3) Determine the t critical value for a two-sided confidence interval in each of the following situations: a. Confidence level = 95%, df= 10 b. Confidence level = 99%, n = 5

Explanation / Answer

answer:

3.1.a) t0.1,15 (alpha = 0.1 , dof = 15)

for one tail: 1.341

for two tails: 1.753

b) t0.05,25 : 1 tail = 1.708 and 2 tails = 2.060

3.2.a) t-value (Upper-tail area = .01, df =25) = 2.485

b) t_value(Lower-tail area =.025, df = 5) = 3.365

3.3.a) t critical value(two-sided, Confidence level = 95%, df = 10) = 2.228

3.3.b) t critical value (two-sided,Confidence level = 99%, n = 5(df = 4)) = 4.604

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