Complete parts (a) through (c) below (a Deter ne the critical value(s) for a rig

Question

Complete parts (a) through (c) below (a Deter ne the critical value(s) for a right tailed test of a population mean at the 0.05 level of significance with 15 degrees of freedom. (b) Determine the critical value(s) for a left-tailed test of a population mean at the a 0.01 level of significance based on a sample size of n 20 (c) Determine the critical value(s) for a two-tailed test of a population mean at the = 0.05 level of significance based on a sample size of n 12. Click here to view the t-Distribution Area in Right Tail. (a) tort.Y(Round to three decimal places as needed.) (b) tot =| D(Round to three decimal places as needed.) (c) tarit=[TDRoundto three decimal places as needed.)

Explanation / Answer

a) For 0.05 level of significance and 15 degrees of freedom, we get from the t-distribution tables that:

P( t15 > 1.753 ) = 0.05

therefore 1.753 is the critical value here.

b) For n-1 = 19 degrees of freedom, we get from the t-distribution tables that:

P( t19 < -2.539 ) = 0.01

Therefore -2.539 is the critical value here.

c) For n-1 = 11 degrees of freedom, we get from the t-distribution tables that:

P( t11 < 2.201 ) = 0.975

Therefore, due to symmetry, we get:

P( -2.201 < t11 < 2.201 ) = 0.95

Therefore the critical values here are -2.201, 2.201

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.