Please refer to the given lesson (sketch the normal curve also) 2. a. If the shaded area on the left-hand tail of t- distribution with sample of size n = 28 is 0.01, what isthe area to the left of t₁?b. What is the value of t₁?c. What does t₁ represents?IV. Evaluation: PERCENTILES USING THE T - TABLEI. Objective:At the end of this Learning Activity Sheet, the learner should be able to identify percentiles using thet-table.II. Learning Activity:When you want to find percentiles for a t-distribution, you can use the t - table. A percentile is anumber on a statistical distribution whose less than probability is the given percentage. Let us have a look atthese examples.Example # 1The graph of the distribution with df = 15 isshown belowSolution:a. If the shaded area on the right is 0.05, what is thearea to the left of t₁?a. (1 a)100% = p(10.05)100 = pb. What does t₁ represents?0.95(100%) pc. Find the value of t₁.P = 95%p = 0.95 area to the left of t₁b. Hence, t₁ represents the 95th percentile to.95c. To find the value t₁, look at 15 under the columnheaded df. Proceed to the right until thecolumn headed 0.05 for one - tail is reached.The result is 1.753t₁ = 1.753 represents the 95th percentile to.95-t₁t₁Example # 2The graph of the distribution with sample ofsize n 19 is shown belowSolution:a. If the shaded area of the curve is 0.02, what is thearea to the left of t₁?a.(1 a)100% = p0.02b. What does t₁ represents?100% P2c. What is the value of t₁?1-0.01 = pp = 0.99 area to the left of t₁b. Hence, t₁ represents the 99th percentile to.99c. To find the value t₁, Find the degrees of freedomdf = n1, then df = 18. Look at the firstcolumn headed df until df = 18, then move tothe right until the column headed 0.01 for one -tail is reached or 0.02 for two-tails. The resultis 2.552t₁ = 2.552 represents the 99th percentile t0.995t₁

Question

Accepted Answer

The critical region indicate the region where the test statistic appear they can able to reject the…

2. a. If the shaded area on the left-hand tail of t- distribution with sample of size n = 28 is 0.01, what is the area to the left of t₁? b. What is the value of t₁? c. What does t₁ represents?