Question

2. At the 99% confidence level, for a sample of size n=30, i). Use table in page 1, write the density function for Student's 1 distribution with degree of freedom n - 1. ii). Set up the integral to find the critical value, ta n-1 Solution: iii) find the cumulative probability P(T<ta n-1)= iv) Using the online calculator(https://stattrek.com/online-calculator/t- distribution.aspx) to find the critical value, ta n-1 =

Answer 1

2. Given, X= 001, n = 30 ① The density function of t, 1 . ter f) PC3%) (4) D

8 = P(T<t) - s f(l) dt اا اار Thriß ( 21 ) Griven, x = 0.01, n= 3 ö. then done is calculated by the given inkleral equation, 0.005 - sdt.

1 PCT < for m-1) - P(T< to 2005,29) = 0.005 (1 dann = 6005,29 = -2.756

Browse Site T Distribution Calculator The t distribution calculator makes it easy to compute cumulative probabilities, based on t statistics; or to computet statistics, based on cumulative probabilities. For help in using the calculator, read the Frequently Asked Questions or review the Sample Problems. Tutorials AP Statistics Probability Linear regression To learn more about Student's t distribution, go to Star Trek's tutorial on the t distribution. ANOVA In the dropdown box, describe the random variable. Survey Sampling Matrix Algebra • Enter a value for degrees of freedom. Enter a value for all but one of the remaining text boxes. AP Statistics Click the Calculate button to compute a value for the blank text box. Random variable t score Test Preparation Practice Exam Study Guide Review Approved Calculators AP Statistics Formulas FAQ: AP Statistics Degrees of freedom 29 t score -2.756 Probability: P(T <t) 0.005 Stat Tables Binomial Chi-Square Calculate