Question

PRINTER VERSION RCES Reserva Problems Chapter 10 Section 4 Problem 2 The table contain the rest of a wudents' test before the course and after its completion Student Number Score before I score after 63 22 2 45 60 ans 3 32 59 4 76 80 55 87 5 66 78 7 67 57 63 my Study BO 96 10 72 11 51 68 (a) Use the paired test to investigate the increase in scores owing to the course completion. Tout the null hypothesis against W: <0 using a 0.1. The parameter of interest is the difference in mean weight, whered weight before weight after Hop = 0 H: <0 Round your answer to three decimal places (e... 98.765). Reject the null hypothesis is to Find the test statictic Round your answer to two decimal places (6.9. 98.76). TO (b) Calculate a one-sided contence imit that can be used to answer the question in partca). Round your answer to two decimal places (eg. 98.76) Has MacBook

Answer 1

Reject the null hypothesis if t_o < - 1.372 (by using students t table at 0.1 level of significance and for (n-1)=10 degree of freedom)

Paired t-test for Difference of Means. Test Statistic is given by : to a sin lal where d tedi (where di-ui-yi) is² it Ecdi-D)2 follows student's to distribution with (n-1) freedom. degrees of Sopron CALCULATIONS SHOO!)

A B E F D di 1 xi yi (di - d) 6.09 2 63 72 -9 3 45 60 -15 -27 0.09 -11.91 4 32 59 5 76 80 -4 11.09 6 55 87 -32 -16.91 (di - d)? 37.10 0.01 141.83 123.01 285.92 9.551 24.10 82.64 0.83 50.28 3.64 7 66 78 -12 8 47 67 -20 3.09 -4.91 9.09 -0.91 63 -6 9 10 57 80 96 -16 11 64 72 -8 7.09 51 68 -17 -1.91 12 13 SUM: - 166 758.91

75.891 s²= 01 758.91 s²= 1-11 yadri wana S² (758.91 jog įs e-03 T NON ZSS MON (met bob@. Sie Bobce HON LAS TER Garry 99117 For ONESE Samosto = !P3T P Rou

s = 175.891 S- 8.711 Now value in putting test statistic, t to s lal sin tos -15.0909 8.711 IST to = -15.0909 8.711 3.317 to= -15-0909 2.627 tos -5.75 limit is given by (6) confidence Now sided one at taint In When tabulated t-value at toine is and n-1 = 1 degree of level of significa cance 1:37 freedom which is uglues puiting 15.04 + 1:37. 8.71 15.09 + 1-37 (2.63)

15.09+ 3.60 18.69 There fore Md < 18.69