Question

All the exercises, pls.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question Assume that you want to test the claim that the paired sample data come from a population for which the mean difference is d - 0. Compute the value of the t test statistic. Round intermediate calculations to four decimal places as needed and final answers to three decimal places as needed. 11 X 9 6 7 5 12 y 6 8 3 6 7 Alt 1.292 B) t = 0.415 C) t = 2.890 D) - 0.578 2) The following table shows the weights of nine subjects before and after following a particular diet for two months. You wish to test the claim that the diet is effective in helping people lose weight. What is the value of the appropriate test statistic? Subject A B C D E F G H I Before 168 180 157 132 202 124 190 210 171 After 162 178 145 125 171 126 180 195 163 A) 9.468 B) 3.156 C) 0.351 D) 1.052 to the nearest tenth. The two data sets are dependent. Find 3) X 10.9 11.3 11.7 12.9 13.5 Y 11.0 12.6 124 10.7 11.2 A) 0.7 B) 0.6 C) 0.5 D) 0.3 Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test; i.e., describe the values of the test statistic that would result in rejection of the null hypothesis. 4) A farmer has decided to use a new additive to grow his crops. He divided his farm into 10 plots and kept records of the corn yield (in bushels) before and after using the additive. The results are shown below. Plot: 1 2 3 4 5 6 7 8 9 10 Before 9 9 8 7 6 8 5 9 10 11 After 10 9 9 8 7 10 6 10 10 12 You wish to test the following hypothesis at the 10 percent level of significance. HOW - O against H1: Wd 0. What decision rule would you use? A) Reject Hoif test statistic is less than - 1.833 or greater than 1.833. B) Reject Hoif test statistic is greater than 1.833 C) Reject Hoif test statistic is greater than - 1.833 or less than 1.833 D) Reject Hoif test statistic is less than - 1.833 Construct a confidence interval for wd, the mean of the differences d for the population of paired data. Assume that the population of paired differences is normally distributed 5) If d - 3.125. Sd - 2.911. and n-8. determine a 95 percent confidence interval for d. A) 0.691 < d <3.986 B) 2.264 < g < 3.986 C ) 0.691 < d < 5.559 D ) 2.264 < d < 5.559

Answer 1

-o) Ho the 1 for testing let us construct a new variable viz- D²X-7 then, orat (ex-my , ou +8y-2 pondy) then, Hey, Ma-My = ud. tha Hopi udao , # . Test statistic :- Tarn (1-0) Ho Now, xi xi Di D = 1.8 SD = 3.1145 + 3 4 5 6 - where, 5= 1 & Di 12 7 5 88 = 1 (Di-D) √5 (18) Ti= = 1.292317 ~ 1.292 A Now, ale Alm N sido n-1 12 3.1145

- 4) Ho: Mdao Hi Md to se co-o) Ho Ta i Test statistic - 22 tn-ja tq SD Rejection Region - observed T4 let 1:8 3 3 . ,9 = 1 . Reject Ho if than ~1.833 or test greater statistic is less than 1.833, I sa 5) Now, Preto in (d - od <top ; 2-1] = 1-2. =0.95 spf-tol, yna < Uncata) e toly 3] =1-. sd

> P[a - Sd to 025; 7 < d < 2 + 3d to 025;7] 20.95 a confidence interval -(0.691, 5.559 ) to. 02597= 2.365 c) 0.691 cud < 5.559