Question

A random sample of size n = 13 obtained from a population that is normally distributed results in a sample mean of 45.2 and sample standard deviation 12.6. An independent sample of size n=17 obtained from a population that is normally distributed results in a sample mean of 51.1 and sample standard deviation 14.9. Does this constitute sufficient evidence to conclude that the population means differ at the a= 0.10 level of significance? Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). Click here to view the table of critical t-values. Click here to view the chi-square critical values table. The given situation is about a Write the hypotheses for the test. er Ho Hai nullhi Calculate the test statistic estate b (Round to two decimal places as needed.) There is s Identify the critical region. Select the correct choice below and fill in all answer boxes within your choice. (Type an integer or decimal rounded to two decimal places as needed.) OA test statistic OB tot statistica of tot statistic Click to select your antwer(). hilar questi 30 I $ RO 8

Answer 1

let the given datel al, ni-13 n2 = 17 X,= 45.2 1 X2= 51.1 Si= 12.6 S2= 4.9 level of significance 20.10 The given situath is about the t-rest Testing null alternative hypothesis. Hoi el, = 42 Vs Hiiu & M2 The rest statistic is, t- X-X2 S2 +

4- 45.2-51.) (12,62 (1492 + 13 17 -5.9 5,02709 test statistic t=-1.17 It = 1,17 The critical value at £20.10 f do z nitna-22 Bt17-2=28 il critical t=1.70 test statistic < critical t Conclusions fail to reject the null hypothesis & condude there is not sufficient évidence that the parameter of interest of popn 1 is differs from the parameter of interest of popular 2 at the Q20,10 level of significance