Question

Current Attempt in Progress A random sample of 16 observations taken from a population that is normally distributed produced a sample mean of 42.4 and a standard deviation of 8. Find the range for the p-value and the critical and observed values of t for each of the following tests of hypotheses using, a -0.01. Use the t distribution table to find a range for the p-value. Round your answers for the values of t to three decimal places. a.HO: y = 46 versus H 1: p < 46. <p-value tcritical = i tobserved b. H0: H = 46 versus H1: H+ 46. <p-value i tcritical left = i fcritical right = i tobserved

Answer 1

DATE:30-07-2020

ANSWER:---------

Hooll- 46. Hypothesis H: 146 a). Based on the it will be a two trailed test, so at oool significance level, the critical values of to crit are calculated using Excell formula = T.1Nv.ar (0.01,15) in Excell at degree of freedom = n-1 = 16-1 -> 15 The critical values can be computed using the T-table. So the critical values are. - 2.947.8 +2.947. Rejection Region : Reject to if Itlt-critical. CS Scannad with camecane

6). The test statistic is calculated as t - X-Mo sin - 42.4-46 81516. 42.4-46 Elu 42.4-46 2. -3.6/2 = -1.8. Searned with can can

degree of freedom by using a P-value. Based on the t-score calculated abovex the P-value is calculated Excell formula - To DIST (-1.8, 15) P-value=0.046001 This 0.046CD-value 2011 d). Conclusion: since p-value >0.01 so we do not reject the null Hly pothelirz & conclude that there is Insufficient evidence to support the clain. CS Scanned with Camscanner