Question

The following table shows the weights (in pounds) and the number of hours slept in a day by a random sample of infants. Test the daim that M+0. Use a=0.1. Then interpret the results in the context of the problem. If convenient, use technology to solve the problem Click the icon to view more information about hypothesis testing for slope. Weight, 8.1 10.1 9.9 7.2 6.9 112 10.9 15.1 Hours slepty 14.7 14.5 14.1 14.1 13.8 13.1 13.9 12.5 entity the nun ana arternative nypotheses 4 A. Ho M=0 HAM#0 C. Ho: M70 HA MO OB. Ho: M20 HA MO OD. Ho: M50 HAMO Calculate the test statistic t= -2.803 (Round to three decimal places as needed.)

Answer 1

us HA: Mto 78.4 8 8. Appropriate hypothesis ane! Hoi M=0 from data, we find n=8, x = En 9.925, ý = 110.7 = 13,837, Ex² = 98.506, Ey² - 191, 463 & Eny - 2002.5t 2²-(Exyanğă) (Exnx) (Ey? ný [2002.51-8(9.925) 613.837) 12 (98,106 - 8.09.9253) (191.463-8 (13.837))) 2 n-2- 8² -0.88 test statistic, t = on az Jiz 5. 88 (J8-2) 4.838 JI- .882 t-critical value is 2, 247 at a=.05, df= 8-2 = 6 from t-table for 2-tail, since t-critical value is less than the test statistic, so we should reput Ho. conclude that there is enough evidence to subbort the claim that Mto. ie to, 025, 6