Question

The average American consumes 95 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 11 randomly selected college students and found that they averaged 108.5 liters of alcohol consumed per year with a standard deviation of 18 liters. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: H: Hvv 95 95 H: ५ ५ ५ c. The test statistic tv = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.)

only C. and D.

Answer 1

Given :

Sample size = n = 11

Sample mean = ${\bar{x}}$ = 108.5

Standard deviation = s = 18

Population mean = $\mu$ = 95

Test statistic :

108.5-95 – 2.487 t = t-i-el sis 1814 2.487 Degree of freedom: dton-1=11-1=10 -P-value in por value corresponding to t= 2.487 with p-value = P(Z >2.487) - 0.0161 (from t-tables P-value = 0.0161 Z Q = 36886, n=44,5=12920, Il=40100 t-X-Il 36886-40100 -al: 650 Siso 129201544 t-1-1.650 Degree of freedom: df=n-1=46-1=43 P-value = 2 pct<-1-650) E2X0,0531 - 0.1062 P-value 0.1062

138.13 3 for the given data Q = 2034.27 in all, as = 138.13, 4 = 1890 Test stadistici t = X- 2034.27-1890 3.464 sin t = 13.464 Degree freedom dt= n-i=11-1=10 p-value = Pct> 3.464) -0.0030

P-value = 0.0030