Question

The average American consumes 90 liters of alcohol per year. Does the average college student consume more alcohol per year? A researcher surveyed 15 randomly selected college students and found that they averaged 98.8 liters of alcohol consumed per year with a standard deviation of 18 liters. What can be concluded at the the αα = 0.01 level of significance?

1. For this study, we should use Select an answer z-test for a population mean t-test for a population mean  
2. The null and alternative hypotheses would be:

H0:H0:  ? μ p   Select an answer < ≤ ≥ = > ≠        

H1:H1:  ? μ p   Select an answer ≥ ≠ < ≤ > =     

3. The test statistic ? z t   =  (please show your answer to 3 decimal places.)
4. The p-value =  (Please show your answer to 4 decimal places.)
5. The p-value is ? ≤ >   αα
6. Based on this, we should Select an answer reject fail to reject accept   the null hypothesis.
7. Thus, the final conclusion is that ...
   • The data suggest that the population mean amount of alcohol consumed by college students is not significantly more than 90 liters per year at αα = 0.01, so there is not enough evidence to conclude that the population mean amount of alcohol consumed by college students is more than 90 liters per year.
   • The data suggest the population mean is not significantly more than 90 at αα = 0.01, so there is not enough evidence to conclude that the population mean amount of alcohol consumed by college students is equal to 90 liters per year.
   • The data suggest the populaton mean is significantly more than 90 at αα = 0.01, so there is enough evidence to conclude that the population mean amount of alcohol consumed by college students is more than 90 liters per year.

Can you please help me with B) & G) please. Thank you!!

Answer 1

Ans:

a)t-test for a population mean  

b)

c)

Test statistic:

t=(98.8-90)/(18/SQRT(15))

t=1.893

d)df=15-1=14

p-value=tdist(1.893.14,1)=0.0396

d)alpha=0.01

p-value>alpha

e)fail to reject the null hypothesis.

f)

The data suggest that the population mean amount of alcohol consumed by college students is not significantly more than 90 liters per year at αα = 0.01, so there is not enough evidence to conclude that the population mean amount of alcohol consumed by college students is more than 90 liters per year.