Question 1193481: The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.56 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters:
1.88 1.74 1.98 1.70 1.86 1.72 1.74 1.98 1.68 1.50
At the 0.025 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.
Click here for the Excel Data File
a. State the null hypothesis and the alternate hypothesis. (Round your answers to 2 decimal places.)
b. State the decision rule for 0.025 significance level. (Round your answer to 3 decimal places.)
c. Compute the value of the test statistic. (Round your intermediate and final answer to 3 decimal places.)
d. At the 0.025 level, can we conclude that water consumption has increased?
e. Estimate the p-value.
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! Ho: mean <=1.56
Ha: mean > 1.56
alpha=0.025 p{reject Ho|Ho true}
statistic is a t (0.975, df=9)
for a 1 way test, the critical value is t>2.262
mean is 1.778 l and s is 0.148 l
t=(1.56-1.778)/0.148/sqrt(10)
=-0.218*sqrt(10)/0.148
=4.658
reject Ho and the mean has increased.
p-value <0.001, actual is 0.0006
|
|
|
