SOLUTION: The average amount of time a person exercises daily is 22.7 minutes in a population. A random sample of 20 people showed an average of 29.8 minutes in time with a standard deviatio
Algebra ->
Probability-and-statistics
-> SOLUTION: The average amount of time a person exercises daily is 22.7 minutes in a population. A random sample of 20 people showed an average of 29.8 minutes in time with a standard deviatio
Log On
Question 1181977: The average amount of time a person exercises daily is 22.7 minutes in a population. A random sample of 20 people showed an average of 29.8 minutes in time with a standard deviation of 9.8 minute. At a = 0.01, can it be concluded that the average differs from the population average? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! Ho: mean is 22.7 min
Ha: mean is not 22.7 min
alpha=0.01 p{reject Ho|Ho true}
test is a t(0.995, df=19)
critical value |t| >2.861
calculation is t=(29.8-22.7)/9.8/sqrt(20). basically difference in means divided by the standard error.
=7.1*sqrt(20)/9.8
=3.24
Reject the null hypothesis and conclude that the true value is more than 22.7 minutes
p-value=0.0086
