Q5. A recent article in a computermagazine suggested that the mean time to fully
ID: 2952101 • Letter: Q
Question
Q5. A recent article in a computermagazine suggested that the mean time to fully learn a new softwareprogram is 40 hours. A sample of 100 first-time users of a newstatistics program revealed the mean time to learn it was 39 hourswith the standard deviation of 8 hours. At the 0.05 significancelevel, can we conclude that users learn the package in less than amean of 40 hours?
a. State the null and alternatehypotheses.
H0:____________________________________________________________________
H1:____________________________________________________________________
b. State the valueof alpha. _______________
c. State thetest statistic that you will use and why. _______________
d. State thedecision rule. _______________
e. Compute theobserved value of the test statistic and state your conclusion.
Explanation / Answer
=40
n=100, X-bar=39,S=8
=0.05
a. State the null and alternate hypotheses.
H0: _>=40___________________________________________________________________
H1: _<40___________________________________________________________________
b. State the valueof alpha. _=0.05______________
c. State thetest statistic that you will use and why. _
Z=(X-bar-)/(S/n)=(39-40)/(8/100)=-1.25______________
d. State thedecision rule. Z<Z0.05=-1.645_______________
e. Compute theobserved value of the test statistic and state yourconclusion.
Since Z=-1.25>-1.645, do not rejectHo.
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