Consider the e-billing case. The mean and the standard deviation
of the sample of n = 65 payment times are x⎯⎯x¯ = 18.2779 and s =
3.9045. Test H0: μ = 19.0 versus
Ha: μ < 19.0 by setting α
equal to .01 and using a critical value rule and assume normality
of the population. (Round your "t" and "t0.01"
answers to 3 decimal places and p-value answer to 4
decimal places. Negative value should be indicated by a minus sign.
Use a statistical software package - e.g., Minitab, MegaStat, etc.,
to derive the p-value.)
t | |
t0.01 | |
p-value | |
(Click to select)RejectDo not reject H0 at
0.01.
t test statistic formula is
=-1.491
Sample size =65
Degree of freedom =n-1= 65-1= 64
t critical value =-2.386....................by using t table.
P value = 0.0704.......................by using Excel command =TDIST(ABS(-1.491),64,1)
P value > 0.01
Therefore, we fail to reject H0 at
t | -1.491 |
t0.01 | -2.386 |
P value | 0.0704 |
Do not reject H0 at 0.01
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