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Consider the e-billing case. The mean and the standard deviation of the sample of n =...

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.

Math   Statistics-And-Probability   
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Answer #1

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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