Faced with rising fax
costs, a firm issued a guideline that transmissions of 9 pages or
more should be sent by 2-day mail instead. Exceptions are allowed,
but they want the average to be 9 or below. The firm examined 25
randomly chosen fax transmissions during the next year, yielding a
sample mean of 10.84 with a standard deviation of 3.07 pages.
(a-1) Find the test statistic. (Round your answer
to 4 decimal places.)
What is the test statistic?
(a-2) At the .01 level of significance, is the
true mean greater than 9?
Yes
No
(b) Use Excel to find the right-tail p-value.
(Round your answer to 4 decimal places.)
What is the p-value?
ANSWER:
H0: 9
Ha: < 9
a)
Test statistics
t = ( - ) / ( S / sqrt(n) )
= ( 10.84 - 9) / ( 3.07 / sqrt(25))
= 2.9967
b)
df = n - 1 = 25 - 1 = 24
From T table,
t critical value at 0.05 level with 24 df = 1.711
Since t > 1.711 , Reject H0. Yes
c)
P(t > 2.9967) = T.DIST.RT ( x , deg_freedom) [ Using EXCEL ]
= T.DIST.RT ( 2.9967 , 24)
= 0.0031
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