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RES 342 Week 2 E-Text Assignments

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9.54) Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or
more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to
be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year,
yielding a sample mean of 14.44 with a standard deviation of 4.45 pages.
5a) At the .01 level of significance, is the true mean greater than 10?
(b) Use Excel to find the right-tail p-value.
H0 mu =10
H1: mu>10
Value for one tail-test with a=0.01 and the value for df is 2.3263
Test statistic
T= (14.44) = (14.44-10) / [4.45/( sqrt35)] = 5.903
The p-value = P( Z> Z)
=P (Z> 5.903)
=1.787077e-09
Since the p-value is less than the significance level we reject the null hypothesis and conclude
the alternate hypothesis μ > 10 is true
9.56) A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of
significance, is the coin biased toward heads? Show your decision rule and calculations. (b)
Calculate a p-value and interpret it.
H0: p= 1/2
Ha: p > 1/2
Let's compute the test statistic:
z = (phat - p)/sqrt(p*(1-p)/N)
Plug in our values:
phat = 38/60
p = 0.5
N = 60 samples
z = (38/60 - 0.5)/sqrt(0.5*(1-0.5)/60)
z = 2.06559

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