a) State the null and alternative hypothesis and explain how you develop these two hypotheses.
Step 1: State the null and alternative hypotheses:
The null hypothesis states that the mean daily email usage of managers is equal or significantly higher than the executives.
Alternative hypothesis states that the mean daily email usage of managers is significantly lower than the executives.
H
0:
µ
M
≥ µ
E
H
1:
µ
M
< µ
E
Where:
µ
M
refers to the managers
µ
E
refers to the executives
The question was asking if mean daily usage of managers is lower than the executives (H
1
). H
1
states a direction. Hence, it is a onetail test.
H
0
will be the one which we are testing for to determine if we should reject.
b) Perform an appropriate hypothesis test with
α
= 0.05 using critical value approach.
Step 2: Select the level of significance:
Level of significance is 0.05 (as provided in question). This is the probability that we reject the null hypothesis when in fact it is true.
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 Spring '11
 M
 Physics, Normal Distribution, Null hypothesis, Statistical hypothesis testing, mean daily email, daily email usage

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