A professional employee in a large corporation receives an average of
\mu =41.7
e-mails per day. An anti-spam protection program was installed in the company's server and one month later a random sample of 45 employees showed that they were receiving an average of
\bar{x} =
36.2 e-mails per day. Assume that
\sigma =18.45
. Use a
5%
level of significance to test whether there has been a change (either way) in the average number of emails received per day per employee. a.) What is
a
? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test?
\alpha =
◻
H_(0):\mu =
◻
H_(1):\mu
◻
The test is a
◻
Select an answer test b.) Identify the Sampling Distribution you will use. What is the value of the test statistic? The best sampling distribution to use is the
◻
distribution. The test statistic (
z
or
t
value) is
=
◻
c.) Find or estimate the
P
-value for the test. The
p
-value is
=
◻
d.) Conclude the test. Based on this we will Select an answer the null hypothesis.