# (Solved): A professional employee in a large corporation receives an average of \mu =41.7 e-mails per day. An ...

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.

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