Question

You receive a brochure from a large university. The brochure indicates that the mean class size for​ full-time faculty is fewer than

3333

students. You want to test this claim. You randomly select

1818

classes taught by​ full-time faculty and determine the class size of each. The results are shown in the table below. At

alphaαequals=0.100.10​,

can you support the​ university's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed.

3737	3030	2828	3535	3535	3838	2828	2525	2828
3030	3030	3939	3636	2626	2424	3333	3131	2525

​(a) Write the claim mathematically and identify

Upper H 0H0

and

Upper H Subscript aHa.

Which of the following correctly states

Upper H 0H0

and

Upper H Subscript aHa​?

A.

Upper H 0H0​:

muμequals=3333

Upper H Subscript aHa​:

muμless than<3333

B.

Upper H 0H0​:

muμequals=3333

Upper H Subscript aHa​:

muμnot equals≠3333

C.

Upper H 0H0​:

muμless than<3333

Upper H Subscript aHa​:

muμgreater than or equals≥3333

D.

Upper H 0H0​:

muμgreater than or equals≥3333

Upper H Subscript aHa​:

muμless than<3333

Your answer is correct.

E.

Upper H 0H0​:

muμless than or equals≤3333

Upper H Subscript aHa​:

muμgreater than>3333

F.

Upper H 0H0​:

muμgreater than>3333

Upper H Subscript aHa​:

muμless than or equals≤3333

​(b) Use technology to find the​ P-value.

Pequals=nothing

​(Round to three decimal places as​ needed.)

Answer 1

Given: The brochure indicates that the mean class size for​ full-time faculty is fewer than 33

a) Claim:   < 33

Here claim contain < sign hence it will be our alternate hypothesis.

And we know that null hypothesis always opposite of an alternate hypothesis.

Hence we get hypothesis as -

D. H0: 33 vs H1: < 33

Hope this will help you. Thank you :)