You receive a brochure from a large university. The brochure indicates that the mean class size for​ full-time faculty is fewer than 33 students. You want to test this claim. You randomly select 18 classes taught by​ full-time faculty and determine the class size of each. The results are shown in the table below. At α=0.05​, can you support the​ university's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed.   36 25 27 31 34 42 29 22 31     27 30 33 33 32 29 29 31 22           Question content area bottom Part 1 ​(a) Write the claim mathematically and identify H0 and Ha.   Which of the following correctly states H0 and Ha​?     A. H0​: μ≥33 Ha​: μ<33 Your answer is correct.   B. H0​: μ>33 Ha​: μ≤33   C. H0​: μ=33 Ha​: μ≠33   D. H0​: μ=33 Ha​: μ<33   E. H0​: μ<33 Ha​: μ≥33   F. H0​: μ≤33 Ha​: μ>33 Part 2 ​(b) Use technology to find the​ P-value.   P=enter your response here ​(Round to three decimal places as​ needed.)

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You receive a brochure from a large university. The brochure indicates that the mean class size for​ full-time faculty is fewer than
33
students. You want to test this claim. You randomly select
18
classes taught by​ full-time faculty and determine the class size of each. The results are shown in the table below. At
α=0.05​,
can you support the​ university's claim? Complete parts​ (a) through​ (d) below. Assume the population is normally distributed.
 
36
25
27
31
34
42
29
22
31
 
 
27
30
33
33
32
29
29
31
22
 
 
 
 
 

Question content area bottom

Part 1
​(a) Write the claim mathematically and identify
H0
and
Ha.
 
Which of the following correctly states
H0
and
Ha​?
 
 
A.
H0​:
μ≥33
Ha​:
μ<33
Your answer is correct.
 
B.
H0​:
μ>33
Ha​:
μ≤33
 
C.
H0​:
μ=33
Ha​:
μ≠33
 
D.
H0​:
μ=33
Ha​:
μ<33
 
E.
H0​:
μ<33
Ha​:
μ≥33
 
F.
H0​:
μ≤33
Ha​:
μ>33
Part 2
​(b) Use technology to find the​ P-value.
 
P=enter your response here
​(Round to three decimal places as​ needed.)
 
 

 

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