You receive a brochure from a large university. The brochure indicates that the

Question

You receive a brochure from a large university. The brochure indicates that the mean class size for lI-time faculty is fewer than 32 students. You want to test this claim. You randomly select 18 cdasses taught by full-time faculty and determine the class size of each. The results are shown in the table belo At = 0.10, sup population is nomally distributed can you support the university's claim? Complete parts (a) through (d) below. Assume the 25 32 27 27 26 25 31 26 32 27 37 34 36 42 25 30 26 Ho: > 32 Ha : s 32 31 Hope32 Ha :

Explanation / Answer

SolutionA:

Ho:mu=32

Ha:mu<32

OPTION E

Solutionb:

p=0.954

Solutionc:

p=0.954

alpha=0.10

p>alpha

Fail to reject Ho as p greater than alpha

OPTION B

Solution:

At 10% level of significance ,there is no sufficient evidence to support the claim that the mean is fewer than 32.

OPTIOND

Rcode:

brochure <- c(32,25,27,34,30,42,27,26,31,26,32,37,36,31,25,27,25,26)
t.test(brochure,mu=32,alternative = "greater",conf.level=0.90)

output:

One Sample t-test

data: brochure
t = -1.7869, df = 17, p-value = 0.9541
alternative hypothesis: true mean is greater than 32
90 percent confidence interval:
28.41057 Inf
sample estimates:
mean of x
29.94444

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.