You receive a brochure from a large university. The brochure indicates 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 a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 37 26 26 30 30 37 36 35 34 30 39 25 29 28 24 30 310 23
You receive a brochure from a large university. The brochure indicates 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 a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 37 26 26 30 30 37 36 35 34 30 39 25 29 28 24 30 310 23
You receive a brochure from a large university. The brochure indicates 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 a = 0.05, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 37 26 26 30 30 37 36 35 34 30 39 25 29 28 24 30 310 23
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 a = 0.05, can you support the university's
claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
37
26
30
36
34
30
37
35
30
8
29
28
24
30
319
23
26
Transcribed Image Text: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.
37
26
A. Ho: μ>33
H₂: μ≤33
26
30
D. Ho: μ ≥33
Ha: μ<33
30
37
36
35
(a) Write the claim mathematically and identify Ho and Ha
Which of the following correctly states Ho and H₂?
an example Get more help.
34
30
...
(b) Use technology to find the P-value.
P= (Round to three decimal places as needed.)
OB. Ho: μ≤33
Ha: μ>33
O E. Ho: μ = 33
Ha: μ#33
39
25
29
28
24
30
C. Ho: μ = 33
Ha: μ<33
OF. Ho: μ<33
H₂:μ ≥33
Clear all
31
23
Check answer
Pla
ue
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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