You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 3232 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=0.010.01, can you support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 3838 3131 2626 3535 3232 4040 2525 2323 2828 2727 3333 3838 3434 2828 2626 3333 2828 2727 (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=3232 Upper H Subscript aHa: muμnot equals≠3232 B. Upper H 0H0: muμless than<3232 Upper H Subscript aHa: muμgreater than or equals≥3232 C. Upper H 0H0: muμless than or equals≤3232 Upper H Subscript aHa: muμgreater than>3232 D. Upper H 0H0: muμgreater than>3232 Upper H Subscript aHa: muμless than or equals≤3232 E. Upper H 0H0: muμequals=3232 Upper H Subscript aHa: muμless than<3232 F. Upper H 0H0: muμgreater than or equals≥3232 Upper H Subscript aHa: muμless than<3232 Your answer is correct. (b) Use technology to find the P-value. Pequals=nothing (Round to three decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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

3232

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=0.010.01,

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

3838	3131	2626	3535	3232	4040	2525	2323	2828
2727	3333	3838	3434	2828	2626	3333	2828	2727

(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?

Upper H 0H0:

muμequals=3232

Upper H Subscript aHa:

muμnot equals≠3232

Upper H 0H0:

muμless than<3232

Upper H Subscript aHa:

muμgreater than or equals≥3232

Upper H 0H0:

muμless than or equals≤3232

Upper H Subscript aHa:

muμgreater than>3232

Upper H 0H0:

muμgreater than>3232

Upper H Subscript aHa:

muμless than or equals≤3232

Upper H 0H0:

muμequals=3232

Upper H Subscript aHa:

muμless than<3232

Upper H 0H0:

muμgreater than or equals≥3232

Upper H Subscript aHa:

muμless than<3232

Your answer is correct.

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

Pequals=nothing

(Round to three decimal places as needed.)

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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