A professor at a large university believes that students take an average of 15 credit hours per term. A random sample of 22 students in her class of 250 students reported the following number of credit hours that they were taking:12121213131414141415151516161616161717181921aWhich distribution will you use here? If you use t distribution, give the degree of freedom. If you use z or normal, give the mean and standard deviation. Give the null and alternative hypothesis: bGive the test statistic:Find the p-value: c Decision and Conclusion:

Name: A professor at a large university believes that students take an avera
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Description: A professor at a large university believes that students take an average of 15 credit hours per term. A random sample of 22 students in her class of 250 students reported the following number of credit hours that they were taking:12121213131414141415

(a) Determine the type of distribution used. The type of distribution used is t-distribution…

Answered: A professor at a large university…

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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A professor at a large university believes that students take an average of 15 credit hours per term. A random sample of 22 students in her class of 250 students reported the following number of credit hours that they were taking:

12	12	12	13	13	14	14	14	14	15	15
15	16	16	16	16	16	17	17	18	19	21

aWhich distribution will you use here? If you use t distribution, give the degree of freedom. If you use z or normal, give the mean and standard deviation. Give the null and alternative hypothesis:

bGive the test statistic:Find the p-value:

c Decision and Conclusion:

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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