The mean score on a widely freshman history examination is 75. A history teacher at a very large university wants to determine wether there is statistical evidence for claiming that this year's class is not average. Given the following scores, and assuming that the students in the class are a random sample from the population of student at the university, test the appropriate hypothesis versus the appropriate alternative. The test score are: 94, 69, 89, 49, 88, 89, 6, 95, 55, 93, 86, 62, 83, 96, 48, 51, 69, 74, 83, 71, 89, 58, 89, 81, 71, 52, 73, 75, 91, 68, 100, 63, 81. The mean score on a widely freshman history examination is 75. Ahistory teacher at a very large university wants to determine whetherthere is statistical evidence for claiming that this year's class is notaverage.Given the following scores, and assuming that the students in this classare a random sample from the population of students at the university,test the appropriate hypothesis versus the appropriate alternative. Thetest scores are:9469498889658995559386628396485169748371895889817952737591681006381

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Description: The mean score on a widely freshman history examination is 75. A history teacher at a very large university wants to determine wether there is statistical evidence for claiming that this year's class is not average. Given the following scores, and as

Given : population mean(μ)=75 Xi=test scores Dataset:

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The mean score on a widely freshman history examination is 75. A history teacher at a very large university wants to determine wether there is statistical evidence for claiming that this year's class is not average. Given the following scores, and assuming that the students in the class are a random sample from the population of student at the university, test the appropriate hypothesis versus the appropriate alternative. The test score are: 94, 69, 89, 49, 88, 89, 6, 95, 55, 93, 86, 62, 83, 96, 48, 51, 69, 74, 83, 71, 89, 58, 89, 81, 71, 52, 73, 75, 91, 68, 100, 63, 81.

The mean score on a widely freshman history examination is 75. A
history teacher at a very large university wants to determine whether
there is statistical evidence for claiming that this year's class is not
average.
Given the following scores, and assuming that the students in this class
are a random sample from the population of students at the university,
test the appropriate hypothesis versus the appropriate alternative. The
test scores are:
94
69
49
88
89
65
89
95
55
93
86
62
83
96
48
51
69
74
83
71
89
58
89
81
79
52
73
75
91
68
100
63
81

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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