Estimate the true mean GPA of the freshman class with 99% confidence. 1.92.8 I2.53.12.02.13.23.02.72.72.82.42.02.93.82.72.8 3.23.51.93.03.84.03.42.72.03.03.92.22.93.31.93.82.72.82.1 Freshmen's GPA First-semester GPAs for a randomselection of freshmen at a large university are shown.Estimate the true mean GPA of the freshman class with99% confidence. Assume o 0.62. 2.55 μ< 3.09σ......

Population standard deviation()=0.62Sample size(n)=36

Freshmen's GPA First-semester GPAs for a random selection of freshmen at a large university are shown. Estimate the true mean GPA of the freshman class with 99% confidence. Assume σ = 0.62. 2.55 <<3.09

Freshmen's GPA First-semester GPAs for a random selection of freshmen at a large university are shown. Estimate the true mean GPA of the freshman class with 99% confidence. Assume σ = 0.62. 2.55 <<3.09

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.8: Probability

Problem 10E

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Question

Estimate the true mean GPA of the freshman class with 99% confidence.

1.9
2.8 I
2.5
3.1
2.0
2.1
3.2
3.0
2.7
2.7
2.8
2.4
2.0
2.9
3.8
2.7
2.8 3.2
3.5
1.9
3.0
3.8
4.0
3.4
2.7
2.0
3.0
3.9
2.2
2.9
3.3
1.9
3.8
2.7
2.8
2.1

Freshmen's GPA First-semester GPAs for a random
selection of freshmen at a large university are shown.
Estimate the true mean GPA of the freshman class with
99% confidence. Assume o 0.62. 2.55 μ< 3.09
σ
......

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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