According to the data, calculate a 90% confidence interval for the sample mean.What was the T Score used? The Chancellor wants you to do a research study on the number of miles students report ärivingin a typical day. You select a random and representative sample of 30 students and ask them toreport the number of miles they drive in a typical day. The data below are in miles.15723181918281624301714291725311816122638161224263819183018

Solution: n= 30 Sample size ∑xi=642 x=∑xin=64230=21.4 Sample mean s2=∑(xi-x)2n-1=56.52414 Sample variance s=s2s=7.5182537s=7.5183 Sample standard deviations α=0.10 Level of significance The 90% confidence interval for population mean is x±tα/2,n-1×snAt α=0.10tα/2,n-1=t0.05,29=1.699 From t table(21.4±1.699×7.518330)(21.4±1.699×7.51835.4772255)(21.4±1.699×1.3726475)(21.4±2.3321281)(19.06787, 23.732128)(19.07, 23.73) The 90% confidence for population mean is ( 19.07, 23.73)

Answered: ccording to the data, calculate a 90%…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

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According to the data, calculate a 90% confidence interval for the sample mean.

What was the T Score used?

The Chancellor wants you to do a research study on the number of miles students report äriving
in a typical day. You select a random and representative sample of 30 students and ask them to
report the number of miles they drive in a typical day. The data below are in miles.
15
7
23
18
19
18
28
16
24
30
17
14
29
17
25
31
18
16
12
26
38
16
12
24
26
38
19
18
30
18

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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