From a random sample of49dates, the mean record high daily temperature in a certain city has a mean of83.92°F.Assume the population standard deviation is14.59°F.This creates a95%confidence interval for the population mean of(79.83, 88.01).Does it seem possible that the population mean could belessthan87°F?Explain. Choose the correct answer below. A.Yes,itseemspossible because87°Fisbetweentheendpointsof the confidence interval. B.No, it does not seem possible because87°Fis less than the left endpoint of the confidence interval. C.Yes, it seems possible because87°Fis greater than the right endpoint of the confidence interval. D.No,itdoes not seempossible because87°Fisgreater thantheright endpointof the confidence interval.

Given : Sample Size , n= 49 Sample Mean , x̄ = 83.92 population standard deviation…

Answered: From a random sample of 49 dates, the…

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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Question

From a random sample of

dates, the mean record high daily temperature in a certain city has a mean of

83.92°F.

Assume the population standard deviation is

14.59°F.

This creates a

95%

confidence interval for the population mean of

(79.83, 88.01).

Does it seem possible that the population mean could be

less

than

87°F?

Explain.

Choose the correct answer below.

Yes,

seems

possible because

87°F

between

the

endpoints

of the confidence interval.

No, it does not seem possible because

87°F

is less than the left endpoint of the confidence interval.

Yes, it seems possible because

87°F

is greater than the right endpoint of the confidence interval.

No,

does not seem

possible because

87°F

greater than

the

right endpoint

of the confidence interval.

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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