Last year, the average amount that teams for the Statistics Games raised was $375. Have teams been more successful at fundraising this year? To find out, you take a random sample of 36 teams. Your sample of 36 teams yields a mean of $396 and a standard deviation of $70. At a significance level of 5%, what is your conclusion?AFail to reject the null. There is evidence that the average amount raised by teams is still $375.BReject the null. There is strong evidence that the mean amount raised by teams has increased from $396.CFail to reject the null. There is not enough evidence to say that the average amount raised by teams has increased.DReject the null. There is strong evidence that the mean amount raised by teams has increased from $375.EReject the null. There is strong evidence that the mean amount raised by teams is $396.

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Answered: Last year, the average amount that…

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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Last year, the average amount that teams for the Statistics Games raised was $375. Have teams been more successful at fundraising this year? To find out, you take a random sample of 36 teams. Your sample of 36 teams yields a mean of $396 and a standard deviation of $70. At a significance level of 5%, what is your conclusion?

Fail to reject the null. There is evidence that the average amount raised by teams is still $375.

Reject the null. There is strong evidence that the mean amount raised by teams has increased from $396.

Fail to reject the null. There is not enough evidence to say that the average amount raised by teams has increased.

Reject the null. There is strong evidence that the mean amount raised by teams has increased from $375.

Reject the null. There is strong evidence that the mean amount raised by teams is $396.

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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