A) What is the alternative hypothesis?a. The population mean is equal to 7.2 points.b. The population mean is greater than 7.2 points.c. The population mean is smaller than 7.2 points.B) What Z-score(s) corresponds to the alpha level? In other words, at what point(s) would we reject the null hypothesis?C) What is the test statistic? A researcher wants to know if a treatment significantlyincreases the well being of someone with depression. Theaverage person with depression scores a 7.2 on a well beingscale with a SD of 1.4 points. The researcher administers thetreatment to 25 clients for a month and finds their well being atthe end to be 7.7. Assume an alpha level of .05.

Given data: Significance level = 0.05 Claim: A researcher wants to know if a treatment significantly…

Answered: A) What is the alternative hypothesis?…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 11PPS

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A) What is the alternative hypothesis?

a. The population mean is equal to 7.2 points.

b. The population mean is greater than 7.2 points.

c. The population mean is smaller than 7.2 points.

B) What Z-score(s) corresponds to the alpha level? In other words, at what point(s) would we reject the null hypothesis?

C) What is the test statistic?

A researcher wants to know if a treatment significantly
increases the well being of someone with depression. The
average person with depression scores a 7.2 on a well being
scale with a SD of 1.4 points. The researcher administers the
treatment to 25 clients for a month and finds their well being at
the end to be 7.7. Assume an alpha level of .05.

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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