A psychologist studied the alcohol consumption patterns of people in two age groups. One group consisted of people aged 21 to 35 , and the other consisted of people aged 36 to 50 . The psychologist interviewed random and independent samples from each group. She assigned a score from 0 to 100 to each individual (a score of 0 meant no alcohol consumption) according to factors such as the frequency and the amount of alcohol consumed. The results from the study are summarized below: Age 21 to 35 Age 36 to 50 =n128 =n223 =x147.3 =x254.9 =s21153.76 =s22100 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Assume that the scores of all people aged 21 to 35 are approximately normally distributed. Assume the same for the scores of all people aged 36 to 50 . Can we conclude, at the 0.1 significance level, that the variance of the scores of all people aged 21 to 35 , σ21 , is greater than the variance of the scores of all people aged 36 to 50 , σ22 ? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.) The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) Can we conclude that the variance of the scores of all people aged 21 to 35 is greater than the variance of the scores of all people aged 36 to 50

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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A psychologist studied the alcohol consumption patterns of people in two age groups. One group consisted of people aged

, and the other consisted of people aged

. The psychologist interviewed random and independent samples from each group. She assigned a score from

100

to each individual (a score of

meant no alcohol consumption) according to factors such as the frequency and the amount of alcohol consumed. The results from the study are summarized below:

Age 21 to 35	Age 36 to 50
=n128	=n223
=x147.3	=x254.9
=s21153.76	=s22100

(The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.)

Assume that the scores of all people aged

are approximately normally distributed. Assume the same for the scores of all people aged

. Can we conclude, at the

0.1

significance level, that the variance of the scores of all people aged

σ21

, is greater than the variance of the scores of all people aged

σ22

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

The value of the test statistic: (Round to at least three decimal places.)
The p-value: (Round to at least three decimal places.)
Can we conclude that the variance of the scores of all people aged 21 to 35 is greater than the variance of the scores of all people aged 36 to 50 ?	Yes	No

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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