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. (a) State the null hypothesis H, and the alternative hypothesis H .H, :0H :0(b) Determine the type of test statistic to use.(Choose one) ▼(c) Find the value of the test statistic. (Round to three or more decimal places.)(d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.)(e) Can we conclude that the variance of the scores of all people aged 21 to 35 is greater than thevariance of the scores of all people aged 36 to 50?O Yes ONo Age 21 toAge 36 to3550n = 18n2 = 22x, = 45X2 = 50.4s = 144 s = 51.842(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 aged36 to 50. Can we conclude, at the 0.01 significance level, that the variance of the scores of all people aged 21 to 35, o¡, is greater than thevariance of the scores of all people aged 36 to 50, o5?Perform a one-tailed test. Then complete the parts below.Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a listof formulas.)

we have given that n1=18 , n2=22 , xbar1=45 , xbar2=50.4 and s1^= 144 ,s2^=51.84 and level of…

Answered: Age 21 to Age 36 to 35 50 ", = 18 n2 =…

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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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.

(a) State the null hypothesis H, and the alternative hypothesis H .
H, :0
H :0
(b) Determine the type of test statistic to use.
(Choose one) ▼
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the critical value at the 0.01 level of significance. (Round to three or more decimal places.)
(e) 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?
O Yes ONo

Age 21 to
Age 36 to
35
50
n = 18
n2 = 22
x, = 45
X2 = 50.4
s = 144 s = 51.84
2
(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 0.01 significance level, that the variance of the scores of all people aged 21 to 35, o¡, is greater than the
variance of the scores of all people aged 36 to 50, o5?
Perform a one-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places, and round your answers as specified below. (If necessary, consult a list
of formulas.)

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