(a) State the null hypothesis Ho and the alternative hypothesis H,. 2 Ho 2 1 2 2 H : o > o, 02 1 (b) Determine the type of test statistic to use. F Degrees of freedom: dfn: dfd:| (c) Find the value of the test statistic. (Round to three or more decimal places (d) Find the p-value. (Round to three or more decimal places.) (e) Can we conclude that the variance of the scores of all people aged 21 to 3. greater than the variance of the scores of all people aged 36 to 50? Yes ONo

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PLEASE only find degrees of freedom, (c), (d), and (e)

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
Age 36 to
35
50
n1= 28
n2 = 17
*1= 51.6
X2= 52.3
2
S
2
s=174.24
S2
= 88.36
(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 0.05 significance level, that the variance of the scores of all people aged 21 to 35, oí, is greater than the variance of the scores of all people
aged 36 to 50,
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.)
Transcribed Image Text: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 Age 36 to 35 50 n1= 28 n2 = 17 *1= 51.6 X2= 52.3 2 S 2 s=174.24 S2 = 88.36 (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 0.05 significance level, that the variance of the scores of all people aged 21 to 35, oí, is greater than the variance of the scores of all people aged 36 to 50, 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.)
(a) State the null hypothesis H and the alternative hypothesis H,.
2
Ho
02
2
2
H : 01
02
(b) Determine the type of test statistic to use.
F
Degrees of freedom: dfn: || dfd:|
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (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?
OYes ONo
Transcribed Image Text:(a) State the null hypothesis H and the alternative hypothesis H,. 2 Ho 02 2 2 H : 01 02 (b) Determine the type of test statistic to use. F Degrees of freedom: dfn: || dfd:| (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (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? OYes ONo
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