Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 n¡ = 17 n2= 16 x= 291.5 X2=279.2 s= 1296 s5= 2641.96 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Can we conclude, at the 0.10 significance level, that the two population variances, of and o,, differ? Perform a two-tailed test. Then complete the parts below.

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Random samples that are drawn independently from two normally distributed populations yielded the following statistics.
Group 1
Group 2
n1=17
n2 = 16
X1= 291.5
||
X2= 279.2
2
s= 1296 s,
S2=
= 2641.96
(The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.)
Can we conclude, at the 0.10 significance level, that the two population variances, o
and
02,
differ?
Perform a two-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:Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 n1=17 n2 = 16 X1= 291.5 || X2= 279.2 2 s= 1296 s, S2= = 2641.96 (The first row gives the sample sizes, the second row gives the sample means, and the third row gives the sample variances.) Can we conclude, at the 0.10 significance level, that the two population variances, o and 02, differ? Perform a two-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,.
0.
H :
(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 two critical values at the 0.10 level of significance. (Round to three or more decimal places.)
O and |
(e) Can we conclude that the two population variances differ?
Yes ONo
Transcribed Image Text:(a) State the null hypothesis H. and the alternative hypothesis H,. 0. H : (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 two critical values at the 0.10 level of significance. (Round to three or more decimal places.) O and | (e) Can we conclude that the two population variances differ? Yes ONo
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