Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 n= 22 n2= 15 x=232.8 X2= 298.8 = 1962.49 s= 924.16

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Question #7 please find (a), (b), and degree of freedom
Random samples that are drawn independently from two normally distributed populations yielded the following statistics.
Group 1
Group 2
n = 22
n2= 15
*= 232.8
X2=298.8
1962.49 s=924.16
(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 0.05 significance level, that the population variance,
o, for group 1 is greater than the population variance, o,, for group 2?
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:Random samples that are drawn independently from two normally distributed populations yielded the following statistics. Group 1 Group 2 n = 22 n2= 15 *= 232.8 X2=298.8 1962.49 s=924.16 (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 0.05 significance level, that the population variance, o, for group 1 is greater than the population variance, o,, for group 2? 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.)
(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 0.05 significance level, that the population variance, o¡,
for group 1 is greater than the population variance, o,, for group 2?
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, .
H, :0
合
H : 0
(b) Determine the type of test statistic to use.
(Choose one) ▼
O=0
OSO
(c) Find the value of the test statistic. (Round to three or more decimal places.)
O<O
(d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.)
(e) Can we conclude that the population variance for group 1 is greater than the population
variance for group 2?
OYes ONo
olo
Ix
Transcribed Image Text:(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 0.05 significance level, that the population variance, o¡, for group 1 is greater than the population variance, o,, for group 2? 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, . H, :0 合 H : 0 (b) Determine the type of test statistic to use. (Choose one) ▼ O=0 OSO (c) Find the value of the test statistic. (Round to three or more decimal places.) O<O (d) Find the critical value at the 0.05 level of significance. (Round to three or more decimal places.) (e) Can we conclude that the population variance for group 1 is greater than the population variance for group 2? OYes ONo olo Ix
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