The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b). s² = 59.5 s²=28.2 Population A: n=13 Population B: n=21 a. At the 0.05 level of significance, is there evidence of a difference between o? and ?? Determine the hypotheses. Choose the correct answer below. OA. Ho: 0² #02 H₁:0² = 0²/2 OC. Ho: o² = 0² H₁:0² #0²/2 Use technology to find the test statistic, FSTAT FSTAT= (Round to two decimal places as needed.) Use technology to determine the p-value. p-value= (Round to three decimal places as needed.) Reach a decision. The upper-tail critical value of F is (Round to two decimal places as needed.) What is your statistical decision? Ho. There is ... evidence that o?>0². OB. H₂:0² 20² H₁:0² <0²/ Ho- There is evidence of a difference between o? and o2. b. Suppose that you want to perform a one-tail test. At the 0.05 level of significance, what is the upper-tail critical value of F to determine whether there is evidence that o? > o2? What is your statistical decision? OD. Ho: o²s0²/2 H₁:0² > 0²/2

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The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b).
Population A: n = 13
S² = 59.5
s² = 28.2
Population B: n = 21
a. At the 0.05 level of significance, is there evidence of a difference between o? and ??
Determine the hypotheses. Choose the correct answer below.
OA. Ho: 0² #02/2
H₁:0² = 0²
O C. Ho: o² = 0²/2
H₁:0² #0²
Use technology to find the test statistic, FSTAT.
FSTAT (Round to two decimal places as needed.)
Use technology to determine the p-value.
p-value = (Round to three decimal places as needed.)
Reach a decision.
The upper-tail critical value of F is
(Round to two decimal places as needed.)
What is your statistical decision?
Ho. There is
OB. H₂:0² 20²
H₁:0² <0²
Ho. There is
evidence of a difference between of and o2.
b. Suppose that you want to perform a one-tail test. At the 0.05 level of significance, what is the upper-tail critical value of F to determine whether there is evidence that o? > o2? What is your
statistical decision?
evidence that o² > 0²/2.
OD. Ho: 0² ≤0²/2
H₁: 0²12 > 0²/22
Transcribed Image Text:The following information is available for two samples selected from independent normally distributed populations. Complete parts (a) and (b). Population A: n = 13 S² = 59.5 s² = 28.2 Population B: n = 21 a. At the 0.05 level of significance, is there evidence of a difference between o? and ?? Determine the hypotheses. Choose the correct answer below. OA. Ho: 0² #02/2 H₁:0² = 0² O C. Ho: o² = 0²/2 H₁:0² #0² Use technology to find the test statistic, FSTAT. FSTAT (Round to two decimal places as needed.) Use technology to determine the p-value. p-value = (Round to three decimal places as needed.) Reach a decision. The upper-tail critical value of F is (Round to two decimal places as needed.) What is your statistical decision? Ho. There is OB. H₂:0² 20² H₁:0² <0² Ho. There is evidence of a difference between of and o2. b. Suppose that you want to perform a one-tail test. At the 0.05 level of significance, what is the upper-tail critical value of F to determine whether there is evidence that o? > o2? What is your statistical decision? evidence that o² > 0²/2. OD. Ho: 0² ≤0²/2 H₁: 0²12 > 0²/22
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