In a test of two population means - 41 versus 42 - with unknown variances of and o, two independent samples of ni n2 = 10 were taken. The data is given below. Both populations are normally distributed. = 8 and Sample From Population 1: 13, 23, 16, 12, 20, 23, 15, 10; Sample From Population 2: 16, 16, 18, 13, 18, 16, 17, 20, 15, 16; Download.csv file (a) You wish to test the hypothesis that both populations have the same variance. Choose the correct statistical hypotheses. OA. Họ : of = o HA:o + 0? B. Ho : o # ० H: ० = ० C. Ho : o - o HA:o < o} D. Ho : o = o H: ০>০ E. Ho : S = S3 HA: S7 + S? %3! %3D (b) Determine Levene's test statistic for this test. Use at least two decimals in your answer. Test Statistic - 6.88 (c) Determine the P-value for this test, to at least three decimal places. P- 0.005 (d) Using a = 0.05, the null hypothesis should rejected. variation in Population 1 is statistically different than : the variation in Population 2. From this data and this version of the hypothesis we infer

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B and C are wrong 

In a test of two population means - ui versus u2 - with unknown variances of and o, two independent samples of ni = 8 and
n2 = 10 were taken. The data is given below. Both populations are normally distributed.
Sample From Population 1: 13, 23, 16, 12, 20, 23, 15, 10;
Sample From Population 2: 16, 16, 18, 13, 18, 16, 17, 20, 15, 16; Download .csv file
(a) You wish to test the hypothesis that both populations have the same variance. Choose the correct statistical hypotheses.
OA. Họ : o = o} HA:o o
B. Ho : 0 # ०३ H: 0 = 03
C. Ho : o = o HA:o < o?
D. Họ : o7 = o3 HA: o} > o?
E. Ho : S? = S HA: S3 + S3
%3D
(b) Determine Levene's test statistic for this test. Use at least two decimals in your answer.
Test Statistic 6.88
(0) Determine the P-value for this test, to at least three decimal places.
P= 0.005
(d) Using a = 0.05, the null hypothesis should rejected.
From this data and this version of the hypothesis we infer, the
variation in Population 1 is statistically different than the variation in Population 2.
Transcribed Image Text:In a test of two population means - ui versus u2 - with unknown variances of and o, two independent samples of ni = 8 and n2 = 10 were taken. The data is given below. Both populations are normally distributed. Sample From Population 1: 13, 23, 16, 12, 20, 23, 15, 10; Sample From Population 2: 16, 16, 18, 13, 18, 16, 17, 20, 15, 16; Download .csv file (a) You wish to test the hypothesis that both populations have the same variance. Choose the correct statistical hypotheses. OA. Họ : o = o} HA:o o B. Ho : 0 # ०३ H: 0 = 03 C. Ho : o = o HA:o < o? D. Họ : o7 = o3 HA: o} > o? E. Ho : S? = S HA: S3 + S3 %3D (b) Determine Levene's test statistic for this test. Use at least two decimals in your answer. Test Statistic 6.88 (0) Determine the P-value for this test, to at least three decimal places. P= 0.005 (d) Using a = 0.05, the null hypothesis should rejected. From this data and this version of the hypothesis we infer, the variation in Population 1 is statistically different than the variation in Population 2.
"population1", "population2"
"1","13",16
"2","23",16
"3","16",18
"4","12",13
"5","20",18
"6","23",16
"7","15",17
"8","10",20
"9","
"10","",16
%3D
%3D
",15
%3D
Transcribed Image Text:"population1", "population2" "1","13",16 "2","23",16 "3","16",18 "4","12",13 "5","20",18 "6","23",16 "7","15",17 "8","10",20 "9"," "10","",16 %3D %3D ",15 %3D
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