nsider a hypothesis test of difference of means for two independent populations x1 and x2. (a) What does the null hypothesis say about the relationship between the two population means? O Ho says that the population means are equal. O Ho says that the population standard deviations are equal. O Ho says that the population standard deviations are different. O Ho says that the population means are different. (b) If the sample test statistic has a z distribution, give the formula for z. H1 - H2 O = 2 n2 O = + n2 Hy - H2 O = V n2 O = V1 + 522 n1 n2 Hy – Hz - (x, - x2) O = s,2 522 n2

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Consider a hypothesis test of difference of means for two independent populations x1 and x2.

Consider a hypothesis test of difference of means for two independent populations x, and x2.
(a) What does the null hypothesis say about the relationship between the two population means?
O H, says that the population means are equal.
O Ho says that the population standard deviations are equal.
O Ho says that the population standard deviations are different.
O Ho says that the population means are different.
(b) If the sample test statistic has a z distribution, give the formula for z.
Hy - H2
O z =
2
n2
X1 - x2
O =
2
o.
+
n1
H1 - H2
O =
51
+
n1
n2
X1 - x2
O =
2
+ 52
n2
Hq -Hz- (xq - x2)
522
O =
V
n1
+
n2
Transcribed Image Text:Consider a hypothesis test of difference of means for two independent populations x, and x2. (a) What does the null hypothesis say about the relationship between the two population means? O H, says that the population means are equal. O Ho says that the population standard deviations are equal. O Ho says that the population standard deviations are different. O Ho says that the population means are different. (b) If the sample test statistic has a z distribution, give the formula for z. Hy - H2 O z = 2 n2 X1 - x2 O = 2 o. + n1 H1 - H2 O = 51 + n1 n2 X1 - x2 O = 2 + 52 n2 Hq -Hz- (xq - x2) 522 O = V n1 + n2
(c) If the sample test statistic has at distribution, give the formula for t.
Ot =
2
+
n2
X1 - x2
Ot =
2
o.
+
n1
H1 - Hz
Ot =
51
n1
n2
Ot =
2
+ 52
n2
Hy - Hz - (x1 - x2)
522
Ot =
V
n1
+
n2
Transcribed Image Text:(c) If the sample test statistic has at distribution, give the formula for t. Ot = 2 + n2 X1 - x2 Ot = 2 o. + n1 H1 - Hz Ot = 51 n1 n2 Ot = 2 + 52 n2 Hy - Hz - (x1 - x2) 522 Ot = V n1 + n2
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