3. A manager wants to determine if there is a significant difference between the daily wages for semiskilled workers in two cities. In order to do this, he takes a random sample of daily wages in both cities and finds thatx₁ = Php 300, x₂ = Php 270, $1 = Php 100, S2 Php 90 n1 = 40, n₂ = 54. Test at 5% level of significance. Assume the population to be approximately with equal variances. Step 1. Null & Alternative hypotheses(. Step 2. Level of Significance: 0.05 Step 3: Find the critical value ( df= n₁ + n₂ - 2 Step 4. s2p= (n₁-1)(s₁)² (n2-1)(S2)² n₁+n2-2 Tabular value:1.960 Normal Curve:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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3. A manager wants to determine if there is a significant difference
=
between the daily wages for semiskilled workers in two cities. In order
to do this, he takes a random sample of daily wages in both cities and
finds thatx₁ = Php 300,₂ Php 270, $1 = Php 100, S2 = Php 90 n1 =
40, n₂ = 54. Test at 5% level of significance. Assume the population to
be approximately with equal variances.
Step 1. Null & Alternative hypotheses(
Step 2. Level of Significance: 0.05
Step 3: Find the critical value (
df= n₁ + n₂-2
Step 4.
4. s² p =
(n₁-1)(s1)²(n2-1)(sz) ²
n₁+n2-2
Tabular value:1.960
Normal Curve:
Step 5. t =
Step 6. Conclusion
x1-x1
[(s²p) (1/4+1/2)
n1
Transcribed Image Text:3. A manager wants to determine if there is a significant difference = between the daily wages for semiskilled workers in two cities. In order to do this, he takes a random sample of daily wages in both cities and finds thatx₁ = Php 300,₂ Php 270, $1 = Php 100, S2 = Php 90 n1 = 40, n₂ = 54. Test at 5% level of significance. Assume the population to be approximately with equal variances. Step 1. Null & Alternative hypotheses( Step 2. Level of Significance: 0.05 Step 3: Find the critical value ( df= n₁ + n₂-2 Step 4. 4. s² p = (n₁-1)(s1)²(n2-1)(sz) ² n₁+n2-2 Tabular value:1.960 Normal Curve: Step 5. t = Step 6. Conclusion x1-x1 [(s²p) (1/4+1/2) n1
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