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A sample of 46 observations is selected from one population with a population standard deviation of 4.1. The sample mean is 102.0. A s
Question
A sample of 46 observations is selected from one population with a population standard deviation
of 4.1. The sample mean is 102.0. A sample of 48 observations is selected from a second
population with a population standard deviation of 5.8. The sample mean is 100.1. Using the 0.05
significance level, is there a difference between the two samples?
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Mathematics
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2021-09-03T01:24:37+00:00
2021-09-03T01:24:37+00:00 1 Answers
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Answer:
there is no significant evidence to conclude that there is difference between the two samples.
Step-by-step explanation:
Given :
x1 = 102 ; σ1 = 4.1 ; n1 = 46
x2 = 100.1 ; σ2 = 5.8 ; n2 = 48
H0 : μ1 = μ2
H0 : μ1 ≠ μ2
The test statistic :
The test statistic :
(x1 – x2) / sqrt[(σ1²/n1 + σ2²/n2)]
(102 – 100) / sqrt[(4.1²/46 + 5.8²/48)]
2 / 1.0326025
Test statistic = 1.937
The Pvalue from test statistic score ;
Pvalue = 0.052745
Pvalue > α ; Fail to reject the null ; Hence, there is no significant evidence to conclude that there is difference between the two samples.