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ayoismeisjjjjuan
22.10.2020 •
Mathematics
A plating company has two silver plating systems with variances σ12 and σ22. You, as the manager, desired to compare the variability in the silver plating done by System-1 with that done by System-2. An independent random sample of size n1= 12 of the System-1 yields s1 = 0.038 mil and sample of size n2= 10 of System-2 yields s2 = 0.042 mil. We need to decide whether σ12= σ22 with α = 0.05. What is the rejection region?
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Ответ:
The rejection region is
or![F_{cal} F_{{\frac{\alpha}{2}} , df_1 , df_2 }](/tpl/images/0831/4252/ca132.png)
and
From the value obtained we see that
The decision rule
Fail to reject the null hypothesis
The conclusion
This no sufficient evidence to conclude that there is a difference between the two variance
Step-by-step explanation:
From the question we are told that
The first sample size is![n_1 = 12](/tpl/images/0831/4252/c4139.png)
The first sample standard deviation is![s_1 = 0.038 \ mil](/tpl/images/0831/4252/6aac2.png)
The second sample size is![n_2 = 10](/tpl/images/0831/4252/1e6fe.png)
The first sample standard deviation is![s_2 = 0.042 \ mil](/tpl/images/0831/4252/3ac13.png)
The significance level is![\alpha =0.05](/tpl/images/0831/4252/870de.png)
The null hypothesis is![H_o : \sigma^2_1 = \sigma^2_2](/tpl/images/0831/4252/81d3b.png)
The alternative hypothesis is![H_o : \sigma^2_1 \ne \sigma^2_2](/tpl/images/0831/4252/7945c.png)
Generally the test statistics is mathematically represented as
=>![F_{cal} = \frac{ 0.038^2 }{0.042^2}](/tpl/images/0831/4252/539f0.png)
=>
Generally the first degree of freedom is![df_1 = n_1 -1 = 12-1 = 11](/tpl/images/0831/4252/a4a8f.png)
Generally the second degree of freedom is![df_2 = n_2 -1 = 10 -1 = 9](/tpl/images/0831/4252/35e4d.png)
From the F-table the critical value of
at the degrees of freedom of
and
is
The rejection region is
or![F_{cal} F_{{\frac{\alpha}{2}} , df_1 , df_2 }](/tpl/images/0831/4252/ca132.png)
and
From the value obtained we see that
The decision rule
Fail to reject the null hypothesis
The conclusion
This no sufficient evidence to conclude that there is a difference between the two variance
Ответ:
i felt like an elegant ejaculation but now i feel sad and pathetic like an orphan with no arms or legs with progeria
Step-by-step explanation: