Please show work in simply terms for understanding - this is an a and b question
ID: 2959555 • Letter: P
Question
Please show work in simply terms for understanding - this is an a and b question. Thank you!
a. Use the critical value t0 method from the normal distribution to test for the population mean m. Test the agency’s claim at the level of significance a = 0.05.
1. H0 :
Ha :
2. a =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:
b. Use the critical value t0 method from the normal distribution to test for the population mean m. Test the agency’s claim at the level of significance a = 0.01
1. H0 :
Ha :
2. a =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:
Explanation / Answer
(b) Given n=20, xbar=11.7, s=0.70
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1. H0 : =12
Ha : < 12
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2. a =0.01
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3. Test statistics:
t=(xbar-)/(s/n)
=(11.7-12)/(0.7/sqrt(20))
= -1.92
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4. P-value or critical z0 or t0.
The criticial value is t(0.01, df=n-1=19)= -2.53 (check student t table)
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5. Rejection Region:
If t<-2.53, reject Ho
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6. Decision:
Since t=-1.92>-2.53, we do not reject Ho.
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7. Interpretation:
So we can conclude that the agency’s claim that the brewery is not cheating its customers