Question 256632: Hello again, here is another question that I have:
2.Use the method specified to perform the hypothesis test for the population
mean . A local brewery distributes beer in bottles labeled 32 ounces. A government agency thinks that the brewery is cheating its customers. The agency select 50 of these bottles, measures their contents, and obtains a sample mean of 31.6 ounces with a population standard deviation of 0.70 ounce. At = 0.01, test the agency’s claim that the brewery is cheating its customers
a. Use the critical value z0 method from the normal distribution
1. H0 :
Ha :
2. = this means standar deviation
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:
b. Use the P-value method
1. H0 :
Ha :
2. =
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:
I don't know what it is about this chapter that I am not getting, please help.
Thanks
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Use the method specified to perform the hypothesis test for the population
mean . A local brewery distributes beer in bottles labeled 32 ounces. A government agency thinks that the brewery is cheating its customers. The agency select 50 of these bottles, measures their contents, and obtains a sample mean of 31.6 ounces with a population standard deviation of 0.70 ounce. At = 0.01, test the agency’s claim that the brewery is cheating its customers
a. Use the critical value z0 method from the normal distribution
1. H0 : u = 32
Ha : u < 32
---------------------
2. = this means standard deviation
3. Test statistics:
t(31.6) = (31.6-32)/[0.7/sqrt(50)] = -4.0406...
-------------------------------
4. P-value or critical z0 or t0.
p-value = P(t<-4.0406 with df = 49) = tcdf(-100,-4.0406,49)=0.00009379
------------------------------
5. Rejection Region:
The left-tail cutoff for 1% in the t-distribution for df=49 is -2.40489..
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6. Decision: Since the p-value is less than 1% reject Ho.
-------------------------
7. Interpretation: This test shows evidence that the brewery is
cheating its customers.
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Cheers,
Stan H.
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