SOLUTION: Question:
3.A local brewery distributes beer in bottles labeled 12 ounces. A government agency thinks that the brewery is cheating its customers. The agency select 20 of these b
Algebra.Com
Question 257773: Question:
3.A local brewery distributes beer in bottles labeled 12 ounces. A government agency thinks that the brewery is cheating its customers. The agency select 20 of these bottles, measures their contents, and obtains a sample mean of 11.7 ounces with a standard deviation of 0.70 ounce. Assume the distribution is normally distributed. Test the agency’s claim that the brewery is cheating its customers
a. Use the critical value t0 method from the normal distribution to test for the population mean -symbol is a mean. Test the agency’s claim at the level of significance -symbol is significance of alpha = 0.05.
1. H0 :
Ha :
2. = significance of alpha symbol
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 -symbol is a mean. Test the agency’s claim at the level of significance -symbol is signficance of alpha = 0.01
1. H0 :
Ha :
2. -symbol is a significance of alpha = 0
3. Test statistics:
4. P-value or critical z0 or t0.
5. Rejection Region:
6. Decision:
7. Interpretation:
I have tried to understand this chapter but no luck.
Answer by onlinetutor365.com(14) (Show Source): You can put this solution on YOUR website!
A local brewery distributes beer in bottles labeled 12 ounces. A government agency thinks that the brewery is cheating its customers. The agency select 20 of these bottles, measures their contents, and obtains a sample mean of 11.7 ounces with a standard deviation of 0.70 ounce. Assume the distribution is normally distributed. Test the agency’s claim that the brewery is cheating its customers
a. Use the critical value t0 method from the normal distribution to test for the population mean. Test the agency’s claim at the level of significance = 0.05.
1. H0 : µ=12
Ha : µ < 12 (because the problem claims there is cheating which is less than 12)
2. =0.05
3. Test statistics:
t= (11.7-12)/[0.7/square root(20) = -1.92
4. P-value or critical z0 or t0.
The critical value of to=-1.729
5. Rejection Region:
12
-1.729 t-score
6. Decision:
Since test statistic of t=-1.92 <-1.729, we reject the null hypothesis.
7. Interpretation:
We conclude that there is significant evidence of the manufacturer's claim and provides strong evidence that the brewery is cheating
b. Use the critical value t0 method from the normal distribution to test for the population mean. Test the agency’s claim at the level of significance = 0.01
(References: example 1 though 5 pages 397 - 401, end of section exercises 23 – 28 pages 404 - 405) (5 points)
1. H0 : µ=12
Ha : µ < 12 (because the problem claims there is cheating which is less than 12)
2. =0.05
3. Test statistics:
t= (11.7-12)/[0.7/square root(20) = -1.92
4. P-value or critical z0 or t0.
The critical value of to=-1.729
5. Rejection Region:
12
-2.539 t-score
6. Decision:
Since test statistic of t=-1.92 >-2.539, we fail to reject the null hypothesis.
7. Interpretation:
We conclude that there is no significant evidence of the manufacturer's claim and provides strong evidence that the brewery is cheating
RELATED QUESTIONS
2. Use the method specified to perform the hypothesis test for the population
mean... (answered by stanbon)
Hello Again,
I had already sent this question and got part of the answer but I had... (answered by stanbon)
Hello again, here is another question that I have:
2.Use the method specified to... (answered by stanbon)
A local juice manufacturer distributes juice in bottles labeled 12 ounces. A government... (answered by Theo)
1. Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is... (answered by Boreal)
suppose a brewery has a filling machine that fills 12 ounce bottles of beer. it is known... (answered by Theo)
1. Suppose a brewery has a filling machine that fills 12 ounce bottles of beer. It is... (answered by ikleyn)
The Hudson Valley Bottling Company distributes root beer in bottles labeled 32 ounces.... (answered by stanbon)
) A brewery manufactures three types of beer - lite, regular, and dark. Each vat of... (answered by AnlytcPhil)