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Question :
TABLE 12-20
A filling machine at a local soft drinks company : 1403636

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TABLE 12-20

A filling machine at a local soft drinks company is calibrated to fill the cans at a mean amount of 12 fluid ounces and a standard deviation of 0.5 ounces. The company wants to test whether the standard deviation of the amount filled by the machine is 0.5 ounces. A random sample of 15 cans filled by the machine reveals a standard deviation of 0.67 ounces.

1) Referring to Table 12-20, the parameter of interest in the test is ________.

2) Referring to Table 12-20, which is the appropriate test to use?

A) *χ*2 test of independence

B) McNemar test

C) Wilcoxon rank sum test

D) *χ*2 test of population variance

3) True or False: Referring to Table 12-20, in order to perform the test, you need to assume that the amount filled by the machine follows a normal distribution.

4) Referring to Table 12-20, what type of test should be performed?

A) Lower-tail test

B) Upper-tail test

C) Two-tail test

D) None of the above.

5) Referring to Table 12-20, what are the lower and upper critical values of the test when allowing for 5% probability of committing a type I error?

6) Referring to Table 12-20, what is the value of the test statistic?

7) True or False: Referring to Table 12-20, the decision is to reject the null hypothesis when using a 5% level of significance.

8) True or False: Referring to Table 12-20, there is sufficient evidence to conclude that the standard deviation of the amount filled by the machine is not exactly 0.5 ounces when using a 5% level of significance.

9) True or False: Referring to Table 12-20, the decision is to reject the null hypothesis when using a 10% level of significance.

10) True or False: Referring to Table 12-20, there is sufficient evidence to conclude that the standard deviation of the amount filled by the machine is not exactly 0.5 ounces when using a 10% level of significance.

11) True or False: Referring to Table 12-20, the *p*-value of the test is somewhere between 5% and 10%.