FOR NEXT 6 QUESTIONS (questions 39-44) USE THE FOLLOWING DIRECTION: A machine is
ID: 3369698 • Letter: F
Question
FOR NEXT 6 QUESTIONS (questions 39-44) USE THE FOLLOWING DIRECTION: A machine is set to put 1.0 liter of drinking water in a bottle with standard deviation of 0.05 liter. If the machine puts either too much or too little, it has to be fixed. The manufacturer measures water in 144 randomly selected bottles and finds that average is 1.1 liter (H0: null hypothesis, and Ha: alternate hypothesis). Which method the manufacturer can use to check if the machine is working properly or not?
A. Hypothesis testing - Z test
B. Hypothesis testing of proportion
C. Hypothesis testing – t test.
D. Sample size estimation for average
E. None of the above
If manufacturer conducts hypothesis testing, it has to consider:
A. one-tailed test
B. two-tailed test
C. one-tailed test because sample size is large
D. two-tailed test because sample size is larger than 30
Which set of ideas can manufacturer formulate for the test?
A. H0: µ = 1.1 and Ha: µ is not equal to 1.1
B. H0: µ = 1.0 and Ha: µ is not equal to 1.0
C. H0: µ = 1.0 and Ha: µ <1.0
D. H0: µ = 1.1 and Ha: µ > 1.1
E. H0: µ = 1.0 and Ha: µ > 1.0
F. None of the above
What level of significance do you suggest for this test?
A. Level of significance = 0.05%
B. Level of significance = 0%
C. Level of significance = 95%
D. Level of significance = 99%
E. None of the above
What is the computed P-value for this test?
A. between 0.05 to 0.01
B. 0.01
C. 0.025
D. 0.0228
E. 0.99
F. None of the above
Which one of the following is a correct conclusion based on the data given? Use 5% level of significance.
A. Reject H0. Machine has to be fixed.
B. Do not reject H0. Machine has to be fixed.
C. Reject H0. Machine is working properly.
D. Do not reject H0. Machine is working properly.
E. None of the above.
Explanation / Answer
The statistical software output for this problem is:
One sample Z summary hypothesis test:
? : Mean of population
H0 : ? = 1
HA : ? ? 1
Standard deviation = 0.05
Hypothesis test results:
Hence,
The correct options will be:
Which method the manufacturer can use to check if the machine is working properly or not?
A. Hypothesis testing - Z test
If manufacturer conducts hypothesis testing, it has to consider:
B. two-tailed test
Which set of ideas can manufacturer formulate for the test?
B. H0: µ = 1.0 and Ha: µ is not equal to 1.0
What level of significance do you suggest for this test?
A. Level of significance = 0.05%
What is the computed P-value for this test?
F. None of the above
Which one of the following is a correct conclusion based on the data given? Use 5% level of significance.
A. Reject H0. Machine has to be fixed.
Mean n Sample Mean Std. Err. Z-Stat P-value ? 144 1.1 0.0041666667 24 <0.0001Related Questions
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