The owner of the coffee vending machine believes that it dispenses 180 ml of coffee. The assistant used a random sample of 29 and found out that the mean is 185 ml with a standard deviation of 12.5 ml. Is the owner correct in his claim at 0.05 level of significance?
The owner of the coffee vending machine believes that it dispenses 180 ml of coffee. The assistant used a random sample of 29 and found out that the mean is 185 ml with a standard deviation of 12.5 ml. Is the owner correct in his claim at 0.05 level of significance?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
![The owner of the coffee vending machine believes that it dispenses 180 ml of coffee. The assistant used a random sample of 29 and found out that the mean is
185 ml with a standard deviation of 12.5 ml.
Is the owner correct in his claim at 0.05 level of significance?
STEP 1:
Claim: The average amount of coffee that the vending machine can dispense is [a].
Ho: The average amount of coffee that the vending machine can dispense is [b].
Ha: The average amount of coffee that the vending machine can dispense is [c].
STEP 2:
Type of test: [d]
Critical value/s: [e]
α = 0.05
STEP 3:
What is the computed test value? [f]
STEP 4:
Decision: [g]
STEP 5:
Conclusion: [h] (Choose the letter of your answer.)
There is
between the sample mean and population mean. Thus, the owner is
in his claim.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F304bc1a4-8ae4-4500-ae2b-e87af5008916%2F0adab3be-260f-42d6-aa81-5335861d2368%2Fe5tlqoc_processed.png&w=3840&q=75)
Transcribed Image Text:The owner of the coffee vending machine believes that it dispenses 180 ml of coffee. The assistant used a random sample of 29 and found out that the mean is
185 ml with a standard deviation of 12.5 ml.
Is the owner correct in his claim at 0.05 level of significance?
STEP 1:
Claim: The average amount of coffee that the vending machine can dispense is [a].
Ho: The average amount of coffee that the vending machine can dispense is [b].
Ha: The average amount of coffee that the vending machine can dispense is [c].
STEP 2:
Type of test: [d]
Critical value/s: [e]
α = 0.05
STEP 3:
What is the computed test value? [f]
STEP 4:
Decision: [g]
STEP 5:
Conclusion: [h] (Choose the letter of your answer.)
There is
between the sample mean and population mean. Thus, the owner is
in his claim.
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