A manufacturer makes barrels to hold 55.0 gallons of oil. He tests 27 barrels and finds a mean of 54.5 gallons with a standard deviation of 0.8 gallons. Can the manager claim with 99% confidence that his barrels hold 55 gallons of oil? Assume the population is approximately normal.
Added by Aaron S.
Step 1
** - Null hypothesis (H0): The mean volume of the barrels is 55 gallons (μ = 55). - Alternative hypothesis (H1): The mean volume of the barrels is not 55 gallons (μ ≠ 55). Show more…
Show all steps
Close
Your feedback will help us improve your experience
Sri K and 80 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
A manufacturer is responsible for making barrels used to store crude oil, which are designed to hold exactly 55 gallons of oil. As part of a routine quality check, a factory manager randomly tests 27 barrels off the assembly line and finds that their mean capacity is 54.7 gallons with a standard deviation of 0.8 gallons. Can the manager say with 99% confidence that the requirements are being met? Assume the population distribution is approximately normal. State the null and alternative hypotheses. Determine which distribution to use for the test statistic and state the level of significance. Calculate the test statistic. Draw a conclusion and interpret the decision.
Sri K.
A manufacturer is responsible for making barrels used to store crude oil, which are designed to hold exactly 55 gallons of oil. As part of a routine quality check, a factory manager randomly tests 27 barrels off the assembly line and finds that their mean capacity is 54.7 gallons with a standard deviation of 0.8 gallons. Can the manager say with 99% confidence that the requirements are being met? Assume that the population distribution is approximately normal. (a) State the null and alternative hypothesis. (b) Determine which distribution to use for the test statistic, and state the level of significance. (c) Calculate the test statistic. (d) Draw a conclusion and interpret the decision.
Lucas F.
For each problem, complete the following steps: (a) State the null and alternative hypotheses. (b) Determine which distribution to use for the test statistic and state the level of significance. (c) Calculate the test statistic. (d) Draw a conclusion and interpret the decision. A manufacturer is responsible for making barrels used to store crude oil, which are designed to hold exactly 55 gallons of oil. As part of a routine quality check, a factory manager randomly tests 27 barrels off the assembly line and finds that their mean capacity is 54.7 gallons with a standard deviation of 0.8 gallons. Can the manager say with 99% confidence that the requirements are being met? Assume that the population distribution is approximately normal.
Adi S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD