Asked by Micah Johnson on Jun 05, 2024
Verified
The times required to service customers' cars at a repair shop are skewed to the right with a mean of 2.5 hours and a standard deviation of 0.75 hours. What can be said about the proportion of cars whose service time is either less than one hour or more than four hours?
Skewed
Describes a distribution that is asymmetrical, where data points cluster more on one side than the other, often leading to a longer tail on one side of the peak.
Mean
To find the average value of a group of numbers, one adds together all the numbers and divides by how many numbers there are.
- Implement the Empirical Rule for normal distributions to ascertain the percentage of observations within one, two, or three standard deviations from the mean.
- Implement the notion of skewness in the interpretation of empirical data.
Verified Answer
NO
Nidhi OswalJun 06, 2024
Final Answer :
Applying the Tchebysheff 's Theorem, we can say that at most 25% of the cars take less than one hour or more than four hours to service.
Learning Objectives
- Implement the Empirical Rule for normal distributions to ascertain the percentage of observations within one, two, or three standard deviations from the mean.
- Implement the notion of skewness in the interpretation of empirical data.