Mr. Louis is taking a bus tour. The cost of the bus tour includes: $25.75 for the bus ride $9.25 for lunch admission to two muse
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Answer:
The approximate probability that the mean of the rounded ages within 0.25 years of the mean of the true ages is P=0.766.
Step-by-step explanation:
We have a uniform distribution from which we are taking a sample of size n=48. We have to determine the sampling distribution and calculate the probability of getting a sample within 0.25 years of the mean of the true ages.
The mean of the uniform distribution is:
The standard deviation of the uniform distribution is:
The sampling distribution can be approximated as a normal distribution with the following parameters:
We can now calculate the probability that the sample mean falls within 0.25 from the mean of the true ages using the z-score: