A pizza restaurant in a small college town finds that the average delivery time (assuming no unusual problems or delays) for a pizza to be µ = 28.8 minutes with a standard deviation of σ = 6 minutes. Assume the distribution of all delivery times is normal. James does not know any of the above information about delivery times. He resolves to take a sample of 64 delivery times. James will then calculate the mean of the 64 sampled delivery times (represented as X¯X¯ ) and use this as an estimate of the mean population delivery time µ (which he does not know, but you do, it is 28.8 minutes). Approximate, using the normal curve, the chance that James’ estimate of µ will be greater than 30 (implying his guess for µ will be over 1.2 minutes too high). P(X¯>30)=P(X¯>30)= Round to 4 decimal places.
A pizza restaurant in a small college town finds that the average delivery time (assuming no unusual problems or delays) for a pizza to be µ = 28.8 minutes with a standard deviation of σ = 6 minutes. Assume the distribution of all delivery times is normal.
James does not know any of the above information about delivery times. He resolves to take a sample of 64 delivery times. James will then calculate the mean of the 64 sampled delivery times (represented as X¯X¯ ) and use this as an estimate of the mean population delivery time µ (which he does not know, but you do, it is 28.8 minutes).
Approximate, using the normal curve, the chance that James’ estimate of µ will be greater than 30 (implying his guess for µ will be over 1.2 minutes too high). P(X¯>30)=P(X¯>30)=
Round to 4 decimal places.
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