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A policeman observed a Simple Random Sample (SRS) of 20 vehicles on this stretch of roadway and found that the average speed of all these

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A policeman observed a Simple Random Sample (SRS) of 20 vehicles on this stretch of roadway and found that the average speed of all these vehicles is X = 40 mph. Suppose speeds of vehicles on a particular stretch of roadway are normally distributed with mean u and standard deviation o = 1.7 mph. If the sample size of vehicles included in the sample increases, how does the sampling distribution of the sample mean of the vehicle speeds change? The shape of the distribution will change, but it is dependent upon the new data that is collected. The sampling distribution will remain Normal regardless of the sample size and will have the same average and standard deviation as the sampling distribution computed from the smaller sample. The sampling distribution will remain Normal and the mean will remain the same regardless of the sample size, but its standard deviation will be smaller than the sampling distribution based on the smaller sample. O It is not possible to determine what the new distribution will be without knowing the new data

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