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Alex's times for running a mile are Normally distributed with a mean time of
5.28 minutes and a standard deviation of 0.38 seconds. Chris's times for
running a mile are Normally distributed with a mean time of 5.45 seconds
and a standard deviation of 0.2 seconds. Ten of Alex's times and 15 of Chris's
times are Tandomly selected. Let x Overbar Subscript Upper A Baseline
minus x Overbar Subscript Upper C represent the difference in the mean
times for Alex and Chris. Which of the following represents the shape of the
sampling distribution for x Overbar Subscript Upper A Baseline minus x
Overbar Subscript Upper C?

Alexs times for running a mile are Normally distributed with a mean time of 528 minutes and a standard deviation of 038 seconds Chriss times for running a mile class=

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Answer: Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds. Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds. Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris. Which of the following represents the shape of the sampling distribution for x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C?

Normal, because both population distributions are Normal.  

Uniform, because the both sample sizes are less than 30.

Skewed right, because the difference in times cannot be negative.

Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.

Step-by-step explanation: Can someone tell me the answer?

Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.

Alex’s times for running a mile are Normally distributed with a mean time of 5.28 minutes and a standard deviation of 0.38 seconds.

Chris’s times for running a mile are Normally distributed with a mean time of 5.45 seconds and a standard deviation of 0.2 seconds.

Ten of Alex’s times and 15 of Chris’s times are randomly selected. Let x Overbar Subscript Upper A Baseline minus x Overbar Subscript Upper C represent the difference in the mean times for Alex and Chris.

What is the standard deviation?

The standard deviation is a statistic that measures the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.

Normal, because both population distributions are Normal.  

Uniform, because both sample sizes are less than 30.

Skewed right, because the difference in times cannot be negative.

Skewed left, because the sample sizes are less than 30 and the sampling variability is unknown.

To learn more about the standard deviation visit:

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