Determine whether the statement makes sense (or is clearly true) or does not make sense (or is clearly false). The explanation is more important than the answer. Among a sample of 961 adult women, pulse rates are normally distributed with a mean of 75.2 beats per minute, and 50% of the women have pulse rates greater than 75.2 beats per minute.
The statement makes sense
The statement makes sense.
In a normally distributed data set, the mean represents the average value of the variable being measured, in this case, the pulse rate of adult women. Therefore, it is possible for the mean pulse rate to be 75.2 beats per minute.
Furthermore, in a normal distribution, 50% of the data falls below the mean, and 50% falls above the mean. Since the statement mentions that 50% of the women have pulse rates greater than 75.2 beats per minute, it aligns with the properties of a normally distributed data set.
However, it should be noted that while the statement makes sense, it does not provide any information about the standard deviation of the pulse rates. The standard deviation plays a crucial role in determining the spread or variability of the data. Without this information, it is difficult to make more precise conclusions about the pulse rates of these women.
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