A group of adult males has foot lengths with a mean of 27.82 cm and a standard deviation of 1.26 cm. Use the range rule of thumb to identify the limits separating values that are significantly low or significantly high. Is the adult male foot length of 24.7 cm significantly low or significantly​ high? Explain.

Respuesta :

Answer:

Yes, the value of 24.7 cm is considered significantly low because it is more than 2 standard deviations below the mean.

Step-by-step explanation:

The range rule of thumb says that the range of a distribution is typically four standard deviations, ranging from two standard deviations below the mean to two standard deviations above the mean. Values less than two SDs below the mean are considered significantly low and values greater than two SDs above the mean are considered significantly high.

With [tex]\mu=27.82[/tex] and [tex]\sigma = 1.26[/tex], the lower limit is [tex]\mu - 2\sigma=25.3[/tex].

Since 24.7 is lower than this lower limit, it is considered significantly low.