Question

A group of adult males has foot lengths with a mean of 27.1227.12 cm and a standard deviation of 1.131.13 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 29.829.8 cm significantly low or significantly​ high? Explain.

Answer 1

Answer:

$\bar X -2s = 27.12- (2*1.13) =24.86$

$\bar X +2s = 27.12+(2*1.13) =29.38$

So if a value is less than 24.86 would be considered significantly low and a value higher than 29.38  would be considered as significantly high.

The value for the analysis is 29.8 and as we can see 29.8>29.38 so then we can consider 29.8 as a value significantly high.

Step-by-step explanation:

For this case we have the mean given $\bar X = 27.12$ and the deviation $s= 1.13$

The Range Rule of Thumb says "that the range is about four times the standard deviation"

So then we will ave approximately most of the value within 2 deviations from the mean, so we can find the limits considered normally like this:

$\bar X -2s = 27.12- (2*1.13) =24.86$

$\bar X +2s = 27.12+(2*1.13) =29.38$

So if a value is less than 24.86 would be considered significantly low and a value higher than 29.38  would be considered as significantly high.

The value for the analysis is 29.8 and as we can see 29.8>29.38 so then we can consider 29.8 as a value significantly high.