A group of adult males has foot lengths with a mean of 26.88 cm and a standard deviation of 1.13 cm. Use the range rule of thumb to
limits separating values that are significantly low or significantly high. Is the adult male foot length of 24.3 cm significantly low or signific
Explain.
Significantly low values are
cm or lower.
- din
a t round

We have been given that a group of adult males has foot lengths with a mean of 26.88 cm and a standard deviation of 1.13 cm. We are asked to find the range rule of thumb to determine whether he adult male foot length of 24.3 cm significantly low or significantly high.

The range rule of thumb states that usual values in a normal standard deviation lies within 2 standard deviation from mean that is [tex]\mu-2\sigma<x<\mu+2\sigma[/tex], where [tex]\mu=\text{ Mean and }\sigma=\text{Standard deviation}[/tex].

Let us find the range of possible values.

[tex]28.88-2(1.13)<x<28.88+2(1.13)[/tex]

[tex]28.88-2.26<x<28.88+2.26[/tex]

[tex]26.62<x<31.14[/tex]

Since 24.3 is less than lower value of range (26.62), therefore, the adult male foot length of 24.3 cm is significantly low.