A researcher believes that the ankle circumference for adult

A researcher believes that the ankle circumference for adult females in Europe can be considered to have a normal distribution with a mean of 20 cm.If his belief is correct which of the following ranges of ankle sizes will have the largest proportion of members of this population?

Select one:

1) 11 to 17 cm

2) 17 to 23 cm

3) 23 to 29 cm

4) It is impossible to tell without the standard deviation.

Solution

A researcher believes that the ankle circumference for adult females in Europe can be considered to have a normal distribution with a mean of 20 cm.If his belief is correct which of the following ranges of ankle sizes will have the largest proportion of members of this population?

Select one:

1) 11 to 17 cm

2) 17 to 23 cm

3) 23 to 29 cm

4) It is impossible to tell without the standard deviation.

since this is normal distribution with a mean of 20 cm, this distribution is bell shaped and peaked around mean. This means most of the values are around mean.