Question

For a sample of 32 men, the mean head circumference is 56 cm with a standard deviation equal to 1.9 cm. For a sample of 32 women, the mean head circumference is 55.1 am with a standard leviation equal to 1.1 cm.

(a) Find the value of the difference between the sample means for men and women. (Round your answer to the nearest tenth.)

Answer 1

To calculate the difference between the sample means of men's and women's head circumferences, subtract the women's mean (55.1 cm) from the men's mean (56 cm), resulting in a difference of 0.9 cm.

Step-by-step explanation:

The student is asking for the value of the difference between the sample means for two different groups - men and women. To find this, we simply subtract the mean of the women's head circumferences from the mean of the men's head circumferences.

For men, the mean is 56 cm, and for women, it is 55.1 cm. The calculation would be:

• Mean of men's head circumference = 56 cm
• Mean of women's head circumference = 55.1 cm
• The difference = 56 cm - 55.1 cm = 0.9 cm

So, the difference between the sample means for men and women, rounded to the nearest tenth, is 0.9 cm.