Can you show steps? Thanks! Assume for this question that college women\'s heigh

Question

Can you show steps? Thanks! Assume for this question that college women's heights are approximately Normally distributed with a mean of 64.3 inches and a standard deviation of 2.4 inches Complete parts (a) through (d) below. Click the icon to view a data table from a sample of 126 college women. a. Find the percentage of women who should have heights of 63.5 inches or less. Draw a Normal curve. Choose the correct graph below. A. B. D. 3 O 3 .3 The percentage of women who should have heights of 63.5 inches or less is (Type an integer or decimal rounded to one decimal place as needed.) b. In a sample of 126 women, according to the probability obtained in part (a), how many should have heights of 63.5 inches or less? In a sample of 126 women, should have heights of 63.5 inches or less. (Type an integer or decimal rounded to two decimal places as needed.) c. The attached table shows the frequencies of heights for a sample of 126 women. Count the women who appear to have heights of 63 inches or less by lookin the table The number of women in the sample that have a height of 63 inches or less is (Type a whole number.) d. Are the answers to parts b and c the same or different? Explain. O A. The answers are very close. This distribution is a good approximation for this sample. O B. The answers are very close. This distribution is not a good approximation for this sample. C. The answers are very different. This distribution is not a good approximation for this sample. O D. The answers are very different. This distribution is a good approximation for this sample

Explanation / Answer

Ans:

a)

z=(63.5-64.3)/2.4=-0.3333

Option D is correct,As area corresponding to P(z<-0.333) is shaded.

P(z<-0.3333)=0.369 or 36.9%

b)

Number of women having 63.5 or less=126*0.369=46.55

c)From table,

Number of women having 63 or less=3+4+8+13+18=46

d)Option A is correct.

The answers are very close.This distribution is a good approximation for this sample.

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