1. A sample of 148 of our statistics students rated their level of admiration for Hilary Rodham Clinton on a scale of 1 to 7. The mean rating was 4.06 and the standard deviation was 1.70. (For this exercise, treat this sample as the entire population of interest).

a. use these data to demonstrate that the mean of the z distribution is always 0.
b. use these data to demonstrate that the standard deviation of the z distribution is always 1.
c. calculate the z score for student who rated his admiration of Hilary Rodham Clinton as 6.1.
d. a student had a z score of -0.55. What rating did she give for her admiration of Hilary Rodham Clinton?

2. Georgiou and colleagues (1997) reported that college students had healthier eating habits, on average, than did those who were neither college students nor college graduates. The 412 students in the study ate breakfast a mean of 4.1 times per week with a standard deviation of 2.4. For this exercise, imagine that this is the entire population of interest; thus these numbers can be treated as parameters.
a. roughly, what is the percentile for a student who eats breakfast four times per week?
b. roughly, what is the percentile for a student who eats breakfast six times per week?
c. roughly, what is the percentile for a student who eats breakfast twice a week?

Solution Summary

The solution provides detailed explanation how to figure out the percentile based on the z score.

Tthe mean for a special distribution is 100 and the standard deviation is 15. What is the estimated percentile for an individual who had a score of 90 on this scale?

A set of data is normally distributed with a mean of 100 and standard deviation of 15
· What would be the standard score for a score of 90?
· What percentage of scores is between 100 and 90?
· What would be thepercentile rank for a score of 90?

Misery loves company. It is time for the PE (professional engineer's exam). The results of the national test were normally distributed around the mean score of 70. A score of 60 points was a passing score. Since I know someone the knows someone, I found out that my score was 80 and I rated in the 80 percentile (bottom of the top

See attached chart. Your assistance is greatly appreciated. Thank you.
TASK
You have been provided the z-scores of three individuals.
1. Person A received a z-score of 1.0.
2. Person B received a z-score of 0
3. Person C received a z-score of -1.0.
Using Figure above (see attchement), indicate each individual's sco

For a normally distributed test with a mean of 100 and standard deviation of 20:
a) What score would be associated with the 80th percentile?
b) What would the inter-quartile range be for the test?
c) What would be thepercentile rank of a score of 125?
Please give detailed notes explaining the steps required to answer ea

The weight for a group of 18 month-0ld girls are normally distributed with a mean of 24.4 pounds and a standard deviation of 2.6 pounds. Use the table to find the percentage of 18 month-old girls who weigh more than 27.8 pounds.
z-score1. 0.1, 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
Percentile 53.98, 57.9,

Given a mean of 60, with a standard deviation of 12, and with a raw score of 75, find
(a) the z-score,
(b) percentile rank,
(c) t-score,
(d) SAT score and
(e) Stanine score
Discuss why there are so many kinds of standardized scores.

Exercise 3.3
Student A and B took different statistics classes and 2 different finals. Student A had a score of 83 out of 100 and ranked 72 in his class. Student b scored 85 out of 100 and he ranked in the 70 percentile of his class. who performed better with respect to the rest of the students in the class, student a or b. e

22. The following frequency distribution presents a set of exam scores for a class of N=20 students.
x f cf c%
90-99 4 20 100
80-89 7 16 80
70-79 4 9 45
60-69 3 5 25
50-59 2 2 10
a. find the 30th percentile.
b. find the 88th percentile.
c. What is thepercentile rank for x=77?
d. What is thepercentile rank for x=9