Preview

week 2 quiz

Satisfactory Essays
Open Document
Open Document
401 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
week 2 quiz
University of Phoenix Material

Week Four Quiz

1. Please indicate whether each of the statements below is true or false.
a. A normal distribution is any distribution that is not unusual. False
b. The graph of a normal distribution is bell-shaped. True
c. If a population has a normal distribution, the mean and the median are not equal. False
d. The graph of a normal distribution is symmetric. True

Using the 68-95-99.7 rule:
2. Assume that a set of test scores is normally distributed with a mean of 100 and a standard deviation of 20. Use the 68-95-99.7 rule to find the following quantities:
Suggest you make a drawing and label first…
a. Percentage of scores less than 100
34%+13.5%+2.35%+0.15%= 50%
b. Relative frequency of scores less than 120
.34+0.34+0.135+0.0235+0.0015 = .84
c. Percentage of scores less than 140
50%+47.5%=97.5%
d. Percentage of scores less than 80
50%-34%= 16%
e. Relative frequency of scores less than 60
50%-47.5%= 2.5%
f. Percentage of scores greater than 120
50%-34%= 16%

3. Assume the body temperatures of healthy adults are normally distributed with a mean of 98.20 °F and a standard deviation of 0.62 °F (based on data from the University of Maryland researchers).
a. If you have a body temperature of 99.00 °F, what is your percentile score? z(99) = (99-98.2)/0.62 = 1.2903
P(z < 1.2903) = normalcdf(-100,1.2903) = 0.9015
90.15 percentile
b. Convert 99.00 °F to a standard score (or a z-score). (99-98.2)/.62= 1.29
c. Is a body temperature of 99.00 °F unusual? Why or why not?
Not unusual, it is 1.29 standard deviation above the mean.
d. Fifty adults are randomly selected. What is the likelihood that the mean of their body temperatures is 97.98 °F or lower? Y ~ N(98.2 , 0.62 / root(50) ) P(Y < 97.98) = P(Z < (97.98 - 98.2) / 0.0876...) = P(Z < -2.509...) = 1 - phi(2.509...) = 1 - 0.99395 = 0.0060 = 6% correct
0.0065
e. A person’s body temperature is found to be

You May Also Find These Documents Helpful

  • Satisfactory Essays

    P ( Z > 2.47) = P ( Z < −2.47) = 0.0068 ≈ 0.007…

    • 567 Words
    • 5 Pages
    Satisfactory Essays
  • Good Essays

    Stats Final guide

    • 3002 Words
    • 13 Pages

    (2) Give that a sample of 25 had x = 75, and (x-x)² = 48 the mean and standard…

    • 3002 Words
    • 13 Pages
    Good Essays
  • Satisfactory Essays

    Exercise 20

    • 458 Words
    • 2 Pages

    7. Assuming that the distribution of scores for the postoperative CVLT Retrieval T scores is normal, the middle 68% of the patients had T scores between what two values?…

    • 458 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Module 3

    • 250 Words
    • 2 Pages

    7. Assuming that the distribution of scores for the postoperative CVLT Retrieval T scores is normal, the middle 68% of the patients had T scores between what two values?…

    • 250 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    HLT 362 Exercise 18

    • 352 Words
    • 2 Pages

    Assuming that the distribution of scores for the postoperative CVLT Retrieval T scores is normal, the middle 68% of the patients had T scores between what two values?…

    • 352 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Exercise Week 3

    • 550 Words
    • 2 Pages

    3. Explore the distribution of the Age variable via histogram and moments. Overlay a Normal curve on the…

    • 550 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Math 116

    • 1192 Words
    • 5 Pages

    The variable X is normally distributed. The mean is μ = 15.2 and the standard deviation is σ = 0.9.…

    • 1192 Words
    • 5 Pages
    Good Essays
  • Good Essays

    Adf-Realtes

    • 2143 Words
    • 18 Pages

    4. _____ A sample of n=25 observations is to be drawn from a population that is normally distributed with a mean of 4.0 and a standard deviation of 2.0. The probability that the sample mean of these observations will exceed 4.8 is (A) 0.3446 (B) 0.1287 (C) 0.2716 (D) 0.0228 (A) 0.1156 (B) 0.0718 (C) 0.3239 (D) 0.1635…

    • 2143 Words
    • 18 Pages
    Good Essays
  • Satisfactory Essays

    exercise 18

    • 496 Words
    • 3 Pages

    Assuming that the distribution for General Health Perceptions is normal, 95% of the females’ scores around the mean were between what values? Round your answer to two decimal places.…

    • 496 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Exercise 20 HLT-362V

    • 471 Words
    • 2 Pages

    7. Assuming that the distribution of scores for the postoperative CVLT Retrieval T scores is normal, the middle 68% of the patients had T scores between what two values?…

    • 471 Words
    • 2 Pages
    Satisfactory Essays
  • Satisfactory Essays

    STATS 14 15 16

    • 549 Words
    • 3 Pages

    A medical researcher treats 400 subjects with high cholesterol with a new drug. The average decrease in cholesterol level is = 90 after two months of taking the drug. Assume that the decrease in cholesterol after two months of taking the drug follows a Normal distribution, with unknown mean μ and standard deviation σ = 30.…

    • 549 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Exercise 18 Statistics

    • 509 Words
    • 4 Pages

    Q3. Assuming hat the distribution for General health Perceptions is normal, 95% of the female’s scores around the mean were between what values? Round your answer to two decimal places.…

    • 509 Words
    • 4 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Math Problems

    • 527 Words
    • 3 Pages

    2. Describe the transformations on the following graph of f (x)  log( x) . State the…

    • 527 Words
    • 3 Pages
    Satisfactory Essays
  • Satisfactory Essays

    Question

    • 567 Words
    • 8 Pages

    In a distribution for which the mean is 25 and the standard deviation is 5, what percentage of all scores occur at 30 or below?…

    • 567 Words
    • 8 Pages
    Satisfactory Essays
  • Powerful Essays

    Reconsider the population of midterm scores of five students given in example 1. Let say we draw all possible samples of three numbers each and compute the mean.…

    • 2936 Words
    • 12 Pages
    Powerful Essays