Calculating percentages You will be glven a series of questions regarding a normal distribution, you will...
You will be given a series of questions regarding a normal distribution, you will be asked to either determine the percentage above or below particular raw scores; or to calculate the raw score that will correspond to a particular percentage. You will be asked to calculate either raw scores or percentages. For each question write out your calculation, the appropriate Z score, what on the curve you should be shading, the exact percentage from the normal curve table and the...
Proportions (percentages) in a Z Distribution A large population of scores from a standardized test are normally distributed with a population mean (μ) of 50 and a standard deviation (σ) of 5. Because the scores are normally distributed, the whole population can be converted into a Z distribution. Because the Z distribution has symmetrical bell shape with known properties, it’s possible to mathematically figure out the percentage of scores within any specified area in the distribution. The Z table provides...
Suppose you are working with a data set in which the mean = 100, and the standard deviation = 20. What is the z-score for Jeff, who has a raw score of 85? What is the z-score for Ashley, who has a raw score of 125? What is the raw score for Vale, who has a z-score of -1.00? What is the raw score for Michael, who has a z-score of 2.00? What proportion of scores lie above Jeff’s...
(Multiple part question) The following normal curve represents scores from a population on a test of musical ability. The population mean of the test is µ=60. The population standard deviation of the test is σ=14. a. What proportion (not percentage) of people have scores above 69 (rounded to four decimals) given that a z score for 69 = 0.64? b. What proportion (not percentage) of people have scores below 43 (rounded to four decimals) given that a z score for...
In a normal distribution of = 50 and SD = 7: What is the score at the 75th percentile (hint: on the table, find the z-score at .750 and change back to a raw score)? Find the percent of cases scoring above 55. Between what scores to the middle 25% of the cases lie? Beyond what scores do the most extreme cases lie?
Among freshman at a certain university, scores on the Math SAT follow a normal curve, with an average of 500 and a standard deviation of 100. (a) What percentage of students scored above 680? (b) What score would a student have to earn in order to be at the 75th per- centile of the distribution? The 25th percentile? (c) What is the interquartile range for this data set?
X X A. B . A . ІшUUULU AJBott Аавьсс Аав Аавьсet Аавьсаба Аавьссро T Normal 1 No Spac. Heading 1 Heading 2 Title Subtitle Subtle Em... Emphasis Font Paragraph Styles 1. (10 points) The mean of the z distribution equals a. 0 CN b. 1 d. Depends on the raw scores. 2. (10 points) The proportion of scores less than 2 = 0.00 is a. 0.00 c. 1.00 b. 0.50 d 0.50 3. (10 points) Would you rather have...
(Normal distribution: Finding a raw score) Suppose that scores on a particular test are normally distributed with a mean of 110 and a standard deviation of 19. What is the minimum score needed to be in the top 10% of the scores on the test? Carry your intermediate computations to at least four decimal places, and round your answer to one decimal place.
Normal Probability Distribution Instructions: Read the scenario and answer the questions below. Round al probablities and proportions to 4 dedimal places The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. (Source:www.ets.org). A grad school requires that students score above 160 to be admitted. 1. What proportion of combined GRE scores can be expected...
Questions 3-5 do not require the use of SPSS. They are practice in using the normal curve table. Question 3 On a measure of anxiety, the mean is 79 and the standard deviation is 12. a) What are the 2-scores for the following raw scores? i. 91 ii. 68 iii. 103 b) What are the raw scores for the following Z-scores? i. -1.25 ii. 0.5 iii. 2 c) What percentage of scores are above a raw score of 91? HINT:...