You will be given a series of questions regarding a normal distribution, you will be asked...
Calculating percentages
You will be glven a series of questions regarding a normal distribution, you will be asked to elther 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 questign write out your calculation, the appropriate Z score, what on the curve you should be shading, the exact percentage from the normal curve table...
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?
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...
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...
(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...
(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...
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...
What proportion of a normal distribution is located between each of the following Z-score boundaries? a. z= -0.50 and z= +0.50 b. z=-0.90 and z= +0.90 c. z=-1.50 and z= 1.50 For a normal distribution with a mean of μ = 80 and a standard deviation of σ= 20, find the proportion of the population corresponding to each of the following. a. Scores greater than 85. b. Scores less than 100. c. Scores between 70 and 90. IQ test scores are standardized to produce a normal distribution with...