5. In a population with m = 65 and s = 6, Fred is 1 ½ standard deviations above the mean, John's z-score = +2.0, and Frances' score is 90. Who scored the highest?

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5. In a population with m = 65 and s = 6, Fred is 1 ½ standard
deviations above the mean, John's z-score = +2.0, and
Frances' score is 90. Who scored the highest?
6. A normal distribution has a m = 30 and s=5. Find the scores
associated with the following regions:
a. the score needed to be in the top 40% of the
distribution
b. the score needed to be in the top 63% of the
distribution
c. the scores marking the middle 35% of the distribution
d. the score needed to be in the bottom 15% of the distribution
7. For a normal distribution with m = 30 and s = 4, find the
following values:
a. the 46th percentile
b. the 88th percentile
c. the percentile rank for X = 40
d. the percentile rank for X = 25
8. For a normal distribution with m = 50 and s = 6
a. What is the probability of obtaining a sample mean greater
than 49 for a sample of n = 9 scores?
b. What is the probability of obtaining a sample mean greater
than 54 for a sample of n = 4 scores?
9. A population consists of the following scores:
6 13 28
a. compute the m and s for the population
b. What is the probability of selecting a score greater than 6?
c. What is the probability of selecting a score less than 7?
AA
moodle.nsula.edu
Transcribed Image Text:5. In a population with m = 65 and s = 6, Fred is 1 ½ standard deviations above the mean, John's z-score = +2.0, and Frances' score is 90. Who scored the highest? 6. A normal distribution has a m = 30 and s=5. Find the scores associated with the following regions: a. the score needed to be in the top 40% of the distribution b. the score needed to be in the top 63% of the distribution c. the scores marking the middle 35% of the distribution d. the score needed to be in the bottom 15% of the distribution 7. For a normal distribution with m = 30 and s = 4, find the following values: a. the 46th percentile b. the 88th percentile c. the percentile rank for X = 40 d. the percentile rank for X = 25 8. For a normal distribution with m = 50 and s = 6 a. What is the probability of obtaining a sample mean greater than 49 for a sample of n = 9 scores? b. What is the probability of obtaining a sample mean greater than 54 for a sample of n = 4 scores? 9. A population consists of the following scores: 6 13 28 a. compute the m and s for the population b. What is the probability of selecting a score greater than 6? c. What is the probability of selecting a score less than 7? AA moodle.nsula.edu
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