For a normal distribution with μ = 500 and o = 100, find the following values: a. What X value separates the highest 5% of the distribution from the rest of the scores? X=__________________.   Find the z-score for the sample mean for each of the following samples obtained from a population with u = 80 and o = 20. a. M = 82 for a sample of n = 4, Z=____________.   For a normal distribution with a mean of μ = 100 and a standard deviation of o = 15, find each of the following probabilities: b. p(X<80), p=__________

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Author:Carter
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Chapter10: Statistics
Section: Chapter Questions
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For a normal distribution with μ = 500 and o = 100, find the following values:
a. What X value separates the highest 5% of the distribution from the rest of the
scores? X=__________________.

 

Find the z-score for the sample mean for each of the following samples obtained from a population with u = 80 and o = 20.
a. M = 82 for a sample of n = 4, Z=____________.

 

For a normal distribution with a mean of μ = 100 and a standard deviation of o = 15, find each of the following probabilities:
b. p(X<80), p=__________

 

sample of n = 16 scores is selected from a normal population with u = 60 and o = 20. a. What is the probability that the sample mean will be greater than 50? Proportion=___________________.
b. What is the probability that the sample mean will be less than 56? Proportion=___________________.

 

Some researchers claim that herbal supplements such as ginseng or ginkgo biloba enhance human memory. To test this claim, a researcher selects a sample of n = 25 college students. Each student is given a ginkgo biloba supplement daily for six weeks and then all the participants are given a standardized memory test. For the population, scores on the test are normally distributed with u = 70 and o= 15. The sample of n = 25 students had a mean score of M = 75.
a. Use a two-tailed test with a = .05. Conduct the four steps for hypothesis testing and label each step: Step1, Step 2, Step 3, and Step 4.
b. Calculate Cohen’s d.
c. Are the data sufficient to conclude that there is a significant difference? Write your
answer in the form of a sentence.

 

 

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