What does it mean to say that the variable is normally distributed

[Anonymous]

Imagine that you are a researcher who has collected data from 5000 participants on a variable of interest that is likely to be normally distributed.

Describe the variable.

What does it mean to say that the variable is normally distributed?

In a normal distribution such as in this example you can define probability value for every score. Define probability value in your own words. How is a probability value of .05 in this example related to normal curve?

With the above thoughts in mind: a brief description of the variable and whether the scale of measurement is nominal, ordinal, interval, OR RATIO AND WHY. Explain what it means to say that this variable is normally distributed. Then define probability value in your own words and explain how a probability value of .05 in this example is related to the normal curve.

For a population with a mean of u=100 and a standard deviation of o=10 Find the score (X Value) that corresponds to each of the following scores:

Z= -1.00 Z= -0.50 Z= 2.00 Z= 0.70 Z= 1.50 Z= -1.50

A kindergarten class consist of 14 boys and 11

girls. If the teacher selects children from the class using random sampling:

1. What is the probability that the first child selected will be a girl?

2.If the teacher selects a random sample of n=3 children and the first two children are boys what is the probability that the third child selected will be a girl?

For a normal distribution identify the z score location that would separate the distribution into two sections so there is:

a. 70% in the body on the right hand side

b. 80% in the body on the right hand side

c. 75% in the body on the left hand side

d. 90% in the body on the left hand side

For a normal distribution, find the z score values that separate:

a. The middle 60% of the distribution from the 40% in the tails

b. The middle 70% of the distribution from the 30% in the tails

c. The middle 80% of the distribution from the 20% in the tails

d. The middle 90% of the distribution from the 10% in the tails

A normal distribution has a mean of u=80 and a standard deviation of o=10. For each of the following scores, indicate whether the body of the distribution is to the left or the right of the score, and find the proportion of the distribution in the body:

x=85

x=92

x=78

x=72

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