If an entire population with µ = 40 and δ = 2 is transformed into z-scores, then the distribution of z-scores will have a mean of ________ and a standard deviation of ________ ?
a. Cannot say without knowing n
b. 0, 1
c. 1, 0
d. 40, 2
If an entire population with µ = 40 and δ = 2 is transformed into z-scores, then the distribution of z-scores will have a mean of 0 and a standard deviation of 1
A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution.
Option b) is correct
If an entire population with µ = 40 and δ = 2 is transformed into z-scores,...
A population with a mean of 80 and a standard deviation of 10 is transformed into z-scores. After the transformation, the population of z-scores: will have a standard deviation of ____________ will have a mean of ____________ will have what kind of shape relative to the original distribution? _________________________
Assume that all SAT scores are normally distributed with a mean µ = 1518 and a standard deviation σ = 325. If 100 SAT scores (n = 100) are randomly selected, find the probability that the scores will have an average less than 1500. TIP: Make the appropriate z-score conversion 1st, and then use Table A-2 (Table V) to find the answer. Assume that all SAT scores are normally distributed with a mean µ = 1518 and a standard deviation...
QUESTION 4 Scores in a population are normally distributed with a mean of 50 and a standard deviation of 2. What is the mean of the distribution of sample means for samples of size N = 25? a. 0.40 b. 2 c. 4.38 d. 50 QUESTION 5 Scores in a population are normally distributed with a mean of 50 and a standard deviation of 2. What is the standard deviation of the distribution of sample means for samples of size...
A sample of n = 16 scores is obtained from a population with µ = 50 and σ = 16. If the sample mean is M = 58, then what is the z-score for the sample mean? A. z=-2.00 B. z=+0.50 C. z=+2.00 D. z=+8.00
A population forms a normal distribution with a mean of µ = 120 and a standard deviation of σ = 14. If two scores were selected from this population, how much distance would you expect, on average, between the second score and the population mean? A sample of n = 20 scores from this population has a mean of M = 90, do you think this sample is relative typical or extreme to the population? Explain. With a large standard...
A distribution with µ = 55 and σ = 6 is being standardized so that the new mean and standard deviation will be µ = 50 and σ = 10. When the distribution is standardized, what value will be obtained for a score of X = 58 from the original distribution? a.58 b.55 c.61 d.53 On an exam with μ = 52, you have a score of X = 56. Which value for the standard deviation would give you the...
A normally-distributed population has a mean of µ = 50 and a standard deviation of σ = 12. What is the z-score corresponding to a sample with a mean of M = 54 for a sample of n = 16 scores?
For a population with µ = 64 and σ = 8, the distribution of sample means based on n = 100 will have a mean of ____ and a standard error of ____. a. 0, 1 b. 6.4, 1 c. 64, .8 d. 8, 8
can
you answer all three
There are a few z scores that we use often that are worth remembering. The upper 50%, and 97.5 percent of a normal distribution are cut off by z scores of O a. 0.0, and 1.96 Ob. 1.0, and 1.64 C. plus and minus 1.96 d..50, and .975 QUESTION 11 If we have data that have been sampled from a population that is normally distributed with a mean of 50 and a standard deviation of...
A normal distribution of scores in population has a mean of µ = 100 with σ = 20. A. What is the probability of randomly selecting a score greater than X = 110 from this population? B. If a sample of n = 25 scores is randomly selected from this population, what is the probability that the sample mean will be greater than M = 110?