(a) What is the mean of the distribution of sample means? %3D (b) What is the standard deviation of the distribution of sample means? (Report answer accurate to 2 decimal places.) = 'o (c) In a random sample of n=127, what is the probability that its sample mean is more than 170.4? Round to three decimal places.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
 alt="A population of values has a distribution with u =
random sample of size n = 127.
169.7 and o = 15.3. You intend to draw a
According to the Central Limit Theorem:
(a) What is the mean of the distribution of sample means?
(b) What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
(c) In a random sample of n=127, what is the probability that its sample mean is more than 170.4?
Round to three decimal places.
(d) In a random sample of n=127, what is the probability that its sample mean is less than 170.5?
Give your answer to three decimal places.
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