Asked by Sofia Mateeva on May 29, 2024
Verified
Suppose a random sample of 25 students is selected from a community college where the scores in the final exam (out of 125 points) are normally distributed, with mean equal to 112 and standard deviation equal to 12.
What is the mean of the sampling distribution of the sample mean 
?
______________
What is the standard deviation?
______________
Find the probability that 
exceeds 116.
______________
Find the probability that the sample mean deviates from the population mean 
= 112 by no more than 4.
______________
Sampling Distribution
The distribution of a statistic over many repeated samples drawn from the same population.
Standard Deviation
A tool for measuring the degree to which data points are scattered or spread apart.
Population Mean
The sum of all values in a population divided by the total number of values.
- Calculate and make clear the interpretations of average value and standard deviation in a sampling distribution.
- Deduce the probability of sample means with the understanding of normal distribution criteria.
- Initiate the central limit theorem to explore the behavior of sample means within a sampling distribution.
Verified Answer
KS
Learning Objectives
- Calculate and make clear the interpretations of average value and standard deviation in a sampling distribution.
- Deduce the probability of sample means with the understanding of normal distribution criteria.
- Initiate the central limit theorem to explore the behavior of sample means within a sampling distribution.
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