The amount of caffeine consumed per day by children aged eight to twelve years old has a right
skewed distribution with mean μ = 110 mg and standard deviation σ = 30 mg. What is the shape
of the sampling distribution of x-bar for samples of size n = 36?
-same as the population distribution, namely right skewed
-less skewed than the population distribution, but not approximately Normal either
-approximately Normal
-none of the above correct answers approximately Normal
The shape of the sampling distribution of x-bar gets closer and closer to Normal as the sample
size increases. So, with a sample of size 36, the shape of the sampling distribution will be
approximately Normal according to the central limit theorem.
A parameter is a number describing the _________.
population
sample
sample size
none of the above correct answers population
A parameter is a number that describes the entire population.
, Which of the following is not true?
The sample mean is rarely equal to the population mean.
Most samples give the same value for the sample mean.
The sample mean is used to estimate the population mean.
The sample mean varies from sample to sample. correct answers Most samples give the same
value for the sample mean.
This fact is why we need to examine properties of the sample mean.
Which of the following is the statistical name for the distribution of comprehensive scores of all
students taking the ACT exam (a national college admissions exam) in 2010?
simple random sample
sampling distribution
distribution of data in a sample
population distribution correct answers population distribution
A population distribution is the distribution of values of a variable measured on individuals in a
population. In this case it is the distribution of the scores for all students who took the ACT exam
in 2010.