Let Z_{n} denote the sample mean for a random sample of size n from
the standard normal distribution. For n = 1, 4 and 16
1. sketch the probability.distibution.function of each Z_{n} in the same coordinate system,
2. compute the quartiles of each Z_{n}
Solution
We begin our journey into inferential statistics. Most of the time the population
mean and population standard deviation are impossible or too expensive to determine exactly.
Two of the major tasks of a statistician is to get an approximation to the mean and analyze how
accurate the approximation is. The most common way of accomplishing this task is by using
sampling techniques. Out of the entire population the researcher obtains a (hopefully random)
sample from the population and uses the sample to make inferences about the population. From
the sample the statistician computes several numbers such as the sample size, the sample mean,
and the sample standard deviation. The numbers that are computed from the sample are called
statistics..
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Let Z_{n} denote the sample mean for a random sample of size n from.pdf
1. Let Z_{n} denote the sample mean for a random sample of size n from
the standard normal distribution. For n = 1, 4 and 16
1. sketch the probability.distibution.function of each Z_{n} in the same coordinate system,
2. compute the quartiles of each Z_{n}
Solution
We begin our journey into inferential statistics. Most of the time the population
mean and population standard deviation are impossible or too expensive to determine exactly.
Two of the major tasks of a statistician is to get an approximation to the mean and analyze how
accurate the approximation is. The most common way of accomplishing this task is by using
sampling techniques. Out of the entire population the researcher obtains a (hopefully random)
sample from the population and uses the sample to make inferences about the population. From
the sample the statistician computes several numbers such as the sample size, the sample mean,
and the sample standard deviation. The numbers that are computed from the sample are called
statistics.
