What would the length be?
1 answer:
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Answer:
Explained below.
Step-by-step explanation:
The human resource department at a certain company wants to conduct a survey regarding worker morale. The department has an alphabetical list of all 4,502 employees at the company and wants to conduct a systematic sample of size 50.
Systematic sampling is a kind of probability sampling method in which individuals from a larger population are nominated according to a random initial point and a static, periodic interval.
(a)
A sample of size 50.
Then the value of <em>k</em> will be:
Thus, the value of <em>k</em> is 90.
(b)
Label the employees from 1 to 4502.
And select every 90th employee.
So, the individuals who will be administered the survey are:
90th, 180th, 270th,...
Answer:
c 23 and 0.46 are statistics and 0.484 is a parameter
True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:
Where X represent the people with the characteristic desired in the random sample selected.
So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.
Step-by-step explanation:
Previous concepts
A parameter is any "numerical quantity that characterizes a given population or some aspect of it". For this case we are interested on proportions and we denote the population proportion by
A statistic is "used to estimate the value of a population parameter". In other words is just an estimation of the population parameter of interest. Four our case the sample proportion denoted by represent the statistic for this case.
Solution for the problem
a 0.46 and 0.484 are statistics
False. 0.484 is not an statistic since it's the outcome from the original population and would represent the parameter "proportion of people who vote for Gore"
b 50 and 23 are statistics and 0.484 is a parameter
False. The sample size is not an statistic is just a value selected in order to calculate the statistic.
c 23 and 0.46 are statistics and 0.484 is a parameter
True. For this case the value 0.46 represent t statistic since from the sample obtained we can calculate the sample proportion of people who voted for Gore like this:
Where X represent the people with the characteristic desired in the random sample selected.
So then we can say that 23 and 0.46 represent statistics since comes from the sample. And the value 0.484 is obtained from the population so then represent a parameter.
Hey there,
First, find the square root of the given equation.
Keep in mind that this is solved for k = 0 and 1.
Second, simplify.
Best of Luck!