Consider the data set of the Quality of life and psychological adjustments. Cons
ID: 3206988 • Letter: C
Question
Consider the data set of the Quality of life and psychological adjustments. Consider the data set as a population data set (Not a sample).
Discuss and give the sampling distribution of x bar for a random sample of 16 participants selected from the given population. Assume the population is Normal.
Find the probability that x bar will be more than 8.2 AED [P (x bar 21.8 )]
Find the probability that X will be more than 8.2 AED [P (X 21.8 )]
Which result you trust more? explain
How Can I Upload Spss file?? there is no space to upload it to can you tell me how ?
Explanation / Answer
Hi,
From the dat aset can you find out:
Mean and standard deviation.?
For the sample, the mean will be the same as that of the population distribution. Standarde deviation will be the 1/sqrt(16) standard deviation of that of population
Then standardize xbar ( here 21.8) by the following to find the Z statistic: Z = X- Mean / (Standard deviation/sqrt(!6))
FOr the 2nd part you will do the same but stnadardize using Z statistic: Z = X- Mean / (Standard deviation)
Then go to Z tables and find the p value corresponding to the above Z value.
The result that can be trusted more is 2nd part, as that is the test statistic of the population.
You may upload a link of your SPSS file on any of the cloud sights and provide public access to the same.