Description
- For doing Problem 1 please use regular Stat Crunch
- For doing Problem 2 to 4 you need to go 1st groups
- then click Holland GMU STAT250 Spring 2020
- then click 2nd page for doing the DA3 problems, you can see the data sets for DA3 problems 2,3 & 4
For further information Please check the uploded file bellow....
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Explanation & Answer
Here we go
STAT 250 Spring 2020 Data Analysis Assignment 3
Elements of good technical writing:
Use complete and coherent sentences to answer the questions.
Graphs must be appropriately titled and should refer to the context of the question.
Graphical displays must include labels with units if appropriate for each axis.
Units should always be included when referring to numerical values.
When making a comparison you must use comparative language, such as “greater than”, “less
than”, or “about the same as.”
Ensure that all graphs and tables appear on one page and are not split across two pages.
Type all mathematical calculations when directed to compute an answer ‘by-hand.’
Pictures of actual handwritten work are not accepted on this assignment.
When writing mathematical expressions into your document you may use either an equation
editor or common shortcuts such as:
x can be written as sqrt(x), p̂ can be written as p-hat, x
can be written as x-bar.
1
Problem 1: Confidence Interval for Proportion of Households that have Amazon Prime (no
data set for this problem)
From a July 2019 survey of 889 randomly selected American households, it was discovered that
725 of them have an Amazon Prime membership.
a) Calculate the sample proportion of American households that have an Amazon Prime
membership. Round this value to four decimal places.
Answer
𝑥 725
𝑝̂ = =
= 0.8155
𝑛 889
b) Write one sentence each to check the three conditions of the Central Limit Theorem.
Show your work for the mathematical check needed to show a large sample size was
taken.
Answer
Central Limit Theorem for using Normal approximation to Proportion is:
For large sample size , sampling distribution of sample proportions is approximately
Normal with mean of sample proportions is:
𝜇𝑝̂ = 𝑝
and standard deviation of sample proportions is:
𝜇𝑝̂ = √
𝑝̂ ∗ (1 − 𝑝̂ )
𝑛
If the following conditions are satisfied:
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