In: Statistics and Probability
You are working for the Red Sox and are asked to communicate the
batting averages to the managers / coaches.
What type of graph, chart would you use and why?
What method of sampling would you used if asked to find out what type of soft drinks/sodas high school students like? How would you collect the data?
You are an analyst in the medical field and your first assignment is in primary care. You want to see which is more extreme – a cholesterol level of 215 or weight of 275 pounds. How would you figure this out using statistics we have learned?
You are a marketing and research analyst for a bank. You want to
test the claim that the waiting time for a customer in line is less
than 3 minutes. How would you go about this using the steps in a
hypothesis test? You need to decide what your confidence level is,
sample size etc.
Explain in detail.
In a poll it shows that the candidate for city council in Los Angeles has 49% support plus or minus 3 percentage point margin of error. What does that mean?
Describe the role of statistics in Facebook.
A friend is taking statistics next semester. He has no idea what it
is and asks you. How would you explain what statistics and what it
is used for?
What is your major/area of study? Discuss how statistics relates to it and where you might see statistical analysis.
1. I can use histogram or box plot where i will plot the battling averages on Y axis against year on X axis to see the comparison and I can use line chart for same to see if the performance is increasing or decreasing.
2. I will use Random Sampling and will collect the data using survey where i will survey random students from different schools asking about preference under Multiple Choice Question.
3. I can study the impact of cholesterol and weight independently on any health parameter, Y(say age of death) and compare y values for both using t test or regression analysis.
4. I will collect the data for waiting time for a customer. Let n = 25 for t test (n<30)
Ho : The waiting time of a customer is not significantly different from 3 mins.
H1: The waiting time of a customer is less than 3 mins significantly.
t test = (xbar - 3)*sqrt(n)/Sx, where xbar is the average waiting time for my sample, Sx is the sample std. dev and n is the sample size.
At alpha = 0.05, i will compare t with t(24,0.05) and if t calculated > t critical. I will reject Ho.
5. In a poll it shows that the candidate for city council in Los Angeles has 49% support plus or minus 3 percentage point margin of error meaning that the support for the candidate will lie the CI (49-3,49+3) or (46,52)% or we can say that excluding all possibilities of error, the support will lie between 46% and 52%.
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