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Assignment
1. For each variable in the data set provided, classify the variable as Nominal, Ordinal, Interval or Ratio. Explain why you made the decision for each.
2. Find the Mean, Standard Deviation, and Range for The Salary variable for the entire data set and for the male and females separately.
3. Find the first, second, and third quartiles and the interquartile range for the entire data set, the males and females separately. Compare the results of the male and females and comment on the results.
4. To test if the data is approximately normal, use the empirical rule for the normal distribution. Find the percentage of male salaries within one, two, and three standard deviation of the mean. Compare the percentages to those predicted by the empirical rule for the normal distribution. Repeat the calculations for the female salaries. Comment on the results.
Using the following 12 numbers (12, 34, 23, 10, 9, 45, 14, 34, 12, 13, 13, 35), calculate 1. the median 2. the mode 3. the mean
However, 21% of the students neither go to all the lectures nor buys the recommended textbook. What is the probability that a randomly chosen student who buys the textbook attends every lecture?
Sample from a normal population having a standard deviation of 0.04, what is the probability that the mean of a random sample of size 25 will be "off" by at most 0.02.
What is a test statistic and how is it related to a critical value in hypothesis testing? What is the critical region in hypothesis testing and why is it important?
Richie has just bought a small bag of Skittles.- What is the probability that Richie's 2 first skittles are both orange? that none of her first 3 candies is green?
Draw the OC curve. If the average number of defects increased by to 10 per tractor, what would the probability of detecting the shift in a control chart?
A sample of the math test scores of 35 fourth-graders has a mean of 82 with a standard deviation of 15.
Suppose a national polling agency conducted 100 polls in a year, using proper random sampling, and reported a 95% confidence interval for each poll.- About how many of those confidence intervals would we expect not to cover the true population valu..
What was the purpose of calculating a Cohen's d? When is a Cohen's d calculated? Interpret d=.90. What does it mean in this example?
Discuss the ability of the process to meet the customer's specifications. Also, if the customer seeks Six Sigma compliance, what are your recommendations?
Describe the relationship you expect to find between each variable and any interactions among the variables. You may wish to include a rationale for your hypothesis.
The number of senior citizens (65 and older) in the US in millions n years after 1990 can be estimated using the formula
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