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A company needs to downsize a department that has 30 people-12 women and 18 men. Ten people were laid off, and management says that the layoffs were done randomly. Of those laid off, 8 were women. A labor attorney is interested in the probability that 8 or more women would be laid off if the layoffs were actually done randomly. Compute the probability that 8 or more women would be laid off at random. Based on your answer, do you think that management really laid off these people randomly? Explain.
Compute the expected return and standard deviation of each of the two securities. Assume Miss Maple invested $2,500 in Security A and $3,500 in security B. Calculate the expected return and standard deviation for her portfolio.
What are the differences between probability distribution functions and probability density functions? Why do we care?
Do men and women have different beliefs on the ideal number of children in a family? Based on the following GSS2008 Data and the obtained t statistics, what would you conclude?
Derive the formula for the entropy of an ideal monoatomic gas using the microcanonical ensemble. This formula is known as the Sackur-Tetrode equation.
Test the null hypothesis that these Arizona students scored the same as the North Dakota students. (238 North Dakota students had a mean of 525)What t-statistic do you obtain?
The standard deviation is around 2.8. How many students should be sampled to be within 0.5 drink of population mean with 95% probability?
What the degree of freedom tells us? What are the degree of freedom for t- test, X^2-test, and for F-twst?
Find/discover an example of statistics in the news to discuss the following statement that represents one of the objectives of statistics analysis: "Statistics helps us make decisions based on data analysis.
Forecast quarterly demand where x = 0 in second quarter of last year. Quarterly seasonal factors are Q1=1.5, Q2=0.8, Q3=1.1, Q4=0.6. Determine the forecast for last quarter?
San francisco also reported that a scientific polling organization found that new zealanders favor the law by a margin of 56.4% to 39.3%. Explain why the two polls can give such widely differing results and which poll is likely to be more reliable..
A manufacturer claims that the mean lifetime, , of its light bulbs is 49 months. The standard deviation of these lifetimes is 9 months. Seventy bulbs are selected at random, and their mean lifetime is found to be 46 months.
Now suppose that a finished product is randomly selected. What is the probability that it is defective?
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