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An engineer believes that the number of defects on a product he is working on has the Poisson pmf.  He collects a sample of 25 and notes the number of defects on each product.  The sorted data are 0, 0, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4.  Perform a Chi-Square Goodness of Fit test on these data.  Take all intermediate computations to four decimal places.  Under the null hypothesis, what is the expected number of products out of the 25 sampled that would have 3 defects?  Answer to two decimal places. 

Match the four V’s of big data to what best describes them.

When the expected inflation rate increases, the real cost of borrowing  [blank] and bond supply  [blank], everything else held constant.

A test of hypothesis on the slope in a simple linear regression application will have the same p-value as a test of hypothesis on the ________________ between the dependent variable (Y) and independent variable (X).  Select the best answer.

The following are reasons why the United States is highly polarized today (contributing factors). Select all that apply. 

Everything else held constant, an increase in the cost of production  [blank] aggregate  [blank].

If housing prices are expected to increase, then, other things equal, the demand for houses will  [blank] and that of Treasury bills will  [blank].

When the Federal Reserve extends a discount loan to a bank, the monetary base [blank] and reserves [blank].

If bonds with different maturities are perfect substitutes and bond markets are in equilibrium then the [blank] on these bonds must be equal.

Tess wishes to borrow funds to start a business. She knows more about her ability to repay than the lender of the funds. This type of asymmetric information causes the [blank] problem.