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Question: A recent article concerning bullish and bearish sentiment about the stock market reported that 41% of investors responding to an American Institute of Individual Investors (AAII) poll were bullish on the market and 26% were bearish ( USA Today. January II. 2010). The article also reported that the long-term average measure of bullishness is .39 or 39%. Sup-pose the AAII poll used a sample size of 450. Using .39 (the long-term average) as the population proportion of investors that are bullish, conduct a hypothesis test to determine if the current proportion of investors that are bullish is significantly greater than the long-term average proportion.
a. State the appropriate hypotheses for your significance test.
b. Use the sample results to compute the test statistic and the p-value.
c. Using α = .10, what is your conclusion?
Machine 1 is available for 150 hours, machine 2 for 240 hours, machine 3 for 200 hours, and machine 4 for 250 hours. The products also result in different profits, according to the machine they are produced on, because of time, waste and operating..
bivariate normal distribution - Find a constant a such that P(3X1 -X2
The triangle has the angles 45,45,90 with a base of length a. The dipole is located at the right base corner pointing in the -x direction.
Describe the statistical analysis. (HINT: This should either be a correlation/regression depending on your research question). What is your IV(s)? What is your DV? What level of measurement are your IV(s) and DV? What is your alpha level?
Let α = 3√2, β = √3, and γ = α + β. Let L be the field Q(α, β), and let K be the splitting field of the polynomial (x3 - 2)(x2 - 3) over Q. Determine the degrees [L: Q] and [K: Q]. Determine all automorphisms of the field L
An oil company purchased an option on land in Alaska. Preliminary geologic studies assigned the following prior probabilities.
Give optimal no-arbitrage bounds on a call option struck at 100. If the call option struck at 100 is worth 5, give optimal no-arbitrage bounds on a call option struck at 110.
Formulate a linear programming model that can be used to determine the floor space that should be devoted to each department in order to maximize profit contribution.
Perform the F-test and comment on the overall usefulness of the model Perform t-test for the statistical significance of individual coefficients.
Spangler was an employee in a bank's Demand Services Department. She suffered from dysthymia, a form of depression.
A typical recommendation from an inferential test is to either not Reject the null implying no statistical difference in the means or to reject implying there is a statistical difference in the means.
Prove that the covariance matrix of a random vector, if exists, is a non-negative definite matrix and write an appropriate general linear model equation and find a basis of linear functions that describes all estimable functions for this problem.
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