Math 54 Final Exam Formula Sheet-4.pdf               

A lottery offers one $1500 prize, two $1000 prize, five $500 prizes and ten $100 prizes. Ten thousand tickets are sold at $5 each. If a person buys one ticket, find his/her expected value. 

Weights (kg) of poplar trees were obtained from trees planted in a rich and moist region. The trees were given different treatments shown below. Use a 0.01 significance level to test the claim that at least one of the three treatment categories yields poplar trees with a different mean weight. Assume that all populations are normally distributed. No Treatment:        1.25            0.97              1.39             0.87            1.34           Fertilizer:                1.04            0.85              0.57             0.63            0.78           Irrigation:                0.47           0.79              0.13             0.83            0.85             a) State the null hypothesis and the alternative hypothesis. H0: [null] H1: [alternative] b) Find the test statistic. Round to 3 decimal places.  [teststat] c) Find the P-value. Round to 4 decimal places.  [pvalue] d) State the conclusion. [Answer1] H0. There [Answer2] sufficient evidence to conclude that at least one of the three treatment categories yields poplar trees with a different mean weight.

According to a study, in a random sample of 450 residents in a large city, 40% of them support the idea of Universal Basic Income.  Use a 0.05 significance level to test the claim that less than 50% of residents in the city support the idea of Universal Basic Income.  a) State the null and alternative hypotheses symbolically.  b) Check if all 3 requirements are satisfied. You must verify the requirements learned in class.  c) Compute the test statistic. (Round to three decimal places.) d) Find the P-value. (Round to four decimal places.) e) State the conclusion for the test (Reject H0 or Fail to reject H0).  f) State the conclusion in context of the problem.  For each question, show your work in the answer box below. For the test statistic and P-value, if you used a calculator function, state which one and write what you typed in your calculator to get your answer. 

In a random sample of 19 dog owners enrolled in obedience training, it was found that the mean amount of money spent per owner was $145.89 per class and the standard deviation of the amount spent per owner was $15.88. Construct a 99% confidence interval for the population standard deviation of the amount spent per owner for an obedience class.

Determine the level of measurement of the variable below.  An evaluation received by a physics student (excellent, good, satisfactory, or poor)

Select one of the multiple choice questions you answered for this exam.  List the number (1-34) of that question here, and then give a brief explanation for your answer choice. 

A national retailer allows each regional manager to select suppliers independently. Several regions purchase the same products from different vendors at different prices, and the company loses the bargaining power it could obtain through company-wide purchasing. Which organizational change would most directly address this problem?

The CEO of Meridian Technologies knows that a newly developed product has serious technical problems. Investors do not know about the problems because the CEO has much greater access to internal information. The CEO promotes the product aggressively to raise the company’s stock price before exercising personal stock options. Which concept best explains the CEO’s ability to pursue this action?

Why may inside directors be less effective than outside directors in monitoring a CEO?