An operations manager with general motors corporate offices wishes to determine if the true mean productivity of employees at its detroit, michigan plant is different from its opel/vauxhall plant in bochum, germany. for this analysis, productivity will be measured by the number of cars that employees assemble per day. random samples of employees in detroit and bochum are selected, and the productivity scores at each assembly plant are recorded. the following results are obtained. t-test: two-sample assuming equal 58.554.3variance4256observations131 3pooled variancexxhypothesized mean difference0dfxxt statp(t< =t) one-tailt critical one-tailp(t< =t) two-tailt critical two-tail1. using a significance level of 0.01, the critical value of the appropriate test statistic to conduct the test of hypothesis for the belief that there is a difference in the mean productivity is: 2. what is the pooled standard deviation? 3. assume that the p-value associated with the test statistic is 0.08. what is the conclusion of the hypothesis test? use the significance level from question above.

Ajustification for job training programs is that they improve worker productivity. suppose that you are asked to evaluate whether more job training makes workers more productive. however, rather than having data on individual workers, you have access to data on manufacturing firms in ohio. in particu- lar, for each firm, you have information on hours of job training per worker (training) and number of nondefective items produced per worker hour (output). (i) carefully state the ceteris paribus thought experiment underlying this policy question. (ii) does it seem likely that a firm’s decision to train its workers will be independent of worker characteristics? what are some of those measurable and unmeasurable worker characteristics? (iii) name a factor other than worker characteristics that can affect worker productivity. (iv) if you find a positive correlation between output and training, would you have convincingly established that job training makes workers more productive? explain.

Jose recently died with a probate estate of $900,000. he was predeceased by his wife, guadalupe, and his daughter, lucy. he has two surviving children, pete and fred. jose was also survived by eight grandchildren, pete’s three children, naomi, daniel, nick; fred’s three children, heather, chris and steve; and lucy’s two children, david and rachel. jose’s will states the following “i leave everything to my three children. if any of my children shall predecease me then i leave their share to their heirs, per stirpes.” which of the following statements is correct? (a) under jose’s will rachel will receive $150,000. (b) under jose’s will chris will receive $150,000. (c) under jose’s will nick will receive $100,000. (d) under jose’s will pete will receive $200,000.

Table 1. shows the expected demand for the dvd at different suggested donation levels, and they can act as a single-price monopolist if they choose to. thereceipts will be used to fund gstcg supplies for their data collection and conservation work. at the end of each sea turtle nesting season, any excess funds are donated by the gstcg to a local non-profit sea turtle research and rehabilitation facility. table 1 suggested anticipated total marginal profit donation per number of dvd revenue revenue dvd request requests $19.00 0 $15.00 2 $9.50 4 $7.75 10 $3.00 15 $0.00 20 a. complete table 1 by computing the total revenue, marginal revenue, and profit columns. b. the president wants the gstcg to provide videos to generate the most possible donations (total revenue). what price, if any, is the president of the gstcg favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. c. the education outreach committee wants the gstcg to provide videos to the highest possible number of people. what price, if any, is the educational outreach committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. d. the treasurer of the gstcg wants the dvd program to be as efficient as possible so that the marginal revenue equals marginal cost. what price, if any, is the treasurer favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer. e. the fundraising committee wants the dvd program to generate as much profit in donations as possible. what price, if any, is the fundraising committee favoring and how many people will receive the dvd if this becomes the price of the suggested donation? explain your answer.