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.

Anewspaper boy is trying to perfect his business in order to maximize the money he can save for a new car. daily paper sales are normally distributed, with a mean of 100 and standard deviation of 10. he sells papers for $0.50 and pays $0.30 for them. unsold papers are trashed with no salvage value. how many papers should he order each day and what % of the time will he experience a stockout? are there any drawbacks to the order size proposed and how could the boy address such issues?

Suppose that xtel currently is selling at $40 per share. you buy 500 shares using $15,000 of your own money, borrowing the remainder of the purchase price from your broker. the rate on the margin loan is 8%. a. what is the percentage increase in the net worth of your brokerage account if the price of xtel immediately changes to (a) $44; (b) $40; (c) $36? (leave no cells blank - be certain to enter "0" wherever required. negative values should be indicated by a minus sign. round your answers to 2 decimal places.) b. if the maintenance margin is 25%, how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.) c. how would your answer to requirement 2 would change if you had financed the initial purchase with only $10,000 of your own money? (round your answer to 2 decimal places.) d. what is the rate of return on your margined position (assuming again that you invest $15,000 of your own money) if xtel is selling after one year at (a) $44; (b) $40; (c) $36? (negative values should be indicated by a minus sign. round your answers to 2 decimal places.) e. continue to assume that a year has passed. how low can xtel’s price fall before you get a margin call? (round your answer to 2 decimal places.)

Rossdale co. stock currently sells for $68.91 per share and has a beta of 0.88. the market risk premium is 7.10 percent and the risk-free rate is 2.91 percent annually. the company just paid a dividend of $3.57 per share, which it has pledged to increase at an annual rate of 3.25 percent indefinitely. what is your best estimate of the company's cost of equity?