It is known that the standard deviation of the lives of these tubes is 150 150 hours. The company’s research department takes a sample of 100 100 such tubes and finds that the mean life of these tubes is 2250 2250 hours. What is the probability that this sample mean is within 25 25 hours of the mean life of all tubes produced by this company?

Mr. smith recently faced a choice between being (a) an economics profes-sor, which pays $60,000/yr, or (b) a safari leader, which pays $50,000/yr. after careful deliberation, smith took the safari job, but it was a close call. "for a dollar more," he said, "i'd have gone the other way."now smith's brother-in-law approaches him with a business proposition. the terms are as follows: - smith must resign his safari job to work full-time in his brother-in-law's business.- smith must give his brother-in-law an interest-free loan of $100,000, which will be repaid in full if and when smith leaves the business. (smith currently has much more than $100,000 in the the business will pay smith a salary of $70,000/yr. he will receive no other payment from the business.the interest rate is 10 percent per year. apart from salary considerations, smith feels that working in the business would be just as enjoyable as being an economics professor. for simplicity, assume there is no uncertainty regarding either smith's salary in the proposed business or the security of his monetary investment in it. should smith join his brother-in-law and, if so, how small would smith's salary from the business have to be to make it not worthwhile for him to join? if not, how large would smith's salary from the business have to be to make it worthwhile for him to join?

Selected t-account balances for bloomfield company are shown below as of january 31, which reflect its accounting adjustments. the firm uses a calendar-year accounting period, but prepares monthly accounting adjustments.suppliesjan. 31 bal. 1,800 1,800 jan. 31 bal.supplies expensejan. 31 bal. 1,920 1,148 jan. 31 bal.prepaid insurancejan. 31 bal. 1,148 1,148 jan. 31 bal.insurance expensejan. 31 bal. 164 164 jan. 31 bal.wages payablejan. 31 bal. 1,400 1,400 jan. 31 bal.wages expensejan. 31 bal. 6,400 6,400 jan. 31 bal.truckjan. 31 bal. 17,376 17,376 jan. 31 bal.accumulated depreciation -truckjan. 31 bal. 5,068 5,068 jan. 31 bal.a. if the amount in supplies expense represents the january 31 adjustment for the supplies used in january, and $1,240 worth of supplies were purchased during january, what was the january 1 beginning balance of supplies? $answerb. the amount in the insurance expense account represents the adjustment made at january 31 for january insurance expense. if the original insurance premium was for one year, what was the amount of the premium, and on what date did the insurance policy start? amount of the premium $answerthe policy began on answerjune 1july 1august 1september 1october 1november 1 of the previous year.c. if we assume that no beginning balance existed in either in either wage payable or wage expense on january 1, how much cash was paid as wages during january? $answerd. if the truck has a useful life of four years (or 48 months), what is the monthly amount of depreciation expense, and how many months has bloomfield owned the truck? answermonths

Summarize the specific methods used by interest groups in order to influence governmental decisions making in all three branches of government. provide at least two examples from each branch.