The mean annual income of certified welders is normally distributed with a mean of $50,000 and a population standard deviation of $2,000. A ship building association takes a sample of 30 certified welders and calculate a sample mean income of $48,900. The ship building association wishes to find out whether their welders earn more or less than $50,000 annually. The alternate hypothesis is that the mean is not $50,000. The level of significance is .10. What is the value of the test statistic?

The following cost data pertain to the operations of montgomery department stores, inc., for the month of july. corporate legal office salaries $ 75,300apparel department cost of sales"evendale store $ 97,200corporate headquarters building lease $ 50,300store manager's salary"evendale store $ 12,900apparel department sales commission"evendale store $ 11,550store utilities"evendale store $ 12,800apparel department manager's salary"evendale store $ 10,450central warehouse lease cost $ 18,600janitorial costs"evendale store $ 11,800 the evendale store is just one of many stores owned and operated by the company. the apparel department is one of many departments at the evendale store. the central warehouse serves all of the company's stores. required: 1. what is the total amount of the costs listed above that are direct costs of the apparel department? 2. what is the total amount of the costs listed above that are direct costs of the evendale store? 3. what is the total amount of the apparel department's direct costs that are also variable costs with respect to total departmental sales?

Interest is credited to a fixed annuity no lower than the variable contract rate contract guaranteed rate current rate of inflation prime rate

What are the period and vertical shift of the cosecant function below? period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up period: ; vertical shift: 1 unit up period: ; vertical shift: 2 units up?