T statistic - how to get the t-statistc.

Headhunters locate candidates to fill vacant senior positions in companies. These placement companies are typically paid a percentage of the salary of the filled position. A placement company that specializes in biostatistics is considering a move into information technology (IT). It earns a fee of 12% of the starting salary for each position it places. Its numerous placements in biostatistics had an average starting salary of $115,000. Its first 53 placements in IT had an average starting salary of $125,000 (s= $20,000) but each placement cost the company $1100 more than each placement in biostatistics. Should the firm continue its push into the IT industry? Complete parts (a) through (c) (a) State the null and alternative hypotheses. Describe the parameters. The null hypothesis is Ho: US$1100. The alternative hypothesis is Ha: H > $1100. The parameter u represents the difference in revenue between a placement in IT and a placement in biostatistics. (b) Describe Type I and Type II errors in this context. Concluding that the program will generate more revenue, when in fact the program will not generate more revenue, is a Type | error. Concluding that the program will not generate more revenue, when in fact the program will generate more revenue, is a Type II error. (c) Find the p-value of the test. Do the data supply enough evidence to reject the null hypothesis if a = 0.10? (Assume that the data meet the sample size condition.) Determine the test statistic. The test statistic is Type an integer or decimal rounded to two decimal places as needed.)