The Director of Career Services at a local university wishes to know whether there is a difference between the average post-graduation starting salaries of two undergraduate populations:Financemajors andInformation Systems("IS") majors.A random sample is drawn from the population of last year's graduating Finance majors, and a random sample is drawn from the population of last year's graduating Information Systems majors.The starting salary of each member of the two samples is provided in "Career Services" table below: each row (except the first) represents one person, Column A contains the starting salary of that person, and ColumnB contains the undergraduate major of that person.The first row contains the column labels.Using these data:

1. What is the null hypothesis (in words)?
2. What is the alternative hypothesis (in words)?
3. What statistical test are you using to test this hypothesis? (Be specific: a generic reference will not receive credit)
4. Does this problem call for adirectionaltest or anon-directionaltest?Why?
5. What is your best estimate of the difference (IS-Finance) in the two population means (accurate to the nearest dollar)?
6. What is the value of t_stat?
7. What is the value of t_critagainst which you compare t_stat?(Provide just one numeric value)
8. What p-value is associated with the hypothesis of interest? (Provide just one numeric value)
9. Based on these data, can the Director of Career Services be at least 95% sure that there is a difference in the post-graduation starting salaries of Finance vs. Information Systems majors?(Yes or No)Justify your answer.
10. What are thelowerandupperbounds of a 95% confidence interval around the difference (IS-Finance) in average salaries?

\f34 $68,768 Info Systems 35 $64,379 Finance 36 $61,462 Info Systems 37 $69,973 Info Systems 38 $61,811 Info Systems 39 $57,908 Info Systems 40 $68,627 Finance 41 $68,648 Finance 42 $62,161 Info Systems 43 $68,405 Finance 44 $65,467 Info Systems 45 $78,251 Info Systems 46 $43,586 Finance 47 $64,411 Info Systems 48 $77,970 Finance 49 $66,435 Info Systems 50 $60,626 Info Systems 51 $85,230 Info Systems 52 $64,023 Info Systems 53 $62,439 Info Systems 54 $65,402 Info Systems 55 $83,305 Info Systems 56 $68,724 Info Systems 57 $79,473 Info Systems 58 $68,012 Info Systems 59 $76,944 Info Systems 60 $62,203 Info Systems 61 $61,736 Info Systems 62 $73,978 Finance 63 $72,799 Finance 64 $72,240 Finance 65 $70,683 Info Systems 66 $63,335 Info Systems\fA B 100 $66,664 Finance 101 $57,138 Info Systems 102 $70,253 Finance 103 $80,247 Finance 104 $72,292 Finance 105 $61,182 Info Systems 106 $72,706 Info Systems 107 $65,718 Info Systems 108 $70,936 Info Systems 109 $71,636 Info Systems 110 $72,385 Info Systems 111 $70,348 Info Systems 112 $55,808 Info Systems 113 $65,614 Finance 114 $69,587 Finance 115 $67,000 Info Systems 116 $64,741 Finance 117 $58,902 Info Systems 118 $81,675 Info Systems 119 $58,089 Finance 120 $72,422 Finance 121 $61,597 Info Systems 122 $71,603 Finance 123 $63,907 Finance 124 $66,675 Info Systems 125 $64,819 Info Systems 126 $56,277 Info Systems 127 $80,285 Info Systems 128 $59,111 Info Systems 129 $68,918 Finance 130 $64,326 Finance 131 $75,562 Info Systems