Statistics Question

Topic: Hypothesis Testing (Mean)

Question 1

Conestoga college recently released a flyer in an attempt to recruit accounting students for their business school.In the flyer, Conestoga college claims that the mean first year graduate salary of their accounting students is $50,000, whereas their biggest competition for accounting students, Fanshawe College, have a first year graduate salary of only $45,000.

After reading Conestoga's recruiting flyer, Fanshawe College executives believe that Conestoga falsely stated the graduate salaries and as a result have conducted their own study.Based on the sample below, at 1% level of significance is there evidence that Conestoga's first year accounting graduates salaries are higher than claimed?

Data

$35,250

$56,500

$49,750

$36,000

$36,750

$40,000

$55,250

$32,750

$59,250

$60,750

$43,000

$37,500

$33,750

$42,500

$56,250

$47,750

$56,750

$37,500

$39,750

$51,500

$32,750

$51,500

$30,500

$31,500

$41,500

$49,750

$43,000

$60,000

$33,250

$40,250

$52,750

$36,000

$55,000

$37,500

$44,750

$58,250

$35,500

$52,500

$49,250

$34,500

$56,250

$58,750

$35,500

$50,750

$40,250

$48,250

$31,250

$55,000

$44,250

$58,250

$53,500

$46,000

$48,750

$39,000

$45,500

$50,500

$44,250

$37,750

$43,000

$42,750

$45,500

$43,000

$40,250

$38,000

$41,750

$56,000

$60,750

$49,750

$33,250

$58,500

$38,500

$42,750

$47,500

$44,500

$39,750

$59,250

$51,750

$32,250

$41,500

$36,250

$30,250

$48,750

$56,750

$44,250

$45,750

$40,250

$36,750

$40,250

$60,750

$43,750

$47,000

$53,750

$54,500

$42,250

$55,250

$54,500

$54,000

$55,750

$58,750

$58,250

$59,500

$31,000

$50,500

$45,250

$51,750

$53,000

$56,250

$49,250

$56,250

$42,000

$44,750

$35,250

$52,750

$38,000

$59,750

$59,750

$47,500

$56,750

$38,500

$59,750

$37,000

$45,250

$39,500

$58,500

$50,750

$45,750

$52,000

$41,500

$31,250

$55,000

$40,000

$55,750

$41,750

$50,000

$42,250

$52,500

$37,500

$47,250

$57,500

$60,750

$37,000

$56,250

$55,750

$55,750

$48,500

$30,750

$36,250

$47,250

$38,500

$50,750

$34,750

$38,250

$53,250

$33,250

$43,250

$46,750

$44,500

$37,750

$48,250

$40,500

$49,500

$56,000

$57,500

$58,250

$35,000

$53,500

$60,000

$34,500

$47,750

$38,750

$53,500

$36,250

$47,250

$60,250

$36,500

$51,250

$59,750

$43,500

$42,250

$60,250

$30,000

$57,500

$58,500

$40,000

$33,000

$59,750

$33,750

$42,750

$49,750

$46,750

$48,500

$40,250

$52,500

$44,750

$49,750

$50,750

$31,750

$44,750

$51,750

$56,250

$49,000

$44,000

$45,000

$42,500

$37,500

$48,250

$46,000

$41,750

$47,500

$59,500

$50,500

$56,250

$34,000

$31,250

$46,500

$40,500

$49,000

$57,250

$45,750

$37,500