In: Statistics and Probability
Problem1.
Are biomedical engineering salaries in Miami equal to those in Minnesota or is there a difference? A study was conducted looking at 40 staff engineering salaries from Miami and 45 staff engineering salaries in Minnesota:
Miami – sample size =40, average salary = 69,000, sample standard deviation = 1250
Minnesota – sample size = 45, average salary = 72,000, sample standard deviation = 1450.
At a 0.05 level of significance, can we conclude there is a difference in salaries based on the random sampled data? (assume that the standard deviations from the population although unknown are equal)
Use the six steps of hypothesis testing to make your decision.
6) Final conclusion: Yes we can conclude there is a difference in salaries based on the random sampled data.