One of the advances that have helped to alleviate carpal tunnel syndrome is ergonomic keyboards. The ergonomic keyboards may also increase typing speed.

Ten administrative assistants were chosen to type on both standard and ergonomic keyboards. The resulting typing speeds follow:

Ergonomic 69 80 60 71 73 64 63 70 63 74 Standard 70 68 54 56 58 64 62 51 64 53

a. Produce a scatter plot of the typing speeds of administrative assistants using ergonomic and standard keyboards. Does there appear to be a linear relationship between these two variables? Explain your response.

b. Calculate the correlation coefficient of the typing speeds of administrative assistants using ergonomic and standard keyboards.

c. Conduct a hypothesis test to determine if a positive correlation exists between the typing speeds of administrative assistants using ergonomic and standard keyboards. Use a significance level of 0.05.