One of the advances that have helped to diminish 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 speed 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 speed of administrative assistants using ergonomic and standard keyboards.

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