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In: Statistics and Probability

1. A researcher desires to know whether the typing speed of a secretary (in words per...

1. A researcher desires to know whether the typing speed of a secretary (in words per minute) is related to the time (in hours) that it takes the secretary to learn to use a new word processing program. The data are shown below. Speed 48 74 52 79 83 56 85 63 88 74 90 92 Time 7 4 8 3.5 2 6 2.3 5 2.1 4.5 1.9 1.5 First, make a scatter plot of the data. Next, find the correlation coefficient. Lastly, run a hypothesis test to determine if there is a linear relationship between speed and time at the 95% level of confidence.

2. For Problem 1, find the equation of the linear regression line and predict the time for a speed of 72 words per minute.

3. For Problem 1, find the 95% prediction interval for time when the speed is 72 words per minute.

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