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In: Statistics and Probability

When computers with statistical software operate, the speed of the hard drive is very important in...

When computers with statistical software operate, the speed of the hard drive is very important in performing statistical tasks. Because of this, the brand of hard drive used is an important factor when large data sets are analyzed. The Acme Statistics Group randomly selected 10 computers and installed either Brand A or Brand B hard drives to the computers so that there were 5 of each type of hard drive installed. (Each hard drive was "rated" at the same data transfer speed.) The time required to perform a specific task was measured and the results are given in the table. Assume that the time to complete the task is known to be normally distributed. Please round to two decimal places.

Time (in seconds) to Complete Task

Brand A Hard Drive

  9.2  

  9.4  

  8.4  

  9.2  

  8.6  

Brand B Hard Drive

8.1

7.9

7.9

8.0

8.25

a. Based on the information above, which procedure would you recommend the company use: the two-sample independent t or the paired t? Justify your response with an appropriate argument.

b. Construct a 95% confidence interval for the difference between the mean times to complete the statistical analysis. (Hint: use the table for critical T & Z values.)

c. Based on your confidence interval for the difference between the mean times, is there sufficient evidence that the means are different for the two brands of hard drives? Provide appropriate statistical justification for your response.

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orchestra answered 1 year ago
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