(Solved): Disk drives have been getting larger. Their capacity is now often given in terabytes (TB) where 1 ...

Disk drives have been getting larger. Their capacity is now often given in terabytes (TB) where 1 TB \( =1000 \) gigabytes, or about a trillion bytes. A study of external disk drives finds the data available below. The least squares line was found to be \( \widehat{\text { Price }}=20.38+58.887 \) Capacity with \( \mathrm{s}_{\mathrm{e}}=31.26 \) and \( \mathrm{SE}\left(\mathrm{b}_{1}\right)=8.4237 \). Complete parts a through c below. External Disk Drive Data a) Find the predicted Price of a 2 TB hard drive. The predicted Price of a 2 TB hard drive is \( \$ \). (Round to the nearest cent as needed.) b) Find the \( 95 \% \) confidence interval for the mean Price of all 2 TB disk drives. 1 (Round to two decimal places as needed. Do not include the \( \$ \) symbol in your answer.) c) Find the \( 95 \% \) prediction interval for the Price of a 2 TB hard drive. 11 (Round to two decimal places as needed. Do not include the \( \$ \) symbol in your answer.)