Final answer:
The regular price of the desk is approximately $422.73, calculated by dividing the sale price ($279) by 66%. To examine the claim about the standard deviation of a computer's price, calculate the actual standard deviation from the provided prices and compare it to the claim.
Step-by-step explanation:
To find the regular price of the desk that is being sold for 66% of its regular price, with a sale price of $279, we can set up the following equation:
0.66 × (Regular Price) = $279
Now, divide both sides by 0.66 to isolate the regular price:
Regular Price = $279 / 0.66
Calculating the division yields:
Regular Price = $422.73
So, the regular price of the desk is approximately $422.73.
As for the claim by the sales representative about the standard deviation of the computer price, we can use the sample prices provided to calculate the actual standard deviation. If this calculated standard deviation is greater than the claimed $25 and is statistically significant, we can argue that the actual standard deviation is larger than claimed. A practical conclusion might be whether the price you are able to find is reasonable compared to the average and variation you have calculated.