Final answer:
The original price of the suit before the discount was $675. A statistical test such as a one-sample t-test is necessary to compare the standard deviation of computer prices against the manufacturer's claim. If the actual standard deviation is larger, it implies more price variation online.
Step-by-step explanation:
The student is asking a question related to percentage discount and original pricing, which falls under the category of Mathematics, specifically in a High School level algebra or business math class. To determine the original price of the suit, we can use the following formula where sale price = original price - (original price * discount percentage):
Sale Price = Original Price - (Original Price * 0.32)
Given that the sale price is $459, and the discount is 32%, we can rearrange the formula to solve for the original price:
$459 = Original Price - (Original Price * 0.32)
$459 = Original Price * (1 - 0.32)
$459 = Original Price * 0.68
Original Price = $459 / 0.68
Original Price = $675
Therefore, the regular price of the suit before the 32% discount was $675.
Regarding the standard deviation of computer pricing found online, one would need to calculate the standard deviation of the provided prices and compare it to the manufacturer's claimed deviation using a hypothesis test, specifically a one-sample t-test given the small sample size, at the 5 percent significance level to statistically argue if the standard deviation is indeed larger than what the manufacturer stated. As a potential buyer, if the test concludes that the standard deviation is larger, it suggests that there is more variation in the prices found online than the manufacturer suggests, which could inform your purchasing decision.