Amarketing researcher wants to estimate the mean savings ($) realized by shopperswho showroom. showrooming is the practice of inspecting products in retail stores andthen purchasing the products online at a lower price. a random sample of 100 shopperswho recently purchased a consumer electronics item online after making a visit to aretail store yielded a mean savings of $58 and a standard deviation of $55.complete parts? (a) and? (b).a) construct a 95% confidence interval estimate for the mean savings for all showroomers who purchased a consumer electronics item. ) ) suppose the owners of a consumer electronics retailer wants to estimate the total value of lost sales attributed to the next 1,000 showroomers that enter their retail store. how are the results in? (a) useful in assisting the consumer electronics retailer in their? estimation?