Math Problem Solver

3. How much does a sleeping bag cost? Let’s say you want a sleeping bag that should keep you warm

from 20F to 45F. A random sample of prices ($) for sleeping bags in this temperature range was takenfrom Backpacker Magazine: Gear Guide.80 90 100 120 75 37 30 23 100 110105 95 105 60 110 120 95 90 60 70Using the given data as a representative of the population of prices of all summer sleeping bags, find a90% confidence interval for the mean price 𝜇 of all summer sleeping bags. Assume the population isapproximately normal. Explain the meaning of the confidence interval you computed.4. Suppose that a market research firm is hired to estimate the percent of adults living in a large citywho have cell phones. Five hundred randomly selected adult residents in this city are surveyed todetermine whether they have cell phones. Of the 500 people sampled, 421 responded yes - they owncell phones. Using a 95% confidence level, compute a confidence interval estimate for the trueproportion of adult residents of this city who have cell phones.