How smart is your phone? A random sample of 10 Samsung Galaxy smartphones being sold over the Internet in 2013 had the following prices, in dollars: 169 385 329 269 149 135 249 349 299 249 Send data to Excel Assume the population standard deviation is 6 = 83. Perform the following. Part 1 of 3 V (a) Explain why it is necessary to check whether the population is approximately normal before constructing a confidence interval. It is necessary to check whether the population is approximately normal because the sample size is less than or equal to 30 Part 2 of 3 V (b) Following is a dotplot of these data. Is it reasonable to assume that the population is approximately normal? . . 100 150 200 250 300 350 400 It is reasonable to assume that the population is approximately normal. Part: 3 / 3 Part 3 of 3 (c) If appropriate, construct a 98% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013. Round your intermediate step to three decimal places. Round your answer to one decimal place. A 98% confidence interval for the mean price for all phones of this type being sold on the Internet in 2013 is 187.1