Q1: What is the standard error of the mean? Q2: How would the standard error change if the sample size had been 100 instead of 35? (Assume that the sample standard deviation did not change.) Q3: Test the marketing manager's claim, and provide your conclusion about whether or not the new plan increased the number of people staying at the hotel. Note: The population standard deviation o = $2 is assumed known, and the level of significance is a = .05."The Comfortable Suites" hotel has an average of 300 visitors staying at its facilities per week. The marketing manager introduced a new marketing plan that is aimed at increasing the number of people staying at its facilities per week. A survey was conducted over the last 35 weeks to test the marketing manager's claim that the new plan increased the number of people staying at the hotel. The data provided indicate the number of people that stayed at the hotel per week, for the last 35 weeks. Note: Use Excel and the data provided to answer all of the questions. Number of Week People Staying at the Hotel 200 300 380 250 350 320 300 220 220 10 420 11 340 12 140 13 440 14 320 15 440 16 290 17 290 18 480 19 350 20 440 21 300 2.2 110 23 260 24 320 25 480 26 310 27 280 28 400 29 410 30 390 31 420 32 260 33 290 34 320 35 440