1. A recent survey stated that Filipinos send an average of 1500 messages per month. To verify this claim, a researcher surveyed 25 people at random and found out that the average number of messages they send per month is 1486 with standard deviation of 54. At a = 0.05, is there enough evidence to support the survey's claim? 2. It is claimed that the average number of vehicles using a mall's parking lot each day is 244 vehicles. A student taking up statistics recorded the number of vehicles using the parking lot over a two-week period. The number of vehicles is shown below. 230 244 233 240 249 238 247 235 243 248 235 254 250 249 Do the collected data present sufficient evidence to indicate that the average number of vehicles using the parking lot is different from 244? Use 0.01 level of significance and assume that the population is normal. 3. A group of marketing students conducted a survey to compare the weekly sales of the two vendors of beauty products in a market. The results of the survey were as follows: Vendor A Vendor B Php 345 Php 450 Php 450 Php 760 Php 750 Php 980 Php 800 Php 658 Php 675 Php 455 Php 1,250 Php 350 Php 968 Php 925 Is there is a significant difference between the mean sales of the two vendors? Test the claim at 0.01 level of significance. 4. A Senior High School teacher conducted an examination before and after he discussed the topic Binomial Distribution. Using the given data below, test the claim at 0.05 level of significance if the conducted discussion was effective. Student 1 2 3 4 5 6 7 8 9 10 11 12 Score before 40 42 20 46 20 25 15 20 40 35 40 the Discussion 21 Score after the 45 45 28 50 33 42 19 25 38 40 45 39 Discussion