Assessment Solve the following and decide whether to reject or not to reject the claims. 1. The owner of the factory that sells a particular bottled fruit juice claimed that the average capacity of their product is 250 ml. To test the claim, a consumer group gets a sample of 100 such bottles, calculates the capacity of each bottle, and then finds the mean capacity to be 248 ml. The standard deviation s is 5 ml. Use a = 0.03. Will you reject or not to reject the claim. 2. The average Senior High School annual cost of tuition fee for all private schools last year was Php 46,300. A random sample costs this year for 45 private schools indicated that the sample mean was Php 47,800 and a sample standard deviation was Php 5,600. At 0. 10 level of significance, is there sufficient evidence to conclude that the cost has increased? Will you reject or not to reject the Ho? 3. A fitness center claims that its members lose an average of 15 pounds or more the first month after joining the center. An independent agency that wanted to check this claim took a sample of 45 members and found that they lost an average of 13 pounds within the first month with standard deviation of 3 pounds. What will your decision be if a = 0.05? 4. A consumer advocacy group suspects that a local supermarket's 750 grams of sugar actual weight is 750 grams. The group took a random sample of 20 such packages, weighed each one, and found the mean weight for the sample to be 746 grams with a standard deviation of 8 grams. Using 10% significance level, would you conclude that the mean weight is less than 750 grams? Will you reject or not to reject the claim? 5. A survey in one of the regions in the Philippines finds the average commute time of employees on one way is 45 minutes. One of the groups of chambers of commerce in the particular region feels that in their city it is greater and want to publicize this. They randomly selected 28 commuters and found the average is 50 minutes with standard deviation of 6 minutes. At a = 0.05, will you reject or not to reject the claim