QUESTION FOUR a. Tessy's Restaurant has commissioned by a County government to supply lunch to a selected group of street families. The restaurant has been averaging of 60 lunch packets per day. Because of the construction of new office complexes, it expects to increase these packages so that it can feed at least 70 families. During the first 10 days after the occupation of their complexes, the daily lunch packages were: 69, 65, 76, 75, 68, 64, 68, 69, 64 and 72. i. Test the hypothesis that the lunch packages have increased at the 0.01 level of significance then write 99% confidence interval estimate of the mean. b. A college conducts both face to face and online classes that are intended to be identical. Given below is the distribution of the in terms of marks scored in a statistics examination for one of the groups. On-line Class 0 - 10 10 - 20 20-30 30-40 40-50 50-60 60 - 70 No. of Students 12 14 16 22 10 6 4 i. Test the hypothesis that this group has been drawn from a population whose mean mark is 35. ii. Would the result in (i) above change if the 0.01 level of significance was used instead. iii. Then write a 95% confidence interval estimate of the mean.