The manager of an airline company claims that passengers spent not more than 15 minutes, on average to check-in using the self-check in kiosks at the airport. A random sample of 12 passengers gave a mean check-in time of 115 minutes with a standard deviation of 4.8 minutes. Test whether the manager's claim is true using 5% signicance level. Assume that the time needed to check in using the self-check in kiosks is normally distributed. (6 marks) A health survey reports that 38% of primary school children are overweight. A recent survey carried out on a random of 120 primary school children shows that 42 of them are overweight. Test whether there is suicient evidence to conclude that the proportion of prin'larj.r school children who is overweight has decreased? Use 10% signicance level. (6 marks} A restaurant owner wishes to determine if the type of meal a person selects is related to the gender of the individual. The table below shows the data obtained from a random sample of customers. T p of meal Test whether there is an association between type of meals selected and the gender of the customers at 5% signicance level. (12 marks) 4. Past records of a hypermarket shows that 35% of the customers paid by cash, 23% paid by using credit card, 20% paid by e-wallet, and 17%t paid by debit card. The table below shows the recent survey done on a random sample of 140 customers. Mode of payment Cash Credit e-Wallet Debit Card Card Test to determine whether there is a change in the distribution of the mode of payment among the customers at 10% signicance level. (9 marks}