please answer a b and c Question 4A family software company operating in 4 cities in theUK would like to automate customer service and reduce repeat calls in their callcentres. Hence, they would like to fully implement AI-powered virtual agents in orderto reduce costs as well as enhance the customer service performance. In order to fullyunderstand consumer acceptance of this new technology, they collected data from apilot survey during the last 90 days on the number of complaints received aftercontacting customer service and being served either by a virtual agent or not (e.g.served by a human agent or directed to the FAQs (Frequently Asked Questions) onlinepage, among others). The relevant data are presented in the following tables below:Number of complaints received when being served by a Virtual Agent Observed Frequency3511221334567891011 or more than 110722N COO5:34567891011 or more than 1111NONumber of complaints received when not being served by a Virtual Agent Observed Frequency01219141591464223 20(a) Estimate the average number of complaints received per day in the two differenttypes of customer service where a customer is served by a Virtual Agent or notserved by a Virtual Agent.(b) Test the hypothesis that the average number of complaints received per day whenserved by a Virtual agent is the same as the number of complaints received perday after not being served by a Virtual Agent at the 5% significance level.(c) Find an approximation to the 95% confidence interval for the difference of theaverage number of complaints received in the two types of customer service (withor without Virtual Agent).

Let the random variable X denotes the number of complaints received when being served by a virtual…

Question 4 A family software company operating in 4 cities in the UK would like to automate customer service and reduce repeat calls in their call centres. Hence, they would like to fully implement AI-powered virtual agents in order to reduce costs as well as enhance the customer service performance. In order to fully understand consumer acceptance of this new technology, they collected data from a pilot survey during the last 90 days on the number of complaints received after contacting customer service and being served either by a virtual agent or not (e.g. served by a human agent or directed to the FAQs (Frequently Asked Questions) online page, among others). The relevant data are presented in the following tables below: Number of complaints received when being served by a Virtual Agent Observed Frequency