Please show steps in the calculation and make sure you include checking conditions for using the CLT.

The Human Resources (HR) Department of a certain college has asked all employees who were employed in 2018 to fill out a survey in December 2018. Three items on the survey were: "Your dental expense in 2018", "Are you in a family with at least three other family members?", and "Your medical expenses in 2018". The manager of HR has randomly selected a sample of 169 surveys. Found that the sample average dental expense is $1600 per person with the sample standard deviation is $500. 70 of them are in a family of at least three other members. Also, the sample average medical expense is $2,450 per person and the sample standard deviation is $700.

1. The statistical inference will be made in parts (b), (c) and (d).Please clearly state the three parameters of interest.
2. Provide a 99% interval estimate of the average dental expenses per employee who was employed in the year 2018.please interpret your answer.
3. Using a 95% confidence interval, estimate the proportion of all employees who were employed in the year 2018 are in a family of at least three members. Interpret your answer.
4. As stated, the sample average medical expenses were $2,450. With your knowledge, the actual average price is more than $2,350. Obviously, 2,450 is more than 2,350 but this is only from a sample and is only $100 more, does it really mean that the actual average medical expenses are more than $2,350?Conduct a hypothesis test to prove the actual average medical expenses is more than $2,350 with a 5% level of significance. Usep-value to do conclusion. Interpret your answer.