A recent study of used cars has been conducted and simple random sample of 144 used Japanese Sedans sold Year 2019 was selected from the Lower Mainland. Found that the sample average selling price of these Japanese cars is $19,600 and the sample standard deviation is $3,000. 130 of them are equipped with a rear camera. Also, the sample average mileage driven is 65,000 km and the sample standard deviation is 600 km.

Statistical inference will the made for the questions below.

A) Please provide a 99% interval estimate of the average mileage driven of all the used Japanese cars from the Lower Mainland sold in Year 2019. Interpret your answer.

B) Using a 95% confidence interval, estimate the proportion of all used Japanese cars equipped with a rear camera sold in year 2019 in Lower Mainland. Interpret your answer.

C) As stated, the sample average selling price was $19,600. With your knowledge, the actual average price is less than $19,700. Obviously 19,600 is less than 19,700 but this is only from a sample and is only $100 less, does it really mean the actual average price is lower than 19,700.

Conduct a hypothesis test to prove the actual average price of all the used Japanese cars sold in year 2019 is less than $19,700 with a 5% level of significance. Use p- value to do conclusion. Interpret your answer.