(2) You know that the average price that people pay for routine blood work is $75 per episode with a standard deviation of $15. You think that the lab down the street from your house is charging more than average. You take a systematic random sample by asking every 4^th person who exits the building how much they paid. You get a sample of 85 people and the average price they paid was $79.

a) What is your null hypothesis?

b)What is your alternative hypothesis?

c) Calculate a confidence interval for the population mean at a 95% confidence level. Round your answer to 2 decimal places since we are talking about money.

d) Interpret your confidence interval in context.

e) Use the confidence interval to test your hypothesis. Do you reject or fail to reject the null hypothesis? State your answer in context.