how d you do longhand

A used car dealer says that the mean price of a three-year-old sports utility vehicle is $21,000. You suspect this claim is incorrect and find that a random sample of 21 similar vehicles has a mean price of $21,844 and a standard deviation of $1996. Is there enough evidence to reject the claim at a = 0.01? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify Ho and Ha- Which of the following correctly states H, and Ha? O A. Ho: H 2 $21,000 O B. Ho: H # $21,000 O C. Ho: H > $21,000 He : p $21,000