Because of the expense involved, car crash tests often use small samples. In one study, five BMW cars are crashed under standard conditions, and the repair costs (in dollars) are used to test the claim that the mean repair cost for all BMW c is less than $3,000. The five sample repair costs have a mean of $2,835 with a standard deviation of $883. Use a 0.05 significance level to test the claim that the population of BMW repair costs has a mean less than $3,000. Use the t distribution. Complete parts (a) through (d). (a) Write the claim mathematically and identify Ho and Ha- Choose the correct answer below. O A. Ho: H = 3,000 (claim) O B. Ho: H 2 3,000 O C. Ho: us3,000 (claim) Ha: [ > 3,000 Ha: H 3,000 O D. Ho: H 3,000 (claim) Ha: H > 3,000 (claim) (b) Find the test statistic, t. O A. 2.093 O B. -2.093 O C. 418 O D. -418 (c) Decide whether to reject or fail to reject the null hypothesis. O A. Fail to Reject Ho O B. Reject Ho (d) Construct a 95% confidence interval estimate of the population mean. Use 2 decimal places for the margin of error. O A. (2669.94 , 3000.06) O B. (1738.79 , 3931.21) O C. (1993.1 , 3676.9) O D. (2020.20 , 3030.30)