A used car dealer says that the mean price of a three-year-old sports utility vehicle is $19,000. You suspect this claim is incorrect and find that a random sample of 25 similar vehicles has a mean price of $19,531 and a standard deviation of $1912. Is there enough evidence to reject the claim at a = 0.05? 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 Ho and Ha? O A. Ho: H#$19,000 B. Ho: μ2$19,000 Ha: H<$19,000 OC. Ho: H = $19,000 Ha:u<$19,000 Haiu=$19,000 O D. Ho: H>$19,000 O E. Ho: H= $19,000 OF. Ho: H= $19,000 Ha: us$19,000 Ha:H#$19,000 Hai H >$19,000 (b) Find the critical value(s) and identify the rejection region(s). What is(are) the critical value(s), to? to = (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) OA. O C. t< O D. t< and t>

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