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# (Solved): A used car dealer says that the mean price of a three-year-old sports utility vehicle is $$\ 23,0 ... A used car dealer says that the mean price of a three-year-old sports utility vehicle is \( \ 23,000$$. You suspect this claim is incorrect and find that a random sample of 24 similar vehicles has a mean price of $$\ 23,669$$ and a standard deviation of $$\ 1917$$. Is there enough evidence to reject the claim at $$\alpha=0.05$$ ? Complete parts (a) through (e) below. Assume the population is normally distributed. (a) Write the claim mathematically and identify $$\mathrm{H}_{0}$$ and $$\mathrm{H}_{\mathrm{a}}$$ : Which of the following correctly states $$\mathrm{H}_{0}$$ and $$\mathrm{H}_{\mathrm{a}}$$ ? A. $$H_{0}: \mu>\ 23,000$$ $$H_{a}: \mu \leq \ 23,000$$ B. $$H_{0}: \mu=\ 23,000$$ D. $$H_{0}: \mu=\ 23,000$$ $$H_{a}: \mu>\ 23,000$$ c. $$\mathrm{H}_{0}: \mu=\ 23,000$$ $$H_{a}: \mu \approx \ 23,000$$ E. $$H_{0}: \mu \geq \ 23,000$$ $$H_{a}: \mu<\ 23,000$$ $$H_{a}: \mu<\ 23,000$$ F. $$H_{0}: \mu \neq \ 23,000$$ Wriat is(are) the critical value(s), to? $$\mathrm{t}_{0}=$$ (Use a comma to separate answers as needed. Round to three decimal places as needed.) Determine the rejection region(s). Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) A. $$t<$$ C. $$\mathrm{t}<$$ and $$\mathrm{t}$$ B. $$t>$$ D. \(

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