Question

A used car dealer says that the mean price of a​ three-year-old sports utility vehicle is ​$ 22 comma 000 22,000. You suspect this claim is incorrect and find that a random sample of 22 22 similar vehicles has a mean price of ​$ 22 comma 668 22,668 and a standard deviation of ​$ 1919 1919. Is there enough evidence to reject the claim at alpha α equals = 0.05 0.05​? Complete parts​ (a) through​ (e) below. Assume the population is normally distributed. ​(a) Write the claim mathematically and identify Upper H 0 H0 and Upper H Subscript a Ha. Which of the following correctly states Upper H 0 H0 and Upper H Subscript a Ha​? A. Upper H 0 H0​: mu μ equals =​$ 22 comma 000 22,000 Upper H Subscript a Ha​: mu μ less than <​$ 22 comma 000 22,000 B. Upper H 0 H0​: mu μ greater than or equals ≥​$ 22 comma 000 22,000 Upper H Subscript a Ha​: mu μ less than <​$ 22 comma 000 22,000 C. Upper H 0 H0​: mu μ equals =​$ 22 comma 000 22,000 Upper H Subscript a Ha​: mu μ greater than >​$ 22 comma 000 22,000 D. Upper H 0 H0​: mu μ not equals ≠​$ 22 comma 000 22,000 Upper H Subscript a Ha​: mu μ equals =​$ 22 comma 000 22,000 E. Upper H 0 H0​: mu μ equals =​$ 22 comma 000 22,000 Upper H Subscript a Ha​: mu μ not equals ≠​$ 22 comma 000 22,000 F. Upper H 0 H0​: mu μ greater than >​$ 22 comma 000 22,000 Upper H Subscript a Ha​: mu μ less than or equals ≤​$ 22 comma 000 22,000 ​(b) Find the critical​ value(s) and identify the rejection​ region(s). What​ is(are) the critical​ value(s), t 0 t0​? t 0 t0 equals = nothing ​(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. nothing less than nothing C. t less than < nothing D. t less than < nothing and t greater than > nothing ​(c) Find the standardized test statistic t. t equals = nothing ​(Round to two decimal places as​ needed.) ​(d) Decide whether to reject or fail to reject the null hypothesis.

Answer 1