In: Statistics and Probability
A used car dealer says that the mean price of a three-year-old sports utility vehicle is $24,000.You suspect this claim is incorrect and find that a random sample of 23 similar vehicles has a mean price of $24,806 and a standard deviation of $1991. Is there enough evidence to reject the claim at α=0.10 Complete parts (a) through (e) below. Assume the population is normally distributed.
A- Write the claim mathematically and identify Upper H0 and Ha
b) Find the critical value(s) and identify the rejection region(s)
-What is(are) the critical value(s), t 0?
-Determine the rejection region(s)
(c) Find the standardized test statistic t.
(d) Decide whether to reject or fail to reject the null hypothesis.Why? (reject or fail)
(e) Interpret the decision in the context of the original claim (is or is not enough evidence)