A used car dealer says that the mean price of a three-year-old sports utility vehicle is
$22 comma 00022,000.
You suspect this claim is incorrect and find that a random sample of
2222
similar vehicles has a mean price of
$22 comma 50422,504
and a standard deviation of
$19831983.
Is there enough evidence to reject the claim at
alphaαequals=0.050.05?
Complete parts (a) through (e) below. Assume the population is normally distributed.
Question content area bottom
Part 1
(a) Write the claim mathematically and identify
Upper H 0H0
and
Upper H Subscript aHa.
Which of the following correctly states
Upper H 0H0
and
Upper H Subscript aHa?
A.
Upper H 0H0:
muμgreater than>$22 comma 00022,000
Upper H Subscript aHa:
muμless than or equals≤$22 comma 00022,000
B.
Upper H 0H0:
muμequals=$22 comma 00022,000
Upper H Subscript aHa:
muμless than<$22 comma 00022,000
C.
Upper H 0H0:
muμnot equals≠$22 comma 00022,000
Upper H Subscript aHa:
muμequals=$22 comma 00022,000
D.
Upper H 0H0:
muμequals=$22 comma 00022,000
Upper H Subscript aHa:
muμgreater than>$22 comma 00022,000
E.
Upper H 0H0:
muμequals=$22 comma 00022,000
Upper H Subscript aHa:
muμnot equals≠$22 comma 00022,000
Your answer is correct.
F.
Upper H 0H0:
muμgreater than or equals≥$22 comma 00022,000
Upper H Subscript aHa:
muμless than<$22 comma 00022,000
Part 2
(b) Find the critical value(s) and identify the rejection region(s).
What is(are) the critical value(s),
t 0t0?
t 0t0equals=
enter your response here
(Use a comma to separate answers as needed. Round to three decimal places as needed.)