Question

# A group says that the mean daily lodging cost for a family traveling in Region 1...

A group says that the mean daily lodging cost for a family traveling in Region 1 is the same as in Region 2. The mean daily lodging cost for

32

families traveling in Region 1 is

​\$126

with a population standard deviation of

​\$2828.

The mean daily lodging cost for

thirty two

families traveling in Region 2 is

​\$121

with a population standard deviation of

​\$2121.

At

alpha equals 0.10

is there enough evidence to reject the​group's claim? Complete parts​ (a) through​ (e).

​(a) Identify the claim and state

Upper H 0H0

and

Upper H Subscript aHa.

What is the​ claim?

A) the mean daily lodging cost in region 1 is greater than region 2

b) the mean daily lodging cost in region 1 is less than region 2

c) the mean daily lodging costs in region 1 and region 2 are different

or they are equal which is option d

What are Upper H 0
and

Upper H Subscript aHa​?

(b) Find the critical​ value(s) and identify the rejection​ region(s).

The critical​ value(s) is/are

____?

What​ is/are the rejection​ region(s)?

​(c) Find the standardized test statistic z for

mu 1μ1minus−mu 2μ2.

zequals=____

​(Round to three decimal places as​ needed.)

​(d) Decide whether to reject or fail to reject the null hypothesis. Choose the correct answer below.

A) fail to reject h0.

or

B) reject H o

(e) Interpret the decision in the context of the original claim.

At the ____% significance level, there is (insufficient/sufficient)? evidence to (Reject/support)? the claim that the mean

daily lodging costs in region 1 is equal to, greater than, lesser than, or different than?