Test the claim below about the mean of the differences for a population of paired data at the level of significance

alpha.

Assume the samples are random and dependent, and the populations are normally distributed.

Claim:

mu Subscript ddless than<0;

alphaequals=0.01

Sample statistics:

d overbardequals=1.2

s Subscript dsdequals=3.5

nequals=18

Question content area bottom

Part 1

Identify the null and alternative hypotheses. Choose the correct answer below.

A.

Upper H 0H0:

mu Subscript ddequals=0

Upper H Subscript aHa:

mu Subscript ddnot equals0

B.

Upper H 0H0:

mu Subscript ddnot equals0

Upper H Subscript aHa:

mu Subscript ddequals=0

C.

Upper H 0H0:

mu Subscript ddless than<0

Upper H Subscript aHa:

mu Subscript ddgreater than or equals0

D.

Upper H 0H0:

mu Subscript ddgreater than>0

Upper H Subscript aHa:

mu Subscript ddless than or equals0

E.

Upper H 0H0:

mu Subscript ddgreater than or equals0

Upper H Subscript aHa:

mu Subscript ddless than<0

F.

Upper H 0H0:

mu Subscript ddless than or equals0

Upper H Subscript aHa:

mu Subscript ddgreater than>0

Part 2

The test statistic is

tequals=enter your response here.

(Round to two decimal places as needed.)

Part 3

The critical value(s) is(are)

t 0t0equals=enter your response here.

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

Part 4

Since the test statistic is

not in

in

the rejection region,

reject

fail to reject

the null hypothesis. There

is

is not

statistically significant evidence to support the claim.