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Use technology to help you test the claim about the population mean,

mu,

at the given level of significance,

alpha,

using the given sample statistics. Assume the population is normally distributed.

Claim:

mugreater than>12301230;

alphaequals=0.050.05;

sigmaequals=202.66202.66.

Sample statistics:

x overbarxequals=1261.611261.61,

nequals=275275

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

A.

Upper H 0H0:

mugreater than or equals12301230

Upper H Subscript aHa:

muless than<12301230

B.

Upper H 0H0:

mugreater than>1261.611261.61

Upper H Subscript aHa:

muless than or equals1261.611261.61

C.

Upper H 0H0:

mugreater than or equals1261.611261.61

Upper H Subscript aHa:

muless than<1261.611261.61

D.

Upper H 0H0:

mugreater than>12301230

Upper H Subscript aHa:

muless than or equals12301230

E.

Upper H 0H0:

muless than or equals1261.611261.61

Upper H Subscript aHa:

mugreater than>1261.611261.61

F.

Upper H 0H0:

muless than or equals12301230

Upper H Subscript aHa:

mugreater than>12301230

Calculate the standardized test statistic.

The standardized test statistic is

nothing .

(Round to two decimal places as needed.)

Determine the P-value.

Pequals=nothing

(Round to three decimal places as needed.)

Determine the outcome and conclusion of the test.

Reject

Fail to reject

Upper H 0H0.

At the

55%

significance level, there

is not

is

enough evidence to

reject

support

PLEASE HIGHLIGHT YOUR ANWSER FOR EACH QUESTION

the claim.