Consider the hypotheses shown below. Given that x overbarxequals=5656, sigmaequa

ID: 3225794 • Letter: C

Question

Consider the hypotheses shown below. Given that

x overbarxequals=5656,

sigmaequals=1111,

nequals=3737,

alphaequals=0.010.01,

complete parts a and b.

Upper H 0H0:

muless than or equals5454

Upper H 1H1:

mugreater than>5454

a. What conclusion should be drawn?

b. Determine the p-value for this test.

a. The z-test statistic is

nothing.

(Round to two decimal places as needed.)

The critical z-score(s) is(are)

nothing.

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

Because the test statistic

is greater than the critical value,

is less than the critical value,

falls within the critical values,

does not fall within the critical values,

do not reject

reject

the null hypothesis.b. The p-value is

nothing.

(Round to three decimal places as needed.)

here std error =std deviation/(n)1/2 =1.8084

hence test stat z=(X-mean)/std error =(56-54)/1.8084 =1.1060

critical z score for 0.01 level =2.3263

Because the test statistic is less than the critical value do not reject the null hypothesis

p value =0.1344