Z-TEST

Assignment 2: Conducting a Z-Test

Assignment 2: Conducting a z-Test

Requirement No. 1

a = 0.05 means: P (type I error) = 0.05

In other words, the value of alpha shows the probability of rejecting Ho being Ho true is 0.05.

Requirement No. 2

HO: µ = 75

HA: µ ? 75

Requirement No. 3

The above mentioned hypothesis is two tailed, since the alternative hypothesis is: HA: µ ? 75

Requirement No. 4

x- bar

=

70

n

=

36

µ0:

=

75

t

=

(

70

-

75

)

(

12

)

SQRT (36 )

t

=

2.5

 P value

=

0.0173

Degrees of freedom (df)

=

n - 1

=

35

P value

=

0.0173

(

2

x

0.00863

)

P value

=

0.0173

(

0.01726

)

P value

=

0.000298598

Requirement No. 5

As the case given that is, if the obtained value of z was - 2.5;

Then, critical value is - 1.96 = - z ...