Newly purchased tires of a particular type are supposed to be filled to a pressure of 30 psi. Let μ denote the true average pressure. A test is to be carried out to decide whether μ differs from the target value. Determine the P-value for each of the following z test statistic values. (Round your answers to four decimal places.)

a)

b)

c)

d)

e)

Step-by-step explanation:

Newly purchased tires of a particular type are supposed to be filled to a pressure of 30 psi. Let m denote the true average pressure. A test is to be carried out to decide whether m differs from the target value. Determine the P-value for each of the following z test statistic values.

System of hypothesis

We need to conduct a hypothesis in order to check if the true mean is different from m :    

Null hypothesis:    

Alternative hypothesis:    

The statistic is given by

(1)    

a. 2.10

Since is a bilateral test the p value is given by:

And we can use the following excel code:

"=2*(1-NORM.DIST(2.1,0,1,TRUE))"

b. -1.75

Since is a bilateral test the p value is given by:

And we can use the following excel code:

"=2*(NORM.DIST(-1.75,0,1,TRUE))"

c. -.55

Since is a bilateral test the p value is given by:

And we can use the following excel code:

"=2*(NORM.DIST(-0.55,0,1,TRUE))"

d. 1.41

Since is a bilateral test the p value is given by:

And we can use the following excel code:

"=2*(1-NORM.DIST(1.41,0,1,TRUE))"

e. -5.3

Since is a bilateral test the p value is given by:

And we can use the following excel code:

"=2*(NORM.DIST(-5.3,0,1,TRUE))"