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))"

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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