Data were collected as part of a study of coffee consumption among graduate students. The following reflect cups per day consumed, 3,4,6,8,2,1,0,2. a. use the data analysis tool to compute the sample mean, standard deviation, and median. Use the QUARTILE function to compute the first and third quartiles. In a study of new antihypertensive medication, SBPs are measured at baseline (or the start of the study, before any treatment is administered). The data are as follows:

120 112 138 145 135 150 145 163

148 128 143 156 160 142 150

a) =AVERAGE(3,4,6,8,2,1,0,2)

=MEDIAN(3,4,6,8,2,1,0,2)

=STDEV.S(3,4,6,8,2,1,0,2)

And we got:

b) =QUARTILE(C1:C15,1)

=QUARTILE(C1:C15,3)

And we got:

Step-by-step explanation:

Part a

For this case we have the following data given:

3,4,6,8,2,1,0,2

The problem wants the mean , median and standard deviation from technology using the data anlysis toolpack, so for this case we can use the following codes on Excel:

=AVERAGE(3,4,6,8,2,1,0,2)

=MEDIAN(3,4,6,8,2,1,0,2)

=STDEV.S(3,4,6,8,2,1,0,2)

And we got:

Part b

For this case we have the following data:

20; 112; 138 ;145; 135; 150; 145; 163;  148; 128; 143; 156; 160; 142; 150

We put the data from Cell C1 to C15 and we use the following codes:

=QUARTILE(C1:C15,1)

=QUARTILE(C1:C15,3)

And we got:

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: