The college physical education department offered an advanced first aid course last summer. the scores on the comprehensive final exam were normally distributed, and the z scores for some of the students are shown below.
robert, 0.96
juan, 1.78
susan, –2.2
joel, 0.00
jan, –0.89
linda, 1.45
(a) which of these students scored above the mean? (select all that apply.)
jan
joel
juan
linda
robert
susan
(b) which of these students scored on the mean? (select all that apply.)
jan
joel
juan
linda
robert
susan
(c) which of these students scored below the mean? (select all that apply.)
jan
joel
juan
linda
robert
susan
(d) if the mean score was ? = 156 with standard deviation ? = 24, what was the final exam score for each student? (round your answers to the nearest whole number.)
robert-
joel-
jan-
juan-
susan-
linda-

a) Robert, Juan, linda

b) Joel

c) Susan, Jan

d)    165.4

       173.4

       134.5

       156

       147.3  

       170.2

Step-by-step explanation:

The standardized normal distribution  N (0,1)  that expresion stands for normal distribution with mean 0 and standard deviation 1, therefore all positive values are above 0 and all negativa values are below 0

The sample n is 6 then we should use t-student distribution, we calculate t statistic as follow

t = (x-μ)/εε        where standard error is   εε = σ/√6      εε = 9.795  since         σ =24

Robert

0.96 * 9.795  = x - 156                 ⇒     x = 165.4

1.78 * 9.795  = x  - 156                          x = 173.4

-2.2 * 9.795   = x - 156                          x = 134.5

0 * 9.795        = x- 156                          x= 156

-0.89* 9.795   = x -156                          x = 147.3

1.45 * 0.9795  = x -156                         x = 170.2

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

∡ eia and ∡ kij are congruent

step-by-step explanation: