The director of the wellness center is concerned that the number of hours of sleep that students who livc in thc dorms arc gctting is less than other university students across the nation. bascd on rescarch from the national council of student wcllncss organizations, the dircctor knows that the mean number of hours of sleep each night for the population of university students in the usa is 6.7 hours with a standard deviation of 1.2 hours the director took a random sample of 50 students who live in the dorms and had them record how many hours of sleep thcy got on a randomly selected night. the results of that sample are recorded in the column titled "hours of sleep during fall semester". use this data to answer the following questions.

a) create a histogram and a normal probability plot (qq plot in statcrunch) of the sample data. does the data appear to have come from a normal distribution? use the attributes ol the 2 graphs to support your conclusion. include the graphs with your answer
b) using the information from the national council of student wellness organizations, calculate p75, the number of hours of sleep that 75% ofthe university students got less than in a night. you can find this value using the normal distribution
c) using the inlormation irom the national council of student wellness organizations calculate the probability that a random sample of 50 students would have a mean number of hours of sleep less than 6.3, the mean of the sample? you can find this probability using the normal distribution and central limit theorem if applicable

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.