1. assume that a set of raw scores are normally distributed with u = 120 and o= 40. describe
the sampling distribution of the mean for each of the following sample sizes (note: a normal
distribution can be described by its mean and standard deviation.)
a. n=25
b. n= 100
c. n= 400
2. what happens to the standard error of the mean as your sample size gets larger? why?
3. a certain odd member of the unh faculty wants to know if the average age of students at
unh is different from the national average of college students. somehow, he learns that the
average age of college students is normally distributed with u = 23 and o = 8. he samples the
ages of 36 unh students and finds an average age of 20.5. assume a = .05. state your null and
alternative hypotheses. is he right?
4. now assume he only wants to know if unh students are younger than the national average.
redo problem 3.

one of each metals

step-by-step explanation:

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your exact question is kind of difficult to understand, so maybe an example will explain what you're supposed to do? i'll work through the first problem on the worksheet.

suppose you have a tray of 652 brownies, and you have 5 friends that you want to feed without picking favorites. how many brownies can you dole out to each of your friends in equal amounts? how many will be left over for you to eat?

what you're doing here is finding a way to arrange the number 652 as the sum of integer multiple of 5 and some remainder:

here ("q" for quotient) is the number of brownies each of your friends get, and is the remainder. that's the basic idea behind division.

we break up the number 652 into parts so that the leading digit stands on its own:

652 = 600 + 52

first we check if it's possible to hand out exactly 100 brownies to each friend. with 5 friends, this means we want to know if we can take out 500 brownies from the tray. we can do this 1 time because we have 600 brownies to take from, and when we do that we're left with 100 + 52 brownies to divvy up. so we know that

652 = 1*500 + 152

next we want to know if it's possible to hand out exactly 10 brownies per friend. if we can, we have to remove 50 brownies from the tray each time until we can't. we have 152 brownies left, and we know that 3(50) = 150, so

152 = 3*50 + 2

now we have 2 brownies left in the tray. is it possible to hand 1 out to each of your 5 friends? no, you'd need a minimum of 5 brownies to do that. so the last 2 are yours.

putting everything together, we found that

652 = 1*500 + 3*50 + 2

and we can rearrange this to write

652 = 5*100 + 5*30 + 2

652 = 5(100 + 30) + 2

652 = 5*130 + 2

so and .

you might be more accustomed to the table depicting the algorithm. that's just a compact way of organizing what we've done above. you can consult the image i've attached below.