Use the Normal model N("1124,60") for the weights of steers.
a) What weight represents the 68th percentile?
b) What weight represents the 91st percentile?
c) What's the IQR of the weights of these steers?

a) The weight representing the 68th percentile is nothing pounds. (Round to the nearest whole number as needed.)
b) The weight representing the 91st percentile is nothing pounds. (Round to the nearest whole number as needed.)
c) The IQR for the weights of these steers is nothing pounds. (Round to the nearest whole number as needed.)

a) The weight representing the 68th percentile is 1152 pounds.

b) The weight representing the 91st percentile is 1204 pounds.

c) The IQR for the weights of these steers is 81 pounds.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean and standard deviation , the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

a) What weight represents the 68th percentile?

Value of X when Z has a pvalue of 0.68. So X when Z = 0.47.

b) What weight represents the 91st percentile?

Value of X when Z has a pvalue of 0.91. So X when Z = 1.34.

c) What's the IQR of the weights of these steers?

The IQR is the 75th percentile subtracted by the 25th percentile.

75th percentile

Value of X when Z has a pvalue of 0.75. So X when Z = 0.675.

25th percentile

Value of X when Z has a pvalue of 0.75. So X when Z = -0.675.

IQR

1164.5 - 1083.5 = 81

number one is the correct answer

step-by-step explanation: dogs and cats are mentioned, no other animals

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.