ny1

<div class="main"> <img src="https://upload.wikimedia.org/wikipedia/commons/thumb/a/a5/Columbia_University_1910.jpg/320px-Columbia_University_1910.jpg" class="right"> You arrive in New York City, where you received a scholarship to Columbia University. In the 1930s, few people and fewer still American Indians had this opportunity. [[next]] <br><br> </div>

<div class="main"> <img src="https://aktalakota.stjo.org/wp-content/uploads/2021/08/Ella-Cara-Deloria_Pic.jpg" class="right" style="width:250px"> <p>You meet the person who helped the most to get you the scholarship, Ella Cara Deloria. She mentioned something about a job on campus and you're eager to get started, with the scholarship barely covering tuition and books<br> "Let's take you over to see Mary Ross," she says. "She can fill you in on the job, but I know she will have some questions."</p> [[next|ross]] </div>

<div class="main"> <img src="https://upload.wikimedia.org/wikipedia/en/1/1c/Photo_of_Mary_Golda_Ross.jpg" class="left"> <p>You talk for awhile with Ross and can see that she has been a schoolteacher. She tries to gauge your ability for the job she has in mind.</p> [[next|quarts]] </div>

(set: $eight to 8, $five to 0, $three to 0) (set: $path to (a:))

<div class="main"> <img src="https://upload.wikimedia.org/wikipedia/commons/thumb/1/11/Water_pouring_puzzle.png/320px-Water_pouring_puzzle.png" class="left"> <p>"Let's try this reasoning test. Suppose you have 3 containers. You know that when filled all the way to the top, they hold 8 quarts, 5 quarts, and 3 quarts exactly."<br> She pauses and you nod that you're following her.<br> "If we start with the 8-quart container totally full, how can we pour back and forth to get the 8 quarts evenly divided?" You ponder this.</p> [[next|pour]] </div>

<div class="main"> <table> <tr><th>qty in 8 qt</th><th>qty in 5 qt</th><th>qty in 3 qt</th></tr> <tr><td>$eight</td><td>$five</td><td>$three</td></tr> <tr><td>[[pour from <br>8 to 5|e5]]</td> <td>[[pour from <br>5 to 3|f3]]</td> <td>[[pour from <br>3 to 8|t8]]</td></tr> <tr><td>[[pour from <br>8 to 3|e3]]</td> <td>[[pour from <br>5 to 8|f8]]</td> <td>[[pour from <br>3 to 5|t5]]</td></tr> </table> <br> </div>

(set: $gap to (5 - $five))  (if: ($gap > 0) and ($gap <= $eight))[(set: $pour to $gap) (set:$eight to $eight - $pour) (set:$five to $five + $pour)]  (else-if: ($gap > 0) and ($gap > $eight))[ (set: $five to ($five + $eight))(set: $eight to 0)]  (if: ($eight is 4) and ($five is 4))[(go-to: "passed")] (set: $path to $path + (a: "8 to 5")) (redirect: "pour")

(set: $gap to (3 - $three))  (if: ($gap > 0) and ($gap <= $five))[(set: $pour to $gap) (set:$five to $five - $pour) (set:$three to $three + $pour)]  (else-if: ($gap > 0) and ($gap > $five))[ (set: $three to ($three + $five))(set: $five to 0)]  (if: ($eight is 4) and ($five is 4))[(go-to: "passed")] (set: $path to $path + (a: "5 to 3")) (redirect: "pour")

(set: $gap to (8 - $eight))  (if: ($gap > 0) and ($gap <= $three))[(set: $pour to $gap) (set:$three to $three - $pour) (set:$eight to $eight + $pour)]  (else-if: ($gap > 0) and ($gap > $three))[ (set: $eight to ($eight + $three))(set: $three to 0)]  (if: ($eight is 4) and ($five is 4))[(go-to: "passed")] (set: $path to $path + (a: "3 to 8")) (redirect: "pour")

(set: $gap to (3 - $three))  (if: ($gap > 0) and ($gap <= $eight))[(set: $pour to $gap) (set:$eight to $eight - $pour) (set:$three to $three + $pour)]  (else-if: ($gap > 0) and ($gap > $eight))[ (set: $three to ($three + $eight))(set: $eight to 0)]  (if: ($eight is 4) and ($five is 4))[(go-to: "passed")] (set: $path to $path + (a: "8 to 3")) (redirect: "pour")

(set: $gap to (8 - $eight))  (if: ($gap > 0) and ($gap <= $five))[(set: $pour to $gap) (set:$five to $five - $pour) (set:$eight to $eight + $pour)]  (else-if: ($gap > 0) and ($gap > $five))[ (set: $eight to ($eight + $five))(set: $five to 0)]  (if: ($eight is 4) and ($five is 4))[(go-to: "passed")] (set: $path to $path + (a: "5 to 8")) (redirect: "pour")

(set: $gap to (5 - $five))  (if: ($gap > 0) and ($gap <= $three))[(set: $pour to $gap) (set:$three to $three - $pour) (set:$five to $five + $pour)]  (else-if: ($gap > 0) and ($gap > $three))[ (set: $five to ($five + $three))(set: $three to 0)]  (if: ($eight is 4) and ($five is 4))[(go-to: "passed")] (set: $path to $path + (a: "3 to 5")) (redirect: "pour")

<div class="main"> <p>"Well done!"</p> $path [[next|averages]] </div>

<div class="main"> <img src="http://www.columbia.edu/cu/computinghistory/statbureau.jpg" class="right" style="width: 300px"> <p>Mary Ross takes you down into the basement of a building on campus. You see several people working machines and writing down numbers or checking numbers.<br> "This is the Columbia University Statistical Bureau. We need more people who can carefully compute. Let's see how you do with this problem."</p> [[next|samples]] </div>

{(set: $rand1 to (random: 5, 10), $rand2 to (random: 5, 10), $rand3 to (random: 4, 10)) (set: $avg1 to 3+$rand1/2, $avg2 to 2.5+$rand2/2, $avg3 to 3.5+$rand3/2) (if: $avg3 is $avg2)[(set: $avg3 to $avg3 + 1)]} <div class="main"> <p>"Suppose we had a large population that we drew three samples from," Mary asks. "The first sample is size 2, the second sample is size 3, and the the third sample is size 5." <br><span style="border: 2px solid black; padding: 3px">n1 = 2, n2 = 3, n3 = 5</span><br> She sees that you're following her. "Also suppose we get a sample mean of $avg1 from the first sample, a sample mean of $avg2 from the second sample, and a sample mean of $avg3 from the third sample. What is the best single estimate then for the population mean?" give your [[estimate]] </p> </div>

(set: $mean to (2*$avg1+3*$avg2+5*$avg3)/10) (set: $combo to (num:(prompt: "Enter your estimate:", ""))) (if: $combo is $mean)[(go-to:"win")] (else:)[(go-to:"fail")]

<div class="main"> <p>"Nicely done, you have a job. Congratulations."</p> <br> (set: $code to (random: 50, 350) * 37 + 1) <h5>Completion code: $code</h5> </div>

<div class="main"> <p>"That's not quite right. Think about what effect the different sample sizes have."</p> try [[again|samples]] or [[no]]? </div>