Tuesday, March 24, 2009

5:24 PM: John Frantz has entered the room.
5:36 PM: John Frantz has left the room.
5:47 PM: John Frantz has entered the room.
5:49 PM: John Beck(Ins) has entered the room.
5:50 PM: John Beck(Ins): Hi, John!
5:50 PM: John Frantz: Hello
5:50 PM: John Beck(Ins): How are you this fine evening?
5:50 PM: Margaret Cannella has entered the room.
5:50 PM: John Frantz: I'm doing well.
5:50 PM: John Beck(Ins): Good.
5:50 PM: John Beck(Ins): Hi, Margaret!
5:51 PM: Margaret Cannella: GOOD EVENING!
5:51 PM: John Beck(Ins): So how's the weather back in Baltimore?
5:52 PM: Margaret Cannella: IT A LITTLE CHILLY BUT NOT TO BAD
5:52 PM: John Beck(Ins): Well, summer is just around the corner.
5:52 PM: Margaret Cannella: I KNOW AND I CAN'T WAIT!!
5:52 PM: John Beck(Ins): Are both of you ready for Test 2?
5:53 PM: Margaret Cannella: I THINK SO
5:53 PM: John Frantz: I'm going to be as soon as I fix my stupid Mac from acting so stupid. Yes, I just like that word.
5:53 PM: Margaret Cannella: LOL
5:53 PM: John Beck(Ins): lol
5:53 PM: Margaret Cannella: I WAS SURPRISED I COULD ACTUALLY GET AN APPOINTMENT FOR NEXT SATURDAY
5:53 PM: Margaret Cannella: TO TAKE THE TEST
5:54 PM: John Beck(Ins): Those Saturday spots go fast. It's good you called early.
5:54 PM: Margaret Cannella: YEAH THATS WHAT THEY SAID WHEN I CALLED THEM EARLIER TODAY
5:55 PM: John Frantz: I dunno how I'd feel about taking a Math test on a Saturday. Weekends for me are just times to be lazy.
5:55 PM: John Beck(Ins): I can relate to that.
5:55 PM: Margaret Cannella: I HAVE NO OTHER CHOICE CAUSE I WORK A 50 HOUR WORK WEEK, AS WE SPEAK I AM AT WORK LOL
5:55 PM: John Frantz: Ah, alrighty.
5:55 PM: John Beck(Ins): Double dipping!
5:56 PM: Margaret Cannella: YEAH MY BOSS IS PRETTY COOL, I DO THE ACCOUNTING FOR HONDA SO MY BOSS SAID IF I GET ALL MY WORK DONE I CAN DO SOME HOMEWORK HERE
5:56 PM: John Beck(Ins): We have about 5 minutes before class begins. Do either of you have any questions?
5:57 PM: Toyia Haines has entered the room.
5:57 PM: John Beck(Ins): Hi, Toyia!
5:57 PM: Toyia Haines: Hi Professor Beck
5:57 PM: John Frantz: Hmm....why is the sky blue? Okay, not technically math related, but it was the first snarky thing to pop into my head.
5:57 PM: Andrea Scurti has entered the room.
5:57 PM: Margaret Cannella: LOL
5:57 PM: John Beck(Ins): Hi, Andrea!
5:58 PM: Andrea Scurti: hello!
5:58 PM: John Beck(Ins): I'll work on the Sky problem -- after class!
5:58 PM: John Frantz: Haha...alrighty.
5:58 PM: Stephanie Burke has entered the room.
5:58 PM: Andrea Scurti: wow, chapter 7 was very time consuming!
5:58 PM: John Beck(Ins): Hi, Stephanie!
5:58 PM: John Beck(Ins): It was difficult, wasn't it.
5:58 PM: Toyia Haines: yes
5:59 PM: Andrea Scurti: yes
5:59 PM: John Beck(Ins): Got to get familiar with your calculator!
5:59 PM: Stephanie Burke: HI
5:59 PM: Toyia Haines: I am confused about where the decimal goes
5:59 PM: Andrea Scurti: me too! can we round?
6:00 PM: Andrea Scurti: that's what took me so long
6:00 PM: John Beck(Ins): Yes, you can round off, but be careful about rounding off to early in the problem.
6:00 PM: Danielle Ryan has entered the room.
6:00 PM: Andrea Scurti: i have an ancient calculator
6:00 PM: John Beck(Ins): Hi, Danielle.
6:00 PM: John Beck(Ins): !
6:00 PM: Danielle Ryan: Hello!
6:00 PM: Toyia Haines: So is it best to keep going to the end without rounding?
6:00 PM: Marcus Buckley has entered the room.
6:00 PM: John Beck(Ins): Usually, Toyia.
6:00 PM: John Beck(Ins): Hi, Marcus!
6:01 PM: Marcus Buckley: Hello
6:01 PM: John Beck(Ins): Class, Margaret called for a Saturday appointment today and she was told they are going fast!
6:02 PM: Andrea Scurti: ok, thanks
6:02 PM: John Beck(Ins): Well, Class, tonight's lesson is short and sweet, so let's get started.
6:02 PM: Toyia Haines: April 4th is the last day right?
6:02 PM: Marcus Buckley: Test 2 has be tooken by next thursday correct?
6:02 PM: Marcus Buckley: april 2nd?
6:02 PM: John Beck(Ins): April 2 is a Saturday -- I hope!
6:03 PM: John Beck(Ins): OOps, The deadline is April 4, isn't it?
6:03 PM: Toyia Haines: April 2nd is a thursday
6:03 PM: John Beck(Ins): In know it's a Saturday.
6:03 PM: Toyia Haines: Ok, cool
6:04 PM: John Beck(Ins): Yes, it is Saturday, April 4.
6:04 PM: Toyia Haines: great
6:04 PM: John Beck(Ins): No matter which testing center you use, you'll be taking an online test so be sure to get familiar with my online practice test!
6:05 PM: John Beck(Ins): Okay, let's talk about some descriptive statistics.
6:05 PM: John Beck(Ins): In the next two chapters, we're looking for a number, or numbers, that we can use to represent a group of numbers.
6:06 PM: John Beck(Ins): As you know, this semester you are going to have 14 homework assignments and 4 on-campus tests. I need to find a single number, or grade, that will represent your work this semester.
6:07 PM: John Beck(Ins): On page 1, our lab technician has been recording the force required to break some material.
6:07 PM: John Beck(Ins): Now we'd like to come up with a single number to represent all those numbers.
6:07 PM: John Beck(Ins): Go to page 2,please.
6:08 PM: John Beck(Ins): There are 3 "measures of central tendency" that we frequently use to represent a set of data.
6:08 PM: John Beck(Ins): Let's click on Tools, then Definitions, please.
6:08 PM: Stephanie Burke: are we on ch 8
6:09 PM: John Beck(Ins): The mean is the statistic that you are probably most familiar with. You probably call it the "average."
6:09 PM: Maleda Scott has entered the room.
6:09 PM: Stephanie Burke: ?
6:09 PM: Marcus Buckley: yup
6:09 PM: John Beck(Ins): To get the mean, we add all of the scores and then we divide by the number of scores we had.
6:09 PM: John Beck(Ins): Hi, Maleda!
6:10 PM: Maleda Scott: hi
6:10 PM: Rachel Kruger has entered the room.
6:10 PM: John Beck(Ins): Maleda, we're on L8,p1. we've clicked on Tools, then Definitions.
6:10 PM: John Beck(Ins): Hi, Rachel!
6:10 PM: Rachel Kruger: good evening, sorry I am late
6:10 PM: John Beck(Ins): Rachel, we're on L8,p1. we've clicked on Tools, then Definitions
6:10 PM: Rachel Kruger: thanks
6:10 PM: Maleda Scott: thanks
6:11 PM: John Beck(Ins): Sometimes we find that the median is a more meaningful number to use to represent our data.
6:11 PM: John Beck(Ins): The median is the "middle score." 1/2 of the scores are bigger than the median and 1/2 of the scores are smaller than the median.
6:11 PM: John Beck(Ins): Lastly
6:12 PM: John Beck(Ins): Lastly, we have the mode.
6:12 PM: John Beck(Ins): The mode is easy -- it is the score that occurs most frequently.
6:12 PM: John Beck(Ins): Okay, let's click on "Hide 'em" please.
6:13 PM: John Beck(Ins): Go to page 2.
6:13 PM: John Beck(Ins): Go to page 3, please.
6:13 PM: John Beck(Ins): Here's the formula for calculating the mean. That funny symbol in the numerator is the Greek letter Sigma. In math we use Sigma to mean "add all of the terms."
6:14 PM: John Beck(Ins): Go to page 4, please.
6:14 PM: John Beck(Ins): Go to page 5, please.
6:15 PM: John Beck(Ins): So our technician might just say, "The mean tensil strength was 5.8 units."
6:15 PM: John Beck(Ins): Go to page 6, please.
6:15 PM: John Beck(Ins): Go to page 7, please.
6:16 PM: John Beck(Ins): I have now listed all of the scores in ascending order (smallest to largest).
6:16 PM: John Beck(Ins): Go to page 8, please.
6:16 PM: John Beck(Ins): To find the LOCATION of the median, we use (n+1)/2
6:17 PM: John Beck(Ins): Our LOCATION is 5.5, so we know that the median is between the 5th score and the 6th score.
6:17 PM: John Beck(Ins): Go to page 9, please.
6:17 PM: John Beck(Ins): 1/2 of the scores are lower than 5.8 and 1/2 of the scores are greater than 5.8
6:17 PM: John Beck(Ins): Go to page 10, please.
6:18 PM: John Beck(Ins): Go to page 11, please.
6:18 PM: John Beck(Ins): This distribution is bimodal.
6:18 PM: John Beck(Ins): bimodal means we have two modes.
6:18 PM: John Beck(Ins): Sometimes the might have no mode. No single score occurs more than all the other scores.
6:19 PM: John Beck(Ins): If you think back, I'll bet most of you have heard that the "median income in Baltimore County is $xxxx.
6:19 PM: John Beck(Ins): Or that the median single family home is $xxxxx
6:20 PM: John Beck(Ins): How many of you have heard one of these expressions?
6:20 PM: Rachel Kruger: yes
6:20 PM: Andrea Scurti: i have
6:20 PM: Stephanie Burke: i have
6:20 PM: Danielle Ryan: i have
6:20 PM: Maleda Scott: i have
6:20 PM: Rachel Kruger: Mr Beck, a quick question, do you always take the highter answer on the median
6:20 PM: John Beck(Ins): The median is a handy statistic because it is not affected drastically by an unusual score.
6:21 PM: John Beck(Ins): No, Rachel, we used the middle score.
6:21 PM: Andrea Scurti: Is the median 5.5 or 5.8?
6:21 PM: John Beck(Ins): It just so happened that 5.8 occured twice.
6:21 PM: John Beck(Ins): The median is 5.8
6:21 PM: Rachel Kruger: between 5.7 and 5.8.....
6:21 PM: John Beck(Ins): 5.5 was the LOCATION of the median!
6:22 PM: Andrea Scurti: oh, thanks
6:22 PM: Rachel Kruger: the median was 10+1 so half is 5.5
6:22 PM: John Beck(Ins): Can you hear me yelling the word LOCATION?
6:22 PM: Rachel Kruger: I can
6:22 PM: John Beck(Ins): (n+1)/2 is the formula for finding the location of the median.
6:22 PM: Rachel Kruger: th 5th number is 5.7 and the 6th number 5.8
6:23 PM: Rachel Kruger: am I just being totally thick here!
6:23 PM: John Beck(Ins): The first score is 5.6
6:23 PM: John Beck(Ins): The second score is 5.6
6:23 PM: John Beck(Ins): The 3rd score is 5.7
6:23 PM: John Beck(Ins): The 4th score is 5.8
6:23 PM: John Beck(Ins): The 5th score is 5.8
6:23 PM: John Beck(Ins): Do you see the pattern?
6:23 PM: Rachel Kruger: ok....once they are put in order....I WAS just being thick!
6:24 PM: John Beck(Ins): lol
6:24 PM: Rachel Kruger: carry on....thank you
6:24 PM: John Beck(Ins): Every once in a while, the O's will list the salaries of all their players.
6:25 PM: John Beck(Ins): A lot of the players will be playing for 300,000 or 325,000 etc.
6:25 PM: John Beck(Ins): But a few will make 12,000,000 or 13,500,000
6:25 PM: John Beck(Ins): Those very high scores will make the mean very big, but when we use the median of the scores we get a much smaller number.
6:26 PM: John Beck(Ins): I'll give you an example.
6:26 PM: John Beck(Ins): Suppose I own a company and the average sallaries are 500, 575, 625, and 2,000,000
6:27 PM: John Beck(Ins): By the way, guess who makes 2,000,000?
6:27 PM: Marcus Buckley: u
6:27 PM: John Beck(Ins): yep
6:27 PM: Andrea Scurti: haha
6:27 PM: Stephanie Burke: not me
6:27 PM: Stephanie Burke: lol
6:27 PM: Maleda Scott: u
6:27 PM: John Beck(Ins): Now, there are 4 scores, so the location of the median is (4+1)/2 = 2.5
6:28 PM: Rachel Kruger: ok
6:28 PM: John Beck(Ins): So the median is between the 2nd and the 3rd scores.
6:28 PM: John Beck(Ins): The median is 600
6:28 PM: Salina Wiggins has entered the room.
6:29 PM: John Beck(Ins): The mean is 500,425
6:29 PM: John Beck(Ins): See what that one unusual number, 2,000,000 did to the mean?
6:29 PM: John Beck(Ins): Hi, Salina!
6:29 PM: John Beck(Ins): Salina, we're on Ch 8_p11.
6:29 PM: Salina Wiggins: hi sorry i"m late
6:30 PM: John Beck(Ins): So which number, 600, or 500,425 most accurately repesents the average salary for my company?
6:30 PM: Andrea Scurti: 600
6:30 PM: Stephanie Burke: 500,425
6:30 PM: John Beck(Ins): RIGHT
6:30 PM: John Beck(Ins): RIGHT
6:31 PM: Maleda Scott: 600
6:31 PM: John Beck(Ins): If I work for the union, I'd say 600 is the average salary
6:31 PM: John Beck(Ins): But if I'm the plant manager, I'd say 500,425 is the average salary.
6:31 PM: John Beck(Ins): Get my point?
6:32 PM: Maleda Scott: yes
6:32 PM: Rachel Kruger: got it
6:32 PM: Andrea Scurti: so it can be conditional?
6:32 PM: John Beck(Ins): It depends on your point of view.
6:32 PM: John Beck(Ins): So if somebody says the average is xxxx, ask them if that is the mean, the median, or the mode!
6:32 PM: Andrea Scurti: ok
6:33 PM: Maleda Scott: ok
6:33 PM: John Beck(Ins): By the way, I'll be using a mean for your grade this semester -- a weighted mean.
6:33 PM: Toyia Haines: How is the mode determined?
6:33 PM: John Beck(Ins): One more example. Let's go to page 12, please.
6:33 PM: John Beck(Ins): The score that happens most frequently.
6:34 PM: Nelson Babedi has entered the room.
6:34 PM: John Beck(Ins): Both 5.8 and 6.0 occured 3 times.
6:34 PM: John Beck(Ins): It was a tie.
6:34 PM: John Beck(Ins): Hi, Nelson!
6:34 PM: Toyia Haines: I saw that but for your example
6:34 PM: John Beck(Ins): Nelson, we're on Ch 8_p12
6:34 PM: Nelson Babedi: Hi professor!
6:34 PM: Toyia Haines: I couldn't figure it out
6:34 PM: Nelson Babedi: ok
6:34 PM: John Beck(Ins): Don't forget, you can click on Tools, then Definitions, Toyia.
6:35 PM: John Beck(Ins): Here is another frequency distribution.
6:35 PM: John Beck(Ins): By that I mean that there are 4 threes.
6:35 PM: John Beck(Ins): There are 9 fives.
6:35 PM: John Beck(Ins): There are 8 sevens
6:35 PM: John Beck(Ins): And there are 2 nines.
6:35 PM: John Beck(Ins): Okay?
6:36 PM: Andrea Scurti: k
6:36 PM: Marcus Buckley: ok
6:36 PM: Rachel Kruger: ok
6:36 PM: Danielle Ryan: ok
6:36 PM: John Frantz: Gotcha.
6:36 PM: Maleda Scott: ok
6:36 PM: John Beck(Ins): Go to page 13,please.
6:36 PM: Margaret Cannella: OK
6:37 PM: John Beck(Ins): I could add 3 + 3 + 3 + 3 = 12, or I can multiply: 3x4 = 12
6:37 PM: John Beck(Ins): Go to page 14, please
6:38 PM: John Beck(Ins): I could add: 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 5 = 45, or I could multiply: 5x9 = 45
6:38 PM: John Beck(Ins): Go to page 15, please.
6:38 PM: John Beck(Ins): Notice I never add when I can multiply.
6:38 PM: John Beck(Ins): Go to page 16, please.
6:39 PM: John Beck(Ins): Here's that funny looking formula that uses the Sigma symbol.
6:39 PM: John Beck(Ins): You can click on Tools, then Definitions to see it again.
6:39 PM: John Beck(Ins): Go to page 17, please.
6:40 PM: John Beck(Ins): Sigma (f) is the sum of the frequencies -- in other words, how many scores did I have?
6:40 PM: John Beck(Ins): Go to page 18, please.
6:40 PM: John Beck(Ins): Sigma of the xsubi's times the fsubi's is 131
6:41 PM: John Beck(Ins): Go to page 19, please.
6:41 PM: John Beck(Ins): Go to page 20, please.
6:41 PM: John Beck(Ins): Go to page 21, please.
6:41 PM: John Beck(Ins): So the mean for this set of data is 5.7
6:42 PM: John Beck(Ins): Go to page 22, please.
6:42 PM: John Beck(Ins): Once again, this formula, (n+1)/2 will tell us the location of the median. It will not give us the value of the median!!!!!!
6:42 PM: John Beck(Ins): Now we need to find the 12th score.
6:43 PM: John Beck(Ins): Go to page 23, pleaee
6:43 PM: John Beck(Ins): please.
6:43 PM: John Beck(Ins): Go to page 24, please.
6:43 PM: John Beck(Ins): Hmmmm.
6:43 PM: John Beck(Ins): Which score were we looking for?
6:44 PM: Andrea Scurti: 12th
6:44 PM: John Beck(Ins): And what is the 12th score?
6:44 PM: Andrea Scurti: 45
6:44 PM: Toyia Haines: 5?
6:44 PM: John Beck(Ins): YES, Toyia!
6:44 PM: Toyia Haines: YEA!
6:45 PM: John Beck(Ins): I could have listed the scores as: 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5,
6:45 PM: John Beck(Ins): Counting from left to right, the 12th score is a 5
6:46 PM: John Beck(Ins): So was the 10th and the 8th, etc. I don't care, I care only about the 12th score.
6:46 PM: John Beck(Ins): With me?
6:46 PM: Salina Wiggins: yea
6:46 PM: Andrea Scurti: yes
6:46 PM: Margaret Cannella: YES
6:46 PM: Danielle Ryan: yes
6:46 PM: Stephanie Burke: yes
6:46 PM: Marcus Buckley: YUP
6:46 PM: Rachel Kruger: yes
6:46 PM: Maleda Scott: yes
6:47 PM: Toyia Haines: yes
6:47 PM: Nelson Babedi: yep
6:47 PM: John Beck(Ins): We'll go ahead and finish the cumulative f column, but we have the information we were looking for.
6:47 PM: John Beck(Ins): Go to page 25, please.
6:47 PM: John Beck(Ins): Go to page 26, please.
6:47 PM: John Beck(Ins): Go to page 27, please.
6:47 PM: Rachel Kruger: how do you get 21 + 3
6:48 PM: John Beck(Ins): (n+1)/2
6:48 PM: John Beck(Ins): That's our formula for finding the location of the median.
6:48 PM: John Beck(Ins): Okay?
6:48 PM: Margaret Cannella: K
6:48 PM: Marcus Buckley: k
6:48 PM: Rachel Kruger: no I am confused
6:48 PM: Toyia Haines: so we don't have to finish the cumulative column?
6:49 PM: Maleda Scott: ok
6:49 PM: Stephanie Burke: I dont get how we got the five
6:49 PM: Rachel Kruger: if it is accumulative should it not be 21 + 2
6:49 PM: John Beck(Ins): Rachel, it is (23+1)/2 to find the LOCATION of the median.
6:49 PM: Danielle Ryan: I got it
6:50 PM: Rachel Kruger: ok....I have that but that last line on the cumulative f is confusing me
6:51 PM: Stephanie Burke: i dont get how they go fives
6:51 PM: John Beck(Ins): Okay, remember, the first 4 scores were 3s
6:51 PM: Rachel Kruger: yes
6:51 PM: John Beck(Ins): 3, 3, 3, 3 are the first 4 scores.
6:51 PM: Rachel Kruger: yes
6:51 PM: John Beck(Ins): Then the next 9 scores were 5s
6:52 PM: Rachel Kruger: yes
6:52 PM: John Beck(Ins): 5, 5, 5, 5, 5, 5, 5, 5, 5
6:52 PM: Rachel Kruger: yes
6:52 PM: John Beck(Ins): So our first 12 scores are: 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5
6:52 PM: John Beck(Ins): Okay?
6:52 PM: John Frantz: okay
6:52 PM: John Beck(Ins): Oops, first 13 scosers
6:52 PM: Maleda Scott: ok
6:52 PM: Salina Wiggins: k
6:52 PM: Margaret Cannella: OK
6:52 PM: John Beck(Ins): The first 13 scores are 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5
6:53 PM: Nelson Babedi: 5
6:53 PM: John Beck(Ins): We were looking for the 12th score.
6:53 PM: John Beck(Ins): Yes, Nelson!
6:53 PM: Maleda Scott: 5
6:53 PM: John Beck(Ins): yes
6:54 PM: Rachel Kruger: yes but where do you gt 21 + 3
6:54 PM: John Beck(Ins): I don't have 21 + 3, I have (n+1)/2 = (23+1)/2
6:54 PM: Rachel Kruger: where does the 3 come from
6:55 PM: John Beck(Ins): Okay, you are looking at the last column, aren't you, Rachel.
6:55 PM: Rachel Kruger: yes
6:55 PM: John Beck(Ins): Do you agree that there are 4 of the 3s, Rachel.
6:55 PM: Rachel Kruger: yes
6:55 PM: Stephanie Burke has left the room.
6:55 PM: John Beck(Ins): Then there are 9 of the 5s so we added 4+9 to get 13
6:56 PM: Rachel Kruger: yes
6:56 PM: John Beck(Ins): There are 8 of teh
6:56 PM: Rachel Kruger: then 13 + 8 to get 21
6:56 PM: John Beck(Ins): There are 8 of the 7s so we added 13+8 to get 21
6:56 PM: John Beck(Ins): Right, Rachel
6:56 PM: Rachel Kruger: yes, I am with you this far
6:56 PM: Toyia Haines has left the room.
6:57 PM: John Beck(Ins): Oh, there is a typo. It should be 21+2 to get 23.
6:57 PM: Rachel Kruger: THANKYOU!
6:57 PM: Rachel Kruger: I am not going crazy
6:57 PM: John Beck(Ins): Our last statistic is the mode.
6:57 PM: John Beck(Ins): What is the mode for this set of data?
6:57 PM: Danielle Ryan: 5
6:57 PM: John Beck(Ins): Right!
6:57 PM: Maleda Scott: 5
6:57 PM: John Beck(Ins): Why, is it 5, Dani?
6:58 PM: Danielle Ryan: Because 5 shows up more frequently
6:58 PM: John Beck(Ins): RIGHT
6:58 PM: Maleda Scott: yes
6:58 PM: John Beck(Ins): Okay, Class, that's it for tonight. Any questions?
6:58 PM: Andrea Scurti: nooooo
6:59 PM: Salina Wiggins: i'm ok, goodnight
6:59 PM: Maleda Scott: no have a nice evening
6:59 PM: Andrea Scurti: goodnite!
6:59 PM: Danielle Ryan: Thank you, I am good. Good night everyone
6:59 PM: Andrea Scurti has left the room.
6:59 PM: Danielle Ryan has left the room.
6:59 PM: Maleda Scott has left the room.
6:59 PM: Salina Wiggins has left the room.
6:59 PM: Rachel Kruger: good night
6:59 PM: John Beck(Ins): G'night, Class.
6:59 PM: John Beck(Ins) has left the room.
7:00 PM: Rachel Kruger has left the room.
7:00 PM: Nelson Babedi: so far so good, good night all
7:00 PM: Nelson Babedi has left the room.
7:00 PM: Nelson Babedi has entered the room.
7:00 PM: Nelson Babedi has left the room.
7:00 PM: Marcus Buckley has left the room.
7:02 PM: John Frantz has left the room.
7:09 PM: John Beck(Ins) has entered the room.
7:10 PM: John Beck(Ins) has left the room.
10:45 PM: Maleda Scott has entered the room.