Midterm 2021 PDF

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Midterm 2021...

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MIDTERM STAT 200 (All answers go directly on this exam. Scrap paper can be attached separately.)

Name:

All-Time Box-Office Revenues Aggregated by Months (used for questions 5 – 7) Rank 1 2 3 4 5 6 7 8 9 10

Month February, 2009 February, 2010 February, 2008 February, 2004 February, 2007 February, 2003 February, 2005 February, 2006 February 2002 February, 2001

Gross 769,343,640 754,693,066 695,270,466 666,141,251 639,647,238 631,460,961 629,957,988 625,426,175 592,353,345 580,492,961

Movies Tracked 161 173 193 201 176 207 185 193 98 95

1. Calculate the standard deviation for the movies tracked. To figure out the standard deviation, I used my ti 84 calculator. I go to stat > edit > add in the data from movies tracked (161,173,193,201,176,207,185,193,98,95) > stat > calc > 1:1-var stats > enter > the standard deviation= 40.16

2. Shown in the following table are the reported annual deaths of males aged 75 or over from 1 of the 5 leading types of cancer: Site of Cancer Lung Prostate Colon or Rectum Stomach Pancreas

Number of Deaths 12,500 10,800 8,450 3,050 3,035

For a randomly selected deceased male cancer victim, what is the probability that a) he died of 1 of the 2 primary causes? P(A)=23059/37835 P(A)=.60

b) He died of cancer of either the stomach or the prostate? P(B)=3050+3035=6085 P(B)=6085/37835 P(B)=.16

c) He did not die of lung cancer? P(C1)=12500/37835 =.33 P(C)= 1-P(C1) P(C)= 1-.33 P(C)= .67

3. Out of every 100 key cards, 40 will open a door on the game show – The Price is Right. Two key cards are chosen by the Alfredo. a) What is the probability that both keys will open the door? (40/100)= (2/5) (2/5)(39/99)= 15.7% b) What is the probability that neither of the keys will open the door? (60/100)= (3/5) (3/5)(59/99)= 35.7% 4. In Exhibit A (attachment), you are responsible for running a slot tournament. The machines highlighted in yellow are machines that will hit a jackpot. What is the probability that a player will be assigned to one of these machines out of the machines listed on the sheet. There are 11 highlighted machines out of a total of 90 machines. P(E)= 11/90 P(E)= .12

5. If you randomly select a card from a deck of 52 cards, what is the probability of selecting a black card? Out of a deck of 52 cards, 26 of them are black. P(A) = 26/52 P(A) = .50

6. A sack contains 7 red paper clips, 9 white paper clips and 4 blue paper clips. What is the probability of pulling out a blue paper clip? =7 + 9 + 4 =20 P(blue paper clip)=4/20

7. What is the probability that a card drawn at random from a pack of 52 cards is either a spade or a face card? Spades (2S, 3S, 4S, 5S, 6S, 7S, 8S, 9S, 10S, JS, QS, KS, AS) =13 Faces (JC, QC, KC, JD, QD, KD, JH, QH, KH, JS, QS, KS,)= 12 P = 12+13 = 25 P = 25 52 P = .48

8.

Obtain the population standard deviation, O, for the given data. Assume that the data represent population data. Round your final answer to one more decimal place than that used for the observations. The number of years of teaching experience is given below for 12 high school teachers. 19 17

24 8

22 5

19 13

12 22

19 31

Obtain the population standard deviation. To figure out the standard deviation, I used my ti 84 calculator. I go to stat > edit > add in the data from the 12 high school teachers (19,24,22,19,12,19,17,8,5,13,22,31) > stat > calc > 1:1-var stats > enter > The population standard deviation = 6.88

Find the median. 5,8,12,13,17,19,19,19,22,22,24,31 5,8,12,13,17,19,19,19,22,22,24,31 =19+19 =38 =38/2 Median = 19

9. Kamryn is currently taking Chemistry 101. On the five laboratory assignments for the quarter, here are the scores: 30

39

18

49

54

Compute the range and standard deviation. Range= the largest number – the smallest number Range=54-18 Range =36 To figure out the standard deviation, I used my ti 84 calculator. I go to stat > edit > add in the data from the scores of the laboratory assignments (30,39,18,49,54) > stat > calc > 1:1-var stats > enter >

The sample standard deviation (since it’s grades from the quarter of the class) = 14.5

10. Dr. D went to MGM Springfield casino while the class was taking their midterm exam. He played a Konami machine entitled 88 Fortunes. A slot attendant accidently left the slot manual next to the machine. In the machine it indicated:

Let 1 = Win and 0 = Loss. The output from the next 40 games when the machine is rebooted is as follows: 1000011000111001111011001000111010101001 What is the probability that Dr. D will win on a spin? P(W)= (20/40) =(1/2) or 50% What is the probability that Dr. D will lose two spins in a row? P(Lose 2 in a row)= 3/40 If you look at the output, you can see that there are 3 times where you can lose two spins in a row out of the 40 times. 11. In Summer of 2022, Tiara wants to visit 8 different cities. How many different routes are possible? 8x7x6x5x4x3x2x1= 40320 different routes

12. What measure of center is most affected by a change in a data value? a) Mode b) Mean c) Median The mean will be the most affected by a change in a data value. 13. In exhibit 3 (attached), please find the mean for the awarded funds. =690982+690982+297171+204918+283792+2122959+690982+2434059+24340 59 =9849904 =9849904/9 =1094433.77 14. In exhibit 3 (attached), please find the standard deviation for the allocated funds. To figure out the standard deviation, I used my ti 84 calculator. I go to stat > edit > add in the data from Exhibit 3 (690982,690982,297171,204918,100000,300000) > stat > calc > 1:1-var stats > enter >

Standard deviation= 251289.16

15. What are you struggling with the most in this course? How else can I help get you through this class successfully? I am struggling with just remembering how to do the probability questions and recognizing what is a sample standard deviation and a population standard deviation out of the question problems. I am also struggling with just remembering how to do everything. I try to take as much notes as I can, and look at the resources provided; but I feel like I’m having to rely on my notes too much. I’m not really retaining any of it. As far as what you can do, I feel like you’ve done all that you can; mine is just a personal problem....