fpu 1 Vc ?rl C{(Th Exam # 1 June points. Write all work. Name:

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1 Exam # 1 June points. Write all work. Name: fpu 1. (4 points) Identify the data set s level of measurement (nominal, ordi nal. interval, ratio): (A) The number of ice-cubes in a 20 oz. cup. (B) Flavors of ice-cream. Ypt l;i I (C) Allswers to, How likely a summer will have a heat wave? (Very likely, somewhat likely, not very likely, not at all likely.) (D) Height in feet of hot-air balloons.?rl, 1 Vc 2. (3 points) Decide which method of data collection you would use to collect data for the study (observational study, experiment, simulatioll, or survey): (A) A study of the effect of taking cinnamon extract on diabetics. 1 (B) A study of a sample of lifeguards reason for career choice. (C) A study of salaries of beach retail store owners. p C{(Th

2 3. (3 points) Identify the sampling technique used (random, cluster, strat ified, conveniece, systematic): (A) In a television game show audience, three will be selected with equal chance to be contestants. (B) Every fifth call at a customer service call center is recorded for training purposes. I! 7 (C) You divide the student population with respect to majors and randomly select some students in each major. i

3 4. (8 points) Data set: A sample of ATM withdrawals (in dollars): (A) Construct a frequency distribution table for the data set using 5 classes. Class Frequency Midpoint Relative Frequency Cumulative Frequency I/I _c 1 7- I Z 3 L5A 1ThL W 7O 9 t1l/ 3O 11 (B) Construct a histogram.

4 5. (4 poiits) Construct a Pareto-style bar propriately. chart of the data. Label ap Ice-cream Brand Frequency f Baskin Robbins 79 Ben Jerry s 49 Blue Bell 6 Cold Stone Creamery 28 Dreyers 6 Haagen-Daz 48 Marigold 28 2 Ct 1 go &-si )-1S CS.c. i4,

5 6. (8 points) A local water park gave out five all-season passes. (These are good for 70 days.) Below is the number of days each pass was used. (A) Find the mean of this data. I mean: 3 (B) Find the variance aiid standard deviation by filling out the table below. x (x) (x) 2 - variance: standard deviation:

6 7. (4 points) A restaurant serves 60 orders of dessert on a weekend. Below is the price per dessert and the frequency of the order: Category Price Frequency Chocolate mousse $ Key lime pie $ Hot fudge sundae $ Oreo lava cake $ What is the mean amount spent per dessert? / mean: 8. (4 points) Find the quaritiles of the following heights (in feet) of 10 high tides at La Jolla shores. Construct and label a box plot for the data LEEEEIZEZI-- ---k

7 Name:... Exam # 2 July 1 38 points. Write all work. 1. (8 points) The daily high temperature in F for the first 3 weeks of July, 2012 are below. (Source: 1OO O /OQ 92 96u1/ Find the first, second, and third quartile, aid the mm draw a box plot. and max. Then, G1 95 Q Lao vi.c.ic / do oo Ift 2. (4 points) A card is selected at random from a standard deck of cards. Find the probabilty that: (A) A randomly selected card is black or a six. q 0 (B) A raildomly selected card is a face card or a queen. +. z

8 3. (4 points) A security code to the bank vault consists of 3 letters and 6 numbers. (A) How many codes are possible? (B) How many codes are possible if letters and numjers cannot be repeated?. 4. (6 points) An amusement park counts attendance by age groups: Age group Toddler Child Teen Adult Senior Years andover Frequency (in thousands) A person is chosen at random from all the attendants to be the guest of honor. What is the probability of: (A) a person from the child age group is selected? t.. (B) a person not in the m-fa.n age group is selected? H (C) a person from the most likely age group is selected?

9 5. (6 points) The table shows the results of a survey in which 240 visits to a veteranrian were asked how much they have spent in the last year of their pet s health care. Dog Owner Cat Owner Other Pet Total Less than $ \lore than $ Total (A) Find the probability that a randomly selected pet owner spent less than $100 on health care and their pet was a cat. U - :z _!1 24O (B) Given that the pet owner spent more than $100, find the proba bility that the pet was a dog. 4, Cc O(9tD (C) Find the probability that the pet owner spent less than $100 or their pet was not a dog nor a cat (4 points) 81% of people wanting to move do so over a summer. Of the ones that do move, 45% move into their first choice. (A) Find the probability that a randomly selected person moves and into his or her first choice. ot (B) Find the probability that a randomly selected person moves and did not get his or her first choice. ( ( 1- s )

10 7. (4 points) A blood bank logs blood types, including postive and nega tive Rh-factor, given by donors during the last week. The number of donors is on the table. A BABOTota1 Rh-positive Rh-negative Total (A) Find the probability that a random donor has type AB blood or is Rh-positive. 12-1SO9 (B) Find the probability that a random donor has Type 0 or type A blood (2 points) You draw two cards from a standard deck of cards, without replacement. (A) How many ways can you draw a pair of nines? (B) What is the probability that you draw a pair of nines? /D L

11 Name: Exam # 3 July points. Write all work. I- ) 1. (4 points) The numbers of spoiled pineapples per batch of imported pineapples are: Spoiled Pineapples x Batches f Write a probabiliy distribution of x. Draw a histogram. qz - OiT OIW o.o 2-3 c 2. (4 points) A restaurant sells $2 raffle tickets. First place prize is free food for a year valued at $1,170, second place is free drinks for a year valued at $520, and the remaining 30 prizes are $20 gift cards. It is very popular so 5,000 tickets are sold. If x is the net gain to a player, find the expected net gain to a player for one ticket of the raffle. 4 f/ 1%

12 3. (4 points) Select a card from a suffled standard deck of cards. Note if the card is not a face card, put it in the deck and shuffle. Perform this experiment two times. Let x be the total number of non-face cards. Compute the binomial probability distribution for i. Z 4. (3 points) Find the mean, variance, and standard deviation for a hino mial distribution with n = 214 and p = (3 points) Draw the normal curve for a normal distribution with mean = 675 and standard deviation u = 35. Jo Gc 7[o

13 6. (6 points) Use the standard normal table to find the area: (A) To the left of z = O (B) To the right of z = H Ooç oco (C) In betweeii z = 0.24 and z (6 poilits) A normal distributioi for x has a mean of t 115 and a standard deviation of o = 3.6. Find the z-scores for the values: (A) x 121 Cw iic) - (B) x = 105 (C)x=127 frr 8. (4 points) Use the standard normal table to find the following per centiles: (A)P 10 (B)P 80, c9-

14 9. (4 points) The weights of cans of tuiia follow a normal distribntioii with meaii,u 5.96 oz. with staildard deviation u = 0.08 oz. (A) What weight corresponds to the 85th percentile? L4 + (B) What weight corresponds to the first quartile? - 0 f ( OE