Elisha Mae Kostka 243 Assignment Mock Test 1 due 02/11/2015 at 09:01am PST

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1 Elisha Mae Kostka 243 Assignment Mock Test 1 due 02/11/2015 at 09:01am PST 1. (1 pt) Luis Gonzalez began his career as a major league baseball player in You are given a sample of the number of homeruns hit in 5 of the seasons. What type of study is this?. DESCRIPTIVE. INFERENTIAL 2. (1 pt) Annual tuition rates are a concern for the majority of college students at public universities. Suppose you are provided with the resident annual tuition (for 15 credit hours) for each public university in the U.S. for the school year. What type of study is this?. DESCRIPTIVE. INFERENTIAL 3. (1 pt) A sample of 30 dentists from Seattle is taken to estimate the median income of all Seattle residents. Is this study. REPRESENTATIVE?. NON-REPRESENTATIVE? A simple random sample of men over age 18 is taken to estimate the mean weight of all adult males. Is this study. REPRESENTATIVE?. NON-REPRESENTATIVE? A simple random sample of voters is taken in order to determine the chances of a certain candidate winning an election. Is this study. REPRESENTATIVE?. NON-REPRESENTATIVE? Using a sample of 40 patients from a local hospital, researchers measured cholesterol level in an attempt to estimate the mean cholesterol level of U.S. citizens. Is this study. REPRESENTATIVE?. NON-REPRESENTATIVE? 1 4. (1 pt) Of the variables you have studied so far, which type yields nonnumerical data?. Quantitative discrete. Quantitative continuous C. Qualitative. None of the above C 5. (1 pt) a - Qualitative data b - Discrete, quantitative data c - Continuous, quantitative data Fill in the appropriate letter (from above) of the term defined in each of the parts below. a) Data obtained by observing numerical values which form some interval of numbers b) Data obtained from a nonnumerically valued variable c) Data obtained by observing numerical values which form a finite, or countably infinite, set of numbers C 6. (1 pt) Industry Research polled teenagers on sunscreen use. The survey revealed that 46% of teenage girls and 30% of teenage boys regularly use sunscreen before going out in the sun. identify the two populations. all teenagers. teenage girls and teenage boys who use sunscreen regularly C. teenage girls and teenage boys. None of the above identify the specified attribute

2 . uses sunscreen before going out in the sun. being a teenager C. being a teenage girl or a teenage boy. None of the above are the proportions 0.46 (46%) and 0.30 (30%) population proportions or a sample proportions?. population proportions. sample proportions C. None of the above Grade on Statistics Exam Below Relative Frequency C Before leaving a particular restaurant, patrons are asked to respond to a questionaire containing the questions given below. For each question, indicate (using the pull-down menu) whether the possible responses are Interval, Nominal, or Ordinal.? 1. Would your overall rating of this restaurant be excellent, good, fair, or poor?? 2. Which of the following attributes of this restaurant do you find most attractive: service, prices, quality of food, menu options?? 3. Do you consider our prices to be high, average, or low?? 4. Have you eaten at this restaurant previously? O N O N 8. (1 pt) Grade on Statistics Exam Frequency Below Given the frequency table above, construct the following: (a) The relative frequency table that corresponds with the above table. 9. (1 pt) The following data contains days when road rage occured according to a study. The goal of the study is to determine when road rage occurs most often. F, Tu, Th, Th, M, M, F, F, F, M, Su, Sa, F, Su, Tu, F, Sa, M, F, F, Th, F, F, Th, Su, Th, Th, F, F, Sa, M, W, W, Th, Tu, Tu, W, M, F, F, W, Su, F, Tu, Sa, W, Th Find the mode of the above data. Mode = F 10. (1 pt) For the given data, find Σx, n, and x: x 1 = 15, x 2 = 12, x 3 = 12, x 4 = 17, x 5 = 13, x 6 = 12, x 7 = 6, x 8 = 11 Σx = n = x =

3 11. (1 pt) The standard deviation is preferable to the range as a measure of variation because it takes into account all the observations, not only the largest and the smallest ones. True. False One major drawback to the standard deviation as a measure of variation is that it is. Not resistant. Decreasing C. Increasing. None of the above Now use the same data set, but this time regard it as a population. Calculate the mean and the standard deviation. population mean = population standard deviation = (1 pt) The timeplot below gives the share price in dollars of General Electric stock, with the bar chart giving the volume in millions of shares. The plots are for the one-year period September 2001-September (Click on the image for a larger view. ) 12. (1 pt) Calculate the mode, mean, and median of the following data: (a) Which of the following is a true statement? Mode = Mean = Median = (1 pt) 13, 16, 11, 18, 8, 13, 12, 13 The length (in pages) of math research projects is given below. Using this information, calculate the mean and the standard deviation regarding the data set as a sample.. The price of General Electric stock has been stable for this year.. There has been a general upward trend in the stock price over this time period. C. The price should return to 40 dollars within six months because of the cycle.. There has been a general downward trend in the stock price over this time period. (b) If you bought a single share of stock at the maximum price and sold it at the minimum price during this one-year period, you would have lost about. 45 dollars.. 25 dollars. C. 35 dollars.. 15 dollars. E. Cannot be determined from the graph. (c) The maximum price per share for this time period was about 24, 22, 23, 22, 31, 14, 26, 35, 40 sample mean = sample standard deviation = dollars.. 20 dollars. C. 45 dollars.. 25 dollars.

15. (1 pt) Consider the histogram given below: (Click on the image for a larger view. ) (a) Which of the following is a correct statement?. The histogram is symmetric.

4 15. (1 pt) Consider the histogram given below: (Click on the image for a larger view. ) (a) Which of the following is a correct statement?. The histogram is symmetric.. The tallest person must have a height of at least 79 inches. C. Approximately half the students have heights between 65 and 71 inches.. None of the above are correct. (b) The interval that contains closest to 10 students is inches inches. C inches inches. 16. (1 pt) In a statistics class with 136 students, the professor records how much money each student has in their possession during the first class of the semester. The histogram below is of the data collected. (Click on the image for a larger view. ) (a) The histogram. is asymmetric.. is skewed right. C. has an outlier.. all of the above. (b) The percentage of students with over 20 dollars in their possession is. over 40%.. about 20%. C. about 10%.. about 30%. (c) The number of students with under 10 dollars in their possession is closest to C (1 pt) Consumers Union measured the gas mileage in miles per gallon of model automobiles on a special test track. The pie chart below provides information about the country of manufacture of the model cars used by Consumers Union. (Click on the image for a larger view. ) (a) Based on this pie chart, we may conclude that. more than half of the cars in the study were from the United States.. Mercedes Benz, Audi, Porsche, and BMW represent approximately one quarter of the cars tested. C. Japanese cars get significantly lower gas mileage than cars of other countries. This is because their slice of the pie is at the bottom of the chart.. Swedish cars get gas mileages that are between those of Japanese and American cars. (b) A pie chart is equivalent to a. timeplot. histogram. C. scatter plot.. bar chart. 18. (1 pt) Data set A: Data set B: Data set C: 81,83,84,86,87,90 7,7,11,13,18,21 6,7,8,8,8,10 Above are three different data sets. Without calculating anything, decide which set A, B, or C has the smaller standard deviation. Just enter the letter of the data set as your answer. C

5 19. (1 pt) For each of the given the data sets below, calculate the mean, variance, and standard deviation. (a) 80, 51, 15, 5, 99, 89, 62, 21, 10 mean = standard deviation = (b) 55, 48, 46, 51, 40, 51 mean = standard deviation = (c) 4.1, 3.9, 2.3, 3.8, 2.6 mean = standard deviation = (1 pt) Consider the following data set. Find the mean and standard deviation. Data set: 74, 44, 62, 54, 85 Mean: Standard deviation: If the data value 63 was added to the set, would the standard deviation become larger (L) or smaller (S). You do not need to calculate this second standard deviation to answer this question. L or S: S 21. (1 pt) Consider the data set given below: 27, 31, 23, 52, 47, 41, 37, 14, 28, 23, 25 a)find the minimum value of the data set: b)find the maximum value of the data set: c)find the arithmetic mean of the data set: d)find the median of the data set: Let s include one more data point in the data set. Suppose this new data value lies between the values 14 and 52, inclusively. e)find the smallest possible value of the mean of the new data set: f)find the largest possible value of the mean of the new data set: g)find the smallest possible value of the median of the new data set: h)find the largest possible value of the median of the new data 5 set: (1 pt) Calculate the mean and median of the following grades on a math test: Mean = Median = 89, 82, 76, 73, 73, 72, 69, 69, 54, 40, 24 Is this data set skewed to the right, symmetric, or skewed to the left? (Enter SR, SYM, or SL); SL 23. (1 pt) Calculate the 5 number summary and the interquartile range of the following data: 44, 36, 28, 62, 39, 40, 69, 32, 22, 50, 46, 12, 37, 17, 54 Q1 = Q2 = Q3 = Min = Max = IQR = There is a potential outlier in this data set. False

6 . True (1 pt) Calculate the 5 number summary and the interquartile range of the following data: 40, 26, 60, 56, 34, 39, 12, 30, 31, 14, 38, 48, 72, 6, 42, 22 Q1 = Q2 = Q3 = Min = Max = IQR = There is a potential outlier in this data set. True. False (1 pt) Two six-sided dice are rolled (one red and one green). Some possibilities are (Red=1,Green=5) or (Red=2,Green=2) etc. (a) How many total possibilities are there? For the rest of the questions, we will assume that the dice are fair and that all of the possibilities in (a) are equally likely. 6 (b) What is the probability that the sum on the two dice comes out to be 10? (c) What is the probability that the sum on the two dice comes out to be 7? (d) What is the probability that the numbers on the two dice are equal? (1 pt) One die is rolled. List the outcomes comprising the following events: (make sure you use the correct notation with the set braces, put a comma between each outcome, and do not put a space between them): (a) event the die comes up 4 or more (b) event the die comes up even (c) event the die comes up 3 {4,5,6} {2,4,6} {3} 27. (1 pt) (Note that an Ace is considered a face card for this problem) In drawing a single card from a regular deck of 52 cards we have: (a) P( black or a face card ) = (b) P( Queen and a 3 ) = (c) P( black and a Queen ) = (d) P( face card or a number card ) = (e) P( black and a face card ) = 34/52 0/52 2/52 52/52 8/ (1 pt) Consider the experiment where a pair of fair dice is thrown. Let X denote the random variable whose value is determined by taking the maximum of the spots showing on either of the two dice thrown. For example, if a 3 and a 5 were thrown, then X would take the value of Maximum(3,5) = 5. The range of values that X can assume are the positive integers 1,2,3,4,5,6.

7 Please give the corresponding probabilities for the values of X given below. Pr(X = 1) = Pr(X = 2) = Pr(X = 3) = Pr(X = 4) = Pr(X = 5) = Pr(X = 6) = Further, find the probability that X is divisible by 3. Probability that X is divisible by 3 equals (1 pt) The boxplot below represents annual salaries of attorneys in thousands of dollars in Los Angeles. About what percentage of the attorneys have salaries between $155,000 and $299,000?. 40%. 75% C. 80%. None of the Above 30. (1 pt) Which of the following are true?. All the data values for boxplot D1 are greater than the median value for D2. 7. At least three quarters of the data values represented in D1 are greater than the median value of D3. C. At least one quarter of the data values for D3 are less than the median value for D2. The data represented in D2 is symmetric. E. The data for D1 has a greater median value than the data for D3. BCE 31. (1 pt) Harry tosses a nickel 4 times. The probability that he gets at least as many heads as tails is. Solution Notice that he can get 4 heads in just one way: namely HHHH. He can get 3 heads in four ways: HHHT (that is, a tail on his last toss), HHTH ( a tail on his next to last toss), HTHH, and THHH ; He can get 2 heads in 6 ways: HHTT, HTHT, HTTH, THHT, THTH, THHT, TTHH. Since there are 2 4 = 16 ordered ways that the nickel can land, the probability of at least two heads (which guarantees that he gets at least as many heads as tails) is = Another way of thinking of it is that after computing the number of ways of getting 4, 3, 2 heads, we know there are 5 ways that heads exceed tail and that means that there must be 5 ways that tails exceed heads so we don t really need to do anything more to know the denominator. 11/ (1 pt) A red die (sometimes called a number cube) and a blue die are tossed Determine the probability of the red die showing a 3 and the blue die showing a 4 as a reduced fraction. Solution The probability of the red die showing a 3 is 1 6 since the die has six faces and only one shows a 3. Similarly the probability of the blue die showing a 4 is 6 1. So the probability of both happening is = / (1 pt) If A and B are two mutually exclusive events with P(A) = 0.3 and P(B) = 0.6, find the following probabilities: a) P(A and B) = b) P(A or B) = c) P(not A) =

8 d) P(not B) = e) P(not (A or B)) = f) P(A and (not B)) = (1 pt) If P(A) = 0.7, P(B) = 0.45 and P(A and B) = 0.2, find the following probabilities: a) P(A or B) = b) P(not A) = c) P(not B) = d) P(A and (not B)) = e) P(not (A and B)) = (1 pt) The sample space for an experiment contains five sample points. The probabilities of the sample points are: P(1) = P(2) = 0.15 P(3) = P(4) = 0.2 P(5) = 0.3 Find the probability of each of the following events: A : { Either 3 or 5 occurs } B : { Either 3, 1, or 4 occurs } C : { 2 does not occur } P(A) = P(B) = P(C) = (1 pt) A fair coin is tossed three times and the events A, B, and C are defined as follows: A : { At least one head is observed } B : { At least two heads are observed } C : { The number of heads observed is odd } Find the following probabilities by summing the probabilities of the appropriate sample points: (a) P(A) = (b) P(A C) = (c) P(A B C) = Generated by c WeBWorK, Mathematical Association of America 8

Sem. 1 Review Ch. 1-3

AP Stats Sem. 1 Review Ch. 1-3 Name 1. You measure the age, marital status and earned income of an SRS of 1463 women. The number and type of variables you have measured is a. 1463; all quantitative. b.