Question

The lifespans (in years) of ten beagles were 10; 7; 12; 10; 12; 12; 10; 6; 11; 10. Calculate the range of the dataset. Question 4 options: 1) 10 2) 6 3) 2.05 4) 9 5) 1.8 A new marketing campaign is being released by PepsiCo to promote their Rockstar energy drink line this summer and is expecting an increase in sales volume. Currently, daily sales average $1,575.35 with a standard deviation of $21.383. Daily sales figures are compiled in a dataset and to forecast the change, 25.77 is added to every observation in the dataset. What is the new mean for daily sales? Question 5 options: 1) 61.13 2) 1,601.12 3) 25.77 4) 1,575.35 5) 40,596.77 A breeder is trying to forecast the number of dogs they will need to house each year for the next five years. As a general rule, the average and standard deviation of the breeding pairs on hand are 8.5 and 2 respectively. To predict the number of puppies born in each of the next five years, every observation in the dataset is multiplied by 5. What will the new mean be? Question 6 options: 1) 1.7 2) 42.5 3) 5 4) 8.5 5) 13.5 The five-number summary for a dataset on Miles Per Gallon is given in the table below. Using this information, calculate the percent of values between 9.7 and 27.5. Question 7 options: 1) 100% 2) 50% 3) 75% 4) 0% 5) 25% The average height of an adult male is 63.27" with a standard deviation of 2.66". Calculate an interval that is symmetric around the mean such that it contains approximately 68% of heights. Assume that height has a normal distribution. Question 8 options: 1) (68.59, 57.95) 2) (60.61, 65.93) 3) (63.27, 2.66) 4) (57.95, 68.59) 5) (65.93, 60.61) If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 65.9 and standard deviation 1.73, what is the probability that a randomly chosen golfer's score is below 65 strokes? Question 9 options: 1) We do not have enough information to calculate the value. 2) 0.3015 3) 0.8315 4) 0.6985 5) 0.1685 If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 69.3 and standard deviation 2.58, what is the probability that a randomly chosen golfer's score is below 70 strokes? Question 10 options: 1) 0.8347 2) 0.1653 3) 0.3931 4) We do not have enough information to calculate the value. 5) 0.6069 The daily stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when adjusting for inflation) with a mean of $134.974 and standard deviation of $4.5314. Approximately 81.86% of days IBM had a stock price greater than what dollar amount? Question 11 options: 1) 116.29 2) 153.66 3) We do not have enough information to calculate the value. 4) 139.1 5) 130.85 Suppose that one-way commute times in a particular city are normally distributed with a mean of 24.88 minutes and a standard deviation of 2.495 minutes. Would it be unusual for a commute time to be between 27 and 27.9 minutes? Question 12 options: 1) A value in this interval is not unusual. 2) A value in this interval is borderline unusual. 3) A value in this interval is unusual. 4) It is impossible for a value in this interval to occur with this distribution of data. 5) We do not have enough information to determine if a value in this interval is unusual. Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.13. If a shipment of 155 bulbs is sent out, the number of defective bulbs in the shipment should be around , give or take . Assume each bulb is independent. Question 13 options: 1) 4.1869 , 20.15 2) 20.15 , 0.13 3) 20.15 , 17.53 4) 20.15 , 4.1869 5) 155 , 4.1869 Apple's market share in the smartphone market represents a proportion of 0.1974. If Apple conducts a survey nationwide of 512 smartphone users, what is the probability that greater than 83 of the people are Apple users? Question 14 options: 1) 0.9822 2) 0.0058 3) 0.9764 4) 0.0236 5) 0.0029 Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3096. If the player has 39 at-bats during a week, what's the probability that he gets no more than 12 hits? Question 15 options: 1) 0.5670 2) 0.4298 3) 0.1373 4) 0.4330 5) 0.0686

          The lifespans (in years) of ten beagles were 10; 7; 12; 10; 12; 12; 10; 6; 11; 10. Calculate the range of the dataset.

Question 4 options:
1) 10
2) 6
3) 2.05
4) 9
5) 1.8

A new marketing campaign is being released by PepsiCo to promote their Rockstar energy drink line this summer and is expecting an increase in sales volume. Currently, daily sales average $1,575.35 with a standard deviation of $21.383. Daily sales figures are compiled in a dataset and to forecast the change, 25.77 is added to every observation in the dataset. What is the new mean for daily sales?

Question 5 options:
1) 61.13
2) 1,601.12
3) 25.77
4) 1,575.35
5) 40,596.77

A breeder is trying to forecast the number of dogs they will need to house each year for the next five years. As a general rule, the average and standard deviation of the breeding pairs on hand are 8.5 and 2 respectively. To predict the number of puppies born in each of the next five years, every observation in the dataset is multiplied by 5. What will the new mean be?

Question 6 options:
1) 1.7
2) 42.5
3) 5
4) 8.5
5) 13.5

The five-number summary for a dataset on Miles Per Gallon is given in the table below. Using this information, calculate the percent of values between 9.7 and 27.5.

Question 7 options:
1) 100%
2) 50%
3) 75%
4) 0%
5) 25%

The average height of an adult male is 63.27" with a standard deviation of 2.66". Calculate an interval that is symmetric around the mean such that it contains approximately 68% of heights. Assume that height has a normal distribution.

Question 8 options:
1) (68.59, 57.95)
2) (60.61, 65.93)
3) (63.27, 2.66)
4) (57.95, 68.59)
5) (65.93, 60.61)

If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 65.9 and standard deviation 1.73, what is the probability that a randomly chosen golfer's score is below 65 strokes?

Question 9 options:
1) We do not have enough information to calculate the value.
2) 0.3015
3) 0.8315
4) 0.6985
5) 0.1685

If the scores per round of golfers on the PGA tour are approximately normally distributed with mean 69.3 and standard deviation 2.58, what is the probability that a randomly chosen golfer's score is below 70 strokes?

Question 10 options:
1) 0.8347
2) 0.1653
3) 0.3931
4) We do not have enough information to calculate the value.
5) 0.6069

The daily stock price for International Business Machines (IBM) historically has followed an approximately normal distribution (when adjusting for inflation) with a mean of $134.974 and standard deviation of $4.5314. Approximately 81.86% of days IBM had a stock price greater than what dollar amount?

Question 11 options:
1) 116.29
2) 153.66
3) We do not have enough information to calculate the value.
4) 139.1
5) 130.85

Suppose that one-way commute times in a particular city are normally distributed with a mean of 24.88 minutes and a standard deviation of 2.495 minutes. Would it be unusual for a commute time to be between 27 and 27.9 minutes?

Question 12 options:
1) A value in this interval is not unusual.
2) A value in this interval is borderline unusual.
3) A value in this interval is unusual.
4) It is impossible for a value in this interval to occur with this distribution of data.
5) We do not have enough information to determine if a value in this interval is unusual.

Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.13. If a shipment of 155 bulbs is sent out, the number of defective bulbs in the shipment should be around __________, give or take __________. Assume each bulb is independent.

Question 13 options:
1) 4.1869 , 20.15
2) 20.15 , 0.13
3) 20.15 , 17.53
4) 20.15 , 4.1869
5) 155 , 4.1869

Apple's market share in the smartphone market represents a proportion of 0.1974. If Apple conducts a survey nationwide of 512 smartphone users, what is the probability that greater than 83 of the people are Apple users?

Question 14 options:
1) 0.9822
2) 0.0058
3) 0.9764
4) 0.0236
5) 0.0029

Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3096. If the player has 39 at-bats during a week, what's the probability that he gets no more than 12 hits?

Question 15 options:
1) 0.5670
2) 0.4298
3) 0.1373
4) 0.4330
5) 0.0686

Added by Mark N.

MATHEMATICS 1. The measure of location which is the most likely to be influenced by extreme values in the data set is the a. range b. median c. mode d. mean 2. If two events are independent, then a. they must be mutually exclusive b. the sum of their probabilities must be equal to one c. their intersection must be zero d. None of these alternatives is correct. any value between 0 to 1 3. Two events, A and B, are mutually exclusive and each have a nonzero probability. If event A is known to occur, the probability of the occurrence of event B is a. one b. any positive value c. zero d. 4. A numerical description of the outcome of an experiment is called a a. descriptive statistic b. probability function c. variance d. random variable 5. In the textile industry, a manufacturer is interested in the number of blemishes or flaws occurring in each 100 feet of material. The probability distribution that has the greatest chance of applying to this situation is the a. normal distribution b. binomial distribution c. Poisson distribution d. uniform distribution 6. Which of the following is not a. a property of a binomial experiment? the experiment consists of a sequence of n identical trials b. each outcome can be referred to as a success or a failure c. the probabilities of the two outcomes can change from one trial to the next d. the trials are independent 7. The level of significance is the a. maximum allowable probability of Type II error b. maximum allowable probability of Type I error c. same as the confidence coefficient d. same as the p-value 8. An important application of the chi-square distribution is a. making inferences about a single population variance b. c. b. testing for goodness of fit testing for the independence of two variables d. All of these alternatives are correct. 9. For a continuous random variable x, the probability density function f(x) represents a. the probability at a given value of x the area under the curve at x c. the area under the curve to the right of x d. the height of the function at x 10. Convenience sampling is an example of a. probabilistic sampling b. stratified sampling c. nonprobabilistic sampling d. cluster sampling 11. In hypothesis testing, the hypothesis tentatively assumed to be true is a. the alternative hypothesis b. the null hypothesis c. either the null or the alternative d. None of these alternatives is correct. 12. In point estimation a. data from the population is used to estimate the population parameter b. data from the sample is used to estimate the population parameter c. data from the sample is used to estimate the sample statistic d. the mean of the population equals the mean of the sample a constant variable c. a dummy variable d. None of these alternatives is correct. 13. A variable that takes on the values of 0 or 1 and is used to incorporate the effect of qualitative variables in a regression model is called a. an interaction b. 14. A property of a point estimator that occurs whenever larger sample sizes tend to provide point estimates closer to the population parameter is known as a. efficiency b. unbiased sampling c. consistency d. relative estimation 15. If a hypothesis is rejected at the 5% level of significance, it a. will always be rejected at the 1% level b. will always be accepted at the 1% level c. will never be tested at the 1% level d. may be rejected or not rejected at the 1% level 16. Which of the following does not need to be known in order to compute the p-value? a. knowledge of whether the test is one-tailed or two-tailed b. the value of the test statistic c. the level of significance d. None of these alternatives is correct. 17. The ANOVA procedure is a statistical approach for determining whether or not a. the means of two samples are equal b. the means of two or more samples are equal c. the means of more than two samples are equal d. the means of two or more populations are equal 18. The range of the Durbin-Watson statistic is between a.1 to 1 b. 0 to 1 c.infinity to + infinity d. 0 to 4 19. A random sample of 121 bottles of cologne showed an average content of 4 ounces. It is known that the standard deviation of the contents (i.e., of the population) is 0.22 ounces. In this problem the 0.22 is a. a parameter b. a statistic c. the standard error of the mean d. the average content of colognes in the long run 20. Maria is 6 times as old as Tina. In 20 years, Maria will be only twice as old as Tina. How old is Maria now? A) 25 B) 28 C) 29 D) 30 21. If a secretary types 60 words per minute, how many minute will he take to type 330 words? A) 11/2 B) 15/2 C) 16/3 D) 17/2 E) 19/4 22. If Scott can mow 2/5 of a lawn each hour, how many lawns can he mow in h hours? A) 2h/5 B) 5h/2 C) h-2/5 D) 2/5h E) 5/2h 23. If it is now June, what month will it be 100 months from now? A) January B) April C) June D) October E) December 24. In a group of 100 students, more students are on a team than are members of a club. If 70 are in clubs and 20 are neither on a team nor in a club, what is the minimum number of student who could be both on a team and in a club? A) 61 B) 62 C) 65 D) 70 E) 75 25. A student bought 3 notebooks and 1 pen for N35. After misplacing these items, she again bought 2 note books and 2 pens, all of the same type for N30. What is the cost of a pen? A) N5.00 B) N7.50 C) N10.00 D) N15.00 26. If the simple interest on N2, 000 after 9 months is N6, at what rate per annum is the interest charged? A) 21.4% B) 4% C) 5% D) 6% 27. A man bought a television set on hire purchase for N25, 000 out of which he paid N10,000. If he is allowed to pay the balance in eight equal installments, find the value of each Installment. A) N1250 B) N1578 C) N1875 D) N3125 28. A car moves at an average speed of 30kmh-1, how long does it take to cover 200 metres? A) 2.4Sec B) 24Sec C) 144Sec D) 240Sec 29. A man bought 2220 mangoes at N5x. He sold each for 3x kobo and made gain of N8. Find the value of x. A) 2 B) 5 C) 6 D) 10 30. The side of a square is increased from 20cm to 21cm. Calculate the percentage increase in its area. A) 2.5% B) 9.3% C) 10.0% D) 10.25% 31. A house bought for N100,000 was later auctioned for N80,000, Find the loss percent. A) 20% B) 30% C) 40% D) 50% 32. An article bought for D5,000.00 depreciate by 15% of its value during the first year. Find its value after a year. A) D425.00 B) D750.00 C) D4,250.00 D) D4,985.00 33. A trader sold a pair of shoes for C 2,800.00 making a loss of 20% on his cost price. Find his loss as a percentage of his selling price. A) 162/3% B) 2% C) 25% D) 75% 34. The price of a litre of petrol is increased from C30.00 to C 39.00 . What is the percentage increase in the cost of a litre of petrol ? A) 90% B) 30% C) 34% D) 39% 35. A rectangle is twice as long as it is wide. If the width is a, what is the length of a diagonal? A) a√2 B) a√3 C) a√5 D) 3a E) 5a 36. Last year Jose sold a painting for $2000. If he made 25% profit on the sale, how much had he paid for the painting? A) $1200 B) $1500 C) $1600 D) $2400 E) $2500 37. A lacrosse team raised some money. The members used 74% of the money to buy uniform, 18% for equipment, and the remaining $216 for a team party. How much money did they raise? A) $2400 B) $2450 C) $2500 D) $2600 E) $2500 38. If the length of a rectangle is 4 times its width, and if its area is 144, what is its perimeter? A) 6 B) 24 C) 30 D) 60 E) 96 39. If the measures of the angles of a triangle are in the ratio of 1:2:3, and if the perimeter of the triangle is 30 + 10 (3)½, what is the length of the smallest side? A) 20 B) 18 C) 15 D) 12 E) 10 40. Last year Jose sold a painting for $2000. If he made a 25% profit on the sale, how much had he paid for the painting? A. $1200 C. $1500 C. $1600 D. $2400 E. $2500. 41. A lacrosse team raised some money. The members used 74% of the money to buy a uniform, 18% for equipment, and the remaining $216 for a team party. How much money did they raise? A. 2400 B. 2450 C. 2500 D. 2600 42. If the measures of the angles of a triangle are in the ratio of 1:2:3, and if the perimeter of the triangle is 30 + 10 (3)½, what is the length of the smallest side? A. 20 B. 18 C. 15 D. 12 E. 10 43. If the difference between the measures of the two smaller angles of a right triangle is 200, what is the measure, in degrees, of the smallest angle? A. 30 B. 35 C. 40 D. 45 E. 50 44. In an office, there was a small cash box. One day Ann took half of the money plus $1 more. Then Dan took half of the money plus $1 more. Stan then took the remaining $11. How many dollars were originally in the box? A. $50 B. $45 C. $42 D. $40 E. $38 45. Each of the 10 players on the basketball team shot 100 free throws, and the average number of baskets made was 75. When the highest and lowest scores were eliminated the average number of baskets for the remaining 8 players was 79. What is the smallest number of baskets anyone could have made? A. 22 B. 20 C. 18 D. 16 E. 14 46. Since 1950, when Martin graduated from high school, he has gained 2 pounds every year. In 1980 he was 40% heavier than in 1950. What percent of his 1995 weight was his 1980 weight? A. 80 B. 85 C. 87.5 D. 90 47. Karen played a game several times. She received $5 every time she won and had to pay $2 every time she lost. If the ratio of the number of times she won to the number of times she lost was 3:2, and if she won a total of $66, how many times did she play the game? A. 30 B. 35 C. 40 D. 45 E. 48 48. Henry drove 100 miles to visit a friend. If he had driven 8 miles per hour faster than he did, he would have arrived in 5/6 of the time he actually tokes. How many minutes did the trip take? A. 100 B. 120 C. 125 D. 144 E. 150 49. Two printing presses working together can complete a job in 2.5 hours. Working alone, press A can do the job in 10 hours. How many hours will press B take to do the job by itself? A. 10/3 B. 4 C. 5 C. 25/4 E. 15/12 50. If flyers for Aardvark Cellular cost $150 per thousand. Approximately, how many thousand have been produced? A. 23 B. 20 C. 17 D. 14 E. 18

Adi S.

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