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1. In a survey of a random sample of n = 950 college students, 12.4% of the students in the sample indicate that they plan
1. In a survey of a random sample of n = 950 college students, 12.4% of the students in the sample indicate that they plan to spend at least part of their Spring Break getting ahead in their courses. This means the sample proportion would be equal to approximately A. 0.013. B. 0.624. C. 0.950. D. 0.118. E. 0.124. 2. A fair coin can land either on the tails side (T) or on the heads side (H). Suppose you toss a fair coin 9 times, and the outcomes are TTTTTTTTT. The probability that heads (or H) will be the outcome on the tenth toss is A. 0. B. 0.5. C. 1. D. greater than 0.5 but less than 1. E. greater than 0 but less than 0.5. 3. Which one of the following statements is true? A. If most of the cars in a parking garage are black, the probability that you randomly select one car and observe it to be black would have to be larger than 1. B. An event that rarely ever occurs will have a negative probability. C. If there are two possible outcomes of a random phenomenon, each outcome must have a probability of 0.50. D. Chance behavior is predictable in the long run but has an unpredictable pattern in the short run. E. The probability that an event does not occur is equal to 1 plus the probability the event does occur.4. A local department store sometimes presents shoppers with a scratch-off card when they are paying for their items at the cash register. This card reveals an extra discount that customers can receive on their purchase. The cards offer a discount of 5%, 10%, 15%, 20%, 25%, or 30% off the total purchase price. The table below presents the probability of receiving different types of discounts. Based on this probability model, what is the probability of a customer receiving at most a 20% discount? Amount of 5% 10% 15% 20% 25% 30% discount Probability 0.18 0.20 0.22 0.25 0.07 0.08 A. 0.20 B. 0.25 C. 0.40 D. 0.85 E. 0.15 5. Many adults were forced to work from home due to the pandemic. Once restrictions were eased and people could again leave the house for work purposes, a report was published that claimed that 75% of employees actually prefer being able to work from home. Imagine that we have been able to select a random sample of 500 employees, and we ask this sample if they prefer to work from home. We then determine the percentage in the sample who say "yes." We know, if the sampling method is repeated, that the sample percentage who say "yes" will vary from sample to sample. In fact, if we look at the resulting sampling distribution in this case, we will see a distribution that is Normal in shape, with a mean (or center) of 75% and a standard deviation of 1.9%. From this information, we know the middle 95% of this sampling distribution will be between approximately what two values? A. 72% and 77% B. 73.1% and 76.9% C. 71.2% and 78.8% D. 69.3% and 75% E. 75% and 80.7%6. Is it too expensive to live a healthy lifestyle? According to a recent news report, the proportion of all adults who think that yes, a healthy lifestyle is too expensive, is equal to 0.59. Imagine that we have been able to select a random sample of 260 adults, and we ask this sample if they believe it's too expensive to live a healthy lifestyle. We then determine the proportion in the sample who say "yes." If the sampling method is repeated, we know that the proportion who say "yes" will vary from sample to sample. The resulting sampling distribution will be Normal in shape, with a mean (or center) of 0.59 and a standard deviation of 0.031. Based on this information, what would be the probability of obtaining a sample of size n = 260 adults where the proportion who say they believe it's too expensive to live a healthy lifestyle is 0.57 or less? A. 0.2742 B. 0.0548 C. 0.6179 D. 0.7258 E. 0.3821 7. Return to the information presented in Question 6. What would be the probability of obtaining a sample of size n = 260 adults where the proportion who say they believe it's too expensive to live a healthy lifestyle is 0.63 or more? A. 0.5398 B. 0.0968 C. 0.1587 D. 0.9032 E. 0.0107 8. Which one of the following statements about the sampling distribution of the sample proportion is correct? A. The size of the sample determines the size of the standard deviation of the sampling distribution. B. The size of the population determines the size of the standard deviation of the sampling distribution. C. As the sample size gets smaller, the standard deviation of the sampling distribution gets smaller. D. The sampling distribution is composed of a collection of many population parameters. E. Regardless of the sample size, the sampling distribution will always have a shape that is characterized as being skewed to the right.There are four main blood types: A, B, AB, and O. A report is published that says that 40% ofthe United States population has Type A blood, 11% has Type B blood, 45% has Type 0 blood, and the rest have Type AB blood. Given what you know about probability and probability models, which one ofthe following statements is correct? A. A person either has Type AB blood or not, so the probability of having Type AB blood is 0.50. B. Adding together 0.40 (the probability of having Type A blood) and 0.11 (the probability ofhaving Type B blood) will give us the probability ofhaving Type AB blood. . Multiplying 0.40 (the probability of having Type A blood) and 0.11 (the probability ofhaving Type B blood) will give us the probability ofhaving Type AB blood. . If we randomly select one person from the United States population, there is a 29% chance that person will have either Type A or Type B blood. . If we randomly select one person from the United States population, there is a 49% chance that person will have either Type O or Type AB blood. 10. Dwight recently discovered that the population proportion of beet farmers in Pennsylvania is 0.47. Suppose Dwight selects a random sample Of 325 farmers from Pennsylvania and determines the proportion within the sample who grow beets. If this sampling process is repeated many times, we can build a sampling distribution. We know in this case that the sampling distribution will be Normal, with a mean of 0.47 and a standard deviation of . A. 0.0001 B. 0.0555 C. 0.0277 D. 0.0015 E. 0.2491
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