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# True false 19 for a binomial probability experiment

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Unformatted text preview: of the standard deviation 25. Values of the standard normal random variable are measured A. With reference to specific units B. In the units in which the mean is measured C. In the number of standard deviations from the mean D. In squared units in which the mean is measured E. None of the above 1-440 Chapter 01 - An Introduction to Business Statistics 26. If the random variable X has a mean of µ and a standard deviation σ then (X - µ)/σ has a mean and standard deviation respectively: A. and B. and s C. 1 and 0 D. 0 and 1 27. Which of the following is a continuous distribution? A. Poisson B. Hypergeometric C. Exponential D. Binomial 28. The price-to-earning ratio for firms in a given industry is distributed according to normal distribution. In this industry, a firm with a standard normal variable value of Z = 1: A. Has an above average price-to-earning ratio. B. Has a below average price-to-earnings ratio. C. Has an average price-to-earnings ratio. D. May have an above average or below average price-to-earnings ratio. 29. The normal approximation of the binomial distribution is appropriate when: A. np ≥ 5 B. n(1 - p) ≥ 5 C. np ≤ 5 D. n(1 - p) ≤ .5 and np ≤ 5 E. np ≥ .5 and n(1 - p) ≥ 5 30. If the wages of workers for a given company are normally distributed with a mean of \$15 per hour, then the proportion of the workers earning more than \$13 per hour: A. Is greater than the proportion earning less than \$13 per hour. B. Is greater than the proportion earning less than \$18 per hour. C. Is less than 50%. D. Is less than the proportion earning more than the mean wage. 1-441 Chapter 01 - An Introduction to Business Statistics 31. A student's grade on an examination was transformed to a z value which is negative. Therefore, we know that he scored: A. Higher than 16% of the class B. Higher than 45% of the class C. Above the first quartile D. Below the mean E. Lower than 16% of the class 32. A study shows that employees that begin their work day at 9:00 a.m. vary their times of arrival uniformly from 8:40 a.m. to 9:30 a.m. The probability that a randomly chosen employee reports to work between 9:00 and 9:10 is: A. 40% B. 20% C. 10% D. 30% E. 16.7% 33. The relationship between the standard normal random variable Z and normal random variable X is that: A. Only the normal random variable X is continuous. B. Only the standard normal variable Z is continuous. C. The standard normal variable Z counts the number of standard deviations that the value of the normal random variable X is away from its mean. D. The values of the standard normal random variable Z cannot be negative. E. The values of the normal random variable X cannot be negative. 34. The MPG (Miles per Gallon) for a mid-size car is normally distributed with a mean of 32 and a standard deviation of .8. What is the probability that the MPG for a selected mid-size car would be: Less than 33.2? A. 43.32% B. 6.68% C. 93.32% D. 86.64% E. 13.36% 1-442 Chapter 01 - An Introduction to Business Statistics 35. The MPG (Miles per Gallon) for a mid-size car is normally distributed with a mean of 32 and a standard deviation of .8. What is the probability that the MPG for a selected mid-size car would be: More than 33.2? A. 43.32% B. 6.68% C. 93.32% D. 86.64% E. 13.36% 36. The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. If we select one box of cereal at random from this population, what is the probability that it will weigh less than 900 grams? A. 4772 B. .9772 C. .9544 D. .0228 E. .0456 37. The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. If we select one box of cereal at random from this population, what is the probability that it will weigh more than 904 grams? A. .8849 B. .3849 C. .1151 D. .7698 E. .2302 1-443 Chapter 01 - An Introduction to Business Statistics 38. The fill weight of a certain brand of adult cereal is normally distributed with a mean of 910 grams and a standard deviation of 5 grams. We calculated the value of z for a specific box of this brand of cereal and the z value was negative. This negative z value indicates that: A. We made a mistake in our calculations, as z must always be a nonnegative number. B. The fill weight exceeds 910 grams. C. The fill weight is less than 910 grams. D. The fill weight is equal to 910 grams. E. The fill weight may be more or less than 910 grams depending on the value of the standard deviation. 39. Which of the following statements is not a property of the normal probability distribution? A. The normal distribution is symmetric. B. 95.44% of all possible observed values of the random variable x are within plus or minus three standard deviations of the population mean. C. The mean, median, and mode are equal. D. The area under the normal curve to the right of the mean is equal to the area under the normal curve to the left of the mean. E. All of the above answ...
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