Ch. 6 Quiz 6 (PSYC 2013, NWACC) – Flashcards

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question
Q: What z-score value separates the highest 70% of the scores in a normal distribution from the lowest 30%?
answer
z = -0.52
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Q: A normal distribution has a mean of m = 70 with s = 12. If one score is randomly selected from this distribution, what is the probability that the score will be greater than X = 55?
answer
0.8944
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Q: What proportion of a normal distribution is located in the tail beyond z = 1.50?
answer
0.0668
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Q: A normal distribution has a mean of m = 24 with s = 3. What is the minimum score needed to be in the top 14% of the distribution?
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X = 27.24
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Q: IQ scores form a normal distribution with m = 100 and s = 15. Individuals with IQs above 140 are classified in the genius category. What proportion of the population consists of geniuses?
answer
0.0038
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T/F: If one score is randomly selected from a normal distribution with m = 100 and s = 20, the probability of obtaining a score between X = 80 and X = 120 is p = 0.3413.
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False
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Q: What z-score value separates the highest 10% of the scores in a normal distribution from the lowest 90%?
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z = 1.28
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Q: A vertical line drawn through a normal distribution at z = -1.00 separates the distribution into two sections, the body and the tail. What proportion of the distribution is in the body?
answer
0.8413
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T/F: For a normal distribution, the proportion located between z = -1.00 and z = +1.00 is p = 34.13%
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False
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T/F: The tail is on the right side of a normal distribution for any z-score value greater than zero.
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True
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Q: A normal distribution has a mean of m = 40 with s = 10. If a vertical line is drawn through the distribution at X = 35, what proportion of the scores are on the left side of the line?
answer
0.3085
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T/F: For any normal distribution, the probability of randomly selecting a z-score less than z = 1.40 is p = 0.9192.
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True
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Q: A normal distribution has a mean of m = 80 with s = 20. What score separates the highest 15% of the distribution from the rest of the scores?
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X = 100.8
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Q: Which of the following accurately describes the proportions in the tails of a normal distribution?
answer
Proportions in both tails are less than 0.50.
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T/F: A vertical line drawn through a normal distribution at z = -0.75 separates the distribution into two sections. The proportion in the smaller section is 0.2734.
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True
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Q: What proportion of a normal distribution is located between the mean and z = -1.40?
answer
0.4192
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T/F: For a normal distribution with m = 100 and s = 20, the score that separates the top 60% of the distribution from the bottom 40% is X = 105.
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False
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T/F: For a normal distribution, the proportion located between z = -1.00 and z = +1.00 is p = 34.13%
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False
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Q: What z-score values form the boundaries for the middle 60% of a normal distribution?
answer
z = +0.84 and z = -0.84
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Q: A vertical line is drawn through a normal distribution at z = 1.20. What proportion of the distribution is on the left-hand side of the line?
answer
0.8849
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T/F: For any normal distribution, the proportion in the tail beyond z = 2.00 is p = 0.0228.
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True
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Q: A normal distribution has a mean of m = 80 with s = 20. What score separates the highest 40% of the distribution from the rest of the scores?
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X = 85
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Q: A normal distribution has a mean of m = 100 with s = 20. If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 90 and X = 110?
answer
0.3830
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T/F: For a normal distribution with m = 50 and s = 10, the line separating the highest 10% of the scores from the rest is located at X = 51.28.
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False
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T/F: A vertical line drawn through a normal distribution at z = 1.40 divides the distribution into two sections. The proportion in the smaller section is 0.0808.
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True
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Q: What proportion of a normal distribution is located between z = -1.50 and z = +1.50?
answer
0.8664
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T/F: For a normal distribution, the proportion in the tail beyond z = -2.00 is equal to -0.0228.
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False
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T/F: For a normal distribution, proportions in the right-hand tail are positive, and proportions in the left-hand tail are negative.
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False
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Q: Which of the following is a requirement for a random sample?
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All of the other 3 choices are correct.
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T/F: The probability of randomly selecting a red marble from a jar that contains 10 red marbles and 20 blue marbles is 1/30.
answer
False
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Q: A normal distribution has a mean of m = 70 with s = 12. If one score is randomly selected from this distribution, what is the probability that the score will be greater than X = 58?
answer
0.8413
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T/F: If one score is randomly selected from a normal distribution with m = 100 and s = 20, the probability of obtaining a score between X = 90 and X = 100 is p = 0.3085.
answer
False
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Q: A vertical line is drawn through a normal distribution at z = 0.80. What proportion of the distribution is on the right-hand side of the line?
answer
0.2119
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Q: Scores on the SAT form a normal distribution with a mean of m = 500 with s = 100. If the state college only accepts students who score in the top 60% on the SAT, what is the minimum score needed to be accepted?
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X = 475
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Q: A class consists of 10 males and 30 females. If one student is randomly selected from the class, what is the probability of selecting a male?
answer
10/40
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Q: A normal distribution has a mean of m = 100 with s = 20. If one score is randomly selected from this distribution, what is the probability that the score will have a value between X = 80 and X = 100?
answer
0.3413
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Q: A normal distribution has a mean of m = 40 with s = 10. If a vertical line is drawn through the distribution at X = 55, what proportion of the scores are on the right side of the line?
answer
0.0668
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Q: A vertical line drawn through a normal distribution at z = -1.00 separates the distribution into two sections, the body and the tail. What proportion of the distribution is in the body?
answer
0.8413
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Q: John drives to work each morning, and the trip takes an average of m = 38 minutes. The distribution of driving times is approximately normal with a standard deviation of s = 5 minutes. For a randomly selected morning, what is the probability that John's drive to work will take less than 35 minutes?
answer
0.2743
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