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MAT 155 Chapter 6 The following is a brief review of Chapter 6. This does NOT cover all the material in that chapter. Click on Slide Show and View Slide Show. Read and note your answer to the question. Advance the slide to see the answer. Thanks to Ms. Valerie Melvin for her portion of this review. Dr. Claude Moore, Math Instructor, CFCC Assume that the weight loss for the first six months of a diet program varies between 6 and 12 pounds and is spread evenly over the range of possibilities so that there is a uniform distribution. Find the probability of losing less than 10 pounds. 25% 1. 2. 3. 4. 25% 25% 2 3 25% 5/7 2/3 1/3 1/6 1 4 A recent survey based upon a random sample of 420 voters predicted that the independent candidate for the mayoral election will get 24% of the vote but he actually gets 27%. Can you conclude that the survey was done incorrectly? 50% 50% 1. Yes 2. No 1 2 If Z is a standard normal variable, find the probability that Z lies between 0.7 and 1.98. 1. 2. 3. 4. 0.2175 - 0.2181 1.7341 0.2181 25% 1. 25% 25% 2 3. 25% 4. The final exam in MAT 160 has a mean of 73 and a standard deviation of 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is less than 70. 1. 2. 3. 4. 0.1006 0.0298 0.0301 0.8966 25% 1. 25% 25% 2. 3. 25% 4. Assume that thermometer readings are normally distributed with a mean of 0 degrees Celsius and a standard deviation of 1.00 degrees. A thermometer is randomly selected and tested. Find the probability that the reading is less than – 2.75. 1. 2. 3. 4. 0.003 0 0.050 0.009 25% 1. 25% 25% 2 3. 25% 4. Assume that thermometer readings are normally distributed with a mean of 0 degrees Celsius and a standard deviation of 1.00 degrees. A thermometer is randomly selected and tested. Find the probability that the reading is between 1.00 and 3.00. 25% 1. 2. 3. 4. 0.0540 0.2356 0.1573 0.9460 1. 25% 25% 2. 3. 25% 4. Assume that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the probability that a randomly selected adult has an IQ greater than 131.5. 25% 1. 2. 3. 4. 0.1786 0.2456 0.9821 0.0179 1. 25% 25% 2. 3. 25% 4. Assume that SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325. If 1 SAT score is randomly selected, find the probability that it is less than 1550. 1. 2. 3. 4. 0.9999 0.3922 0.5392 0.5221 25% 1. 25% 25% 2. 3. 25% 4. Assume that SAT scores are normally distributed with a mean of 1518 and a standard deviation of 325. If 25 SAT scores are randomly selected, find the probability that they have a mean that is less than 1550. 1. 2. 3. 4. 0.6887 0.8997 0.00544 0.5392 25% 1. 25% 25% 2. 3. 25% 4.