Elementary Statistics Chapter 5 Test C

# Elementary Statistics Chapter 5 Test C - Elementary...

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Elementary Statistics Chapter 5 Test - Form C Name:___________________________ Course Number: __________ Section Number: _____ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. 1) Lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation of 15 days. (a) Find the probability of a pregnancy lasting more than 250 days. (b) Find the probability of a pregnancy lasting more than 280 days. These two problems can be solved by the same procedure. Draw the diagram for each and discuss the difference. Then, explain why the same procedure can be used. 2) SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on the data from the College Board ATP). If a sample of 15 students is selected randomly, find the probability that the sample mean is above 500. Does the Central Limit theorem apply for this problem? MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Using the following uniform density curve, answer the question. 3) What is the probability that the random variable has a value greater than 3.5? A) 0.4375 B) 0.5125 C) 0.5625 D) 0.6875 Assume that the weight loss for the first month of a diet program varies between 6 pounds and 12 pounds, and is spread evenly over the range of possibilities, so that there is a uniform distribution. Find the probability of the given range of pounds lost. 4) Between 9 pounds and 12 pounds A) 1 2 B) 1 3 C) 1 4 D) 2 3 If Z is a standard normal variable, find the probability.

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5) P(-0.73 < Z < 2.27) A) 0.7557 B) 0.2211 C) 1.54 D) 0.4884 1 Elementary Statistics Chapter 5 Test - Form C The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0eC at the freezing point of water. Tests on a large sample of these thermometers reveal that at the freezing point of water, some give readings below 0eC (denoted by negative numbers) and some give readings above 0eC (denoted by positive numbers). Assume that the mean reading is 0eC and the standard deviation of the readings is 1.00eC. Also assume that the frequency distribution of errors closely resembles the normal distribution. A thermometer is randomly selected and tested. Find the temperature reading
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