Elementary Statistics: Picturing the World, 6e (Larson/F)



Name____________________Date__________________Area Under the Curve Test /90MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. [2 pts. Each]416242513970Find the area of the indicated region under the standard normal curve.A) 0.4032B) 0.9032C) 0.0968D) 0.08232) Find the area of the indicated region under the standard normal curve.A) 0.9177B) 0.0968C) 0.08238477252698753) Find the area of the indicated region under the standard normal curve.D) 0.9032A) 1.309B 0.6562C) 0.34385816603054354) Find the area of the indicated region under the standard normal curve.D) 0.309A) 0.0668B) 0.9332C) 0.5199D) 0.76125) Determine whether the graph could represent a variable with a normal distribution.No, the graph is not symmetric.No, the graph is skewed left.No, the graph crosses the x-axis.Yes, the graph fulfills the properties of the normal distributionDetermine whether the graph could represent a variable with a normal distribution. No, the graph is not symmetric.Yes, the graph fulfills the properties of the normal distribution.A radio station wants to conduct a survey to predict the winner of a city’s mayoral election. Which method is most likely to provide an unbiased sampling?(A) asking for callers and using the first fifty people who call in (B) interviewing volunteers at a candidate’s headquarters(C) calling the tenth person listed on each page of the city telephone directory(D) surveying the opinions of protestors at a rallyAssume that the random variable X is normally distributed, with mean μ= 60 and standard deviation σ= pute the probability P(X < 75).0.1056B) 0.8849C) 0.8944D) 0.9015Assume that the random variable X is normally distributed, with mean μ= 80 and standard deviationσ= pute the probability P(X > 92).0.1977B) 0.2119C) 0.7881D) 0.2420Assume that the random variable X is normally distributed, with mean μ= 60 and standard deviation σ= pute the probability P(38 < X < 70).0.7888B) 0.8819C) 0.8944D) 0.8914IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual’s IQ score is found to be 110. Find the z-score corresponding to this value.-0.67B) 0.67C) 1.33D) -1.33A doctor wants to test the effectiveness of a new drug on her patients. She separates her sample of patients into two groups and administers the drug to only one of these groups. She then compares the results. Which type of study best describes this situation?(A) census(B) survey(C) observation(D) controlled experimentIQ scores have a population mean ? = 100 and a population standard deviation =15. Convert the following standard z interval, z 2.58, to an x interval.(A) x 138.7(B) x 273(C) x -6.49(D)x 6.84IQ test scores are normally distributed with a mean of 105 and a standard deviation of 11. An individual’s IQ score is found to be 119. Find the z-score corresponding to this value.1.27B) -1.27C) 0.79D) -0.79Given an approximately normal distribution with a mean of 121 and a standard deviation of 40. [3 points each]434513910160 Draw a normal curve and label 1, 2, and 3 standard deviations on both sides of the mean.b) What interval contains 68% of all values?c) What interval contains 95% of all values? d) What interval contains 99.7% of all values? e) What percent of values are above 201? f) What percent of values are below 81?The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting more than 300 days. [4 points]The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days.[4 points]Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. The cheerleaders for a local professional basketball team must be between 65.5 and 68.0 inches. If a woman is randomly selected, what is the probability that her height is between 65.5 and 68.0 inches?[4 points]In a recent year, students taking a mathematics assessment test had a mean of 290 and a standard deviation of 37. Possible test scores could range from 0 to 500. (hint: use 0 as the lower limit and 500 as the upper limit) [4 pts. Each]Find the probability that a student had a score less than 320.Find the probability that a student had a score between 250 and 300. What percent of the students had a test score greater than 200?What is the lowest score that would still place a student in the top 5% of the scores?What is the highest score that would still place a student in the bottom 25% of the scores? Find the z value described and sketch the area described. [4 pts. each] Find z such that 5.2% of the standard normal curve lies to the left of z. Find z such that 8% of the standard normal curve lies to the right of z. Find the z value such that 98% of the standard normal curve lies between –z and z. ................
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