Math 2311EMCF Popper 5 (Sections 4.1 - 4.4) Instructions Popper will NOT be accepted through email or in person. Popper must be submitted through CourseWare BEFORE the deadline. Submit this assignment at http://www.casa.uh.edu under "EMCF" Popper 5 1. Consider a uniform distribution that is defined for . What is the probability that X lies between 1 and 2? (Hint: draw a picture) a. 2.5 b. 0.625 c. 0.25 d. 0.75 e. none of these 2. The distribution of raw scores on a chemistry final is approximately normal with mean of about 50 and standard deviation of about 10. What is the probability that a student will have a raw score that is more than 45? a. 0.7238 b. 0.3085 c. 0.4500 d. 0.6915 e. none of these 3. Consider problem 2 above. Give the interval for the middle 95% of scores. a. [45, 55] b. [30, 70] c. [20, 80] d. [40, 60] e. none of these 4. True or False: The standard normal distribution has a mean of 1. a. True b. False 5. True or False: The 70th percentile means 70% of the values in the distribution are above it. a. True b. False 6. True or False: On a statistics exam, Joe's score was at the 20th percentile and John's score was at the 40th percentile; thus, we can say that John's score was twice Joe's. a. True b. False 7. True or False: On the standard normal curve, the 50th percentile corresponds to the mean value of the data set. a. True b. False 8. True or False: If a student's exam score corresponds to a negative zscore, then the student has a score that is less than the mean of the set of exam scores. a. True b. False 9. If a sample has a mean of 48 and a standard deviation of 3.2, what is the value in the set that corresponds to a z-score of -1.6? a. 38.22 b. 42.88c. 53.12d. 46.40e. none of these 10. Find P(-1.2c)=0.3859 a. -0.29b. 0.35c. -0.35d. 0.29e. none of these 12. If a population has a standard deviation , then the standard deviation of the mean of 100 randomly selected items from this population is a. /100 b. c. /10 d. 100 e. 1 f. none of these 13. The sampling distribution of a statistic isa. The probability that we obtain the statistic in repeated random samplesb. The mechanism that determines whether randomization was effectivec. The distribution of values taken by a statistic in all possible samples of the same sample size from the same population d. The extent to which the sample results differ systematically from the truthe. None of these 14. The expected value of the sampling distribution of the sample mean is equal to a. the standard deviation of the sampling populationb. the mean of the sampling populationc. the median of the sampling population d. the population size e. none of these15. Power companies kill trees growing near their lines to avoid power failures due to falling limbs in storms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemical kills some of the trees. Suppose that one such chemical would kill 15% of sycamore trees. The power company tests the chemical on 200 sycamores. Consider these a SRS from the population of all sycamore trees. What is the probability that no more than 32 trees are killed? a. 0.0571b. 0.6540c. 0.3460d. 0.1598e. none of these