Math 2311 EMCF Homework 5Sections 4.3 – 4.4Honework will NOT be accepted through email or in person. Homework must be submitted throughCourseWare, https://www.casa.uh.edu, before the deadline. Submit this assignment on CourseWare underâEMCFâ and choose ehw5.1. True or False: On a statistics exam, Joeâs score was at the 20th percentile and Johnâs score was at the40th percentile, thus, we can say that Johnâs score was twice Joeâs.a. Trueb. False2. True or False: On the normal curve, the 50th percentile corresponds to the mean.a. Trueb. False3. If a distribution has a mean of 48 and standard deviation of 3.2, what is the value that corresponds toa z-score of -1.6?a.b.c.d.e.38.2242.8853.1246.40none of these4. Find P (?1.2 < Z < 1.9)a.b.c.d.e.0.97130.85620.80200.7659none of these5. Find c such that P (Z > c) = 0.3859a.b.c.d.e.-0.290.35-0.350.29none of these10.040.00density0.08Use the following to answer questions 6 – 10: The following is the Normal density curve for the MPG of alarge sedan with a mean of 26.5 mpg and standard deviation 3.7.15.419.122.826.530.233.96. What proportion of large sedans have a MPG of less than 25.5 mpg?a.b.c.d.e.27%39.35%-39.35%-27%none of these above7. What is the probability that a sedan has a MPG greater than 30.5 mpg?a.b.c.d.e.0.861.080.140none of these above8. What is the probability that a sedan has between 25.5 and 30.5 mpg?a.b.c.d.e.0.950.25350.39350none of these above237.69. What is the 90th percentile of the MPG of these sedans?a.b.c.d.e.23.852.6531.240none of these above10. Give the first quartile (Q1 )of the MPG of these large sedans.a.b.c.d.e.6.625242927.425none of these above11. The sampling distributon of a statistic isa.b.c.d.e.The probability that we obtain the statistic in repeated random samples.The mechanism that determines whether randomization was effective.The distribution of values taken by a statistic in all possible samples of the same sample size.The extent to which the sample results differ systematically from the truth.none of theseUse the following to answer questions 12 – 13: The high temperature in Chicago for the month of August isapproximately normally distributed with mean µ = 80? F and standard deviation ? = 8? F. Suppose we takea SRS of 16 days in August and want to determine the sample mean, x¯ high temperature.12. What is the standard deviation (standard error) of the sample mean high temperature.a.b.c.d.e.820.5102013. What is the probability that a random sample of 16 days in August have a sample mean high temperatureof at least 82? F?a.b.c.d.e.0.59870.25000.15870.8413Cannot be determined.314. The expected value of the sampling distribution of the sample mean is equal toa.b.c.d.e.the standard deviation of the sampling populationthe mean of the sampling populationthe median of the sampling populationthe population sizenone of these15. Power companies kill trees growing near their lines to avoid power failures due to falling limbs instorms. Applying a chemical to slow the growth of the trees is cheaper than trimming, but the chemicalkills some of the trees. Suppose that one such chemical would kill 15% of sycamore trees. The powercompany tests the chemical on 200 sycamores. Consider these a SRS from the population of all sycamoretrees. What is the probability that no more than 32 trees are killed?a.b.c.d.e.0.05710.65400.34600.1598none of these4
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