The University of California has two criteria used to set admission standards for freshman to be admitted to a college US the CC system: a. Students GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an “admissions Index” score. The admissions Index score Is used to set eligibility standards intended to meet the goal of admitting the top 12°. of high school students in the state. In this context, what percentile does the top 12°. represent? b. Students whose OPAS ate at or above the 96th percentile of all students at their high school are eligible (called eligible in the local context), even if they axe not In the top l2, of all students In the state. What percentage of students from each high school axe “eligible in the local context”?
The University of California has two criteria used to set admission standards for freshman to be admitted to a college US the CC system: a. Students GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an “admissions Index” score. The admissions Index score Is used to set eligibility standards intended to meet the goal of admitting the top 12°. of high school students in the state. In this context, what percentile does the top 12°. represent? b. Students whose OPAS ate at or above the 96th percentile of all students at their high school are eligible (called eligible in the local context), even if they axe not In the top l2, of all students In the state. What percentage of students from each high school axe “eligible in the local context”?
The University of California has two criteria used to set admission standards for freshman to be admitted to a college US the CC system:
a. Students GPAs and scores on standardized tests (SATs and ACTs) are entered into a formula that calculates an “admissions Index” score. The admissions Index score Is used to set eligibility standards intended to meet the goal of admitting the top 12°. of high school students in the state. In this context, what percentile does the top 12°. represent?
b. Students whose OPAS ate at or above the 96th percentile of all students at their high school are eligible (called eligible in the local context), even if they axe not In the top l2, of all students In the state. What percentage of students from each high school axe “eligible in the local context”?
Do the data in the accompanying table support Kepler’s third law? Give reasons for your answer.
The Etruscans. Anthropologists are still trying to unravel the mystery of the origins of the Etruscan empire, a highly advanced Italic civilization formed around the eighth century B.C. in central Italy. Were they native to the Italian peninsula or, as many aspects of their civilization suggest, did they migrate from the East by land or sea? The maximum head breadth, in millimeters, of 70 modern Italian male skulls and 84 preserved Etruscan male skulls was analyzed to help researchers decide whether the Etruscans were native to Italy. The resulting data can be found on the WeissStats site. [SOURCE: N. Barnicot and D. Brothwell, “The Evaluation of Metrical Data in the Comparison of Ancient and Modern Bones.” In Medical Biology and Etruscan Origins, G. Wolstenholme and C. O’Connor, eds., Little, Brown&Co., 1959]
a. Obtain normal probability plots, boxplots, and the standard deviations for the two samples.
b. Based on your results from part (a), which would you be inclined to use to…
Item 9
At a research facility that designs rocket engines, researchers know that some engines fail to ignite as a result of fuel system error. From a random sample of 40 engines of one design, 14 failed to ignite as a result of fuel system error. From a random sample of 30 engines of a second design, 9 failed to ignite as a result of fuel system error. The researchers want to estimate the difference in the proportion of engine failures for the two designs. Which of the following is the most appropriate method to create the estimate?
A one-sample z-interval for a sample proportion
A
A one-sample z-interval for a population proportion
B
A two-sample z-interval for a population proportion
C
A two-sample z-interval for a difference in sample proportions
D
A two-sample z-interval for a difference in population proportions
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