The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on the test range from 00 to 500.500. Demonstrating the ability to use the mean to solve a problem is an example of the skills and knowledge associated with performance at the Basic level. An example of the knowledge and skills associated with the Proficient level is being able to read and interpret a stem‑and‑leaf plot. In 2019, 147,400147,400 eighth‑graders were in the NAEP sample for the mathematics test. The mean mathematics score was ?⎯⎯⎯=282.x¯=282. We want to estimate the mean score ?μ in the population of all eighth‑graders. Consider the NAEP sample as an SRS from a Normal population with standard deviation ?=40. According to the 9595 part of the 68-95-99.768-95-99.7 rule, 95%95% of all values of ?⎯⎯⎯x¯ fall within how many points on either side of the unknown mean ??μ? Give your answer to four decimal places.
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth‑grade students. Scores on the test
In 2019, 147,400147,400 eighth‑graders were in the NAEP sample for the mathematics test. The mean mathematics score was ?⎯⎯⎯=282.x¯=282. We want to estimate the mean score ?μ in the population of all eighth‑graders. Consider the NAEP sample as an SRS from a Normal population with standard deviation ?=40.
According to the 9595 part of the
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