Help please! The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth-grade students. Scoreson the test range from 0 to 500. Demonstrating the ability to use the mean to solve a problem is an example of the skillsand knowledge associated with performance at the Basic level. An example of the knowledge and skills associated withthe Proficient level is being able to read and interpret a stem-and-leaf plot.In 2015, 136,900 eighth-graders were in the NAEP sample for the mathematics test. The mean mathematics score wasX =282. We want to estimate the mean score u in the population of all eighth-graders. Consider the NAEP sample as anSRS from a Normal population with standard deviation o = 110.(a) If we take many samples, the sample mean i varies from sample to sample according to a Normal distribution withmean equal to the unknown mean score u in the population. What is the standard deviation of this sampling distribution?(Enteryour answer rounded to four decimal places.)standard deviation = (b) According to the 95 part of the 68-95-99.7 rule, 95% of all values of x fall within how many points on either side ofthe unknown mean u? (Enter your answer rounded to four decimal places.)points(c) What is the 95% confidence interval for the population mean score u based on this one sample? (Enter your answerrounded to one decimal place.)Lower value =Higher value =

Name: Help please! The National Assessment of Educational Progress (NAEP) in
Uploaded: 2024-03-20T07:07:37.000Z
Channel: Bartleby
Description: Help please! The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth-grade students. Scoreson the test range from 0 to 500. Demonstrating the ability to use the mean to solve a problem is an example of the skills