The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test...
The scores of 12th-grade students on the National Assessment of Educational Progress year 2000 mathematics test have a distribution that is approximately Normal with mean μ = 313 and standard deviation σ = 33 .
Choose one 12th-grader at random. What is the probability (±±0.1,
that is round to one decimal place) that his or her score is higher
than 313 ? Higher than 412 (±±0.0001; that is round to 4
decimal places)?
Now choose an SRS of 16 twelfth-graders and calculate their mean
score x⎯⎯⎯x¯. If you did this many times, what would be the mean of
all the x⎯⎯⎯x¯-values?
What would be the standard deviation (±±0.1; that is round to one
decimal place) of all the x⎯⎯⎯x¯-values?
What is the probability that the mean score for your SRS is
higher
than 313 ? (±±0.1; that is round to 1 decimal
place) Higher than 412 ? (±±0.0001; that is round to 4
decimal places)
Homework Answers
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The scores of 12th-grade students on the National Assessment of
Educational Progress year 2000 mathematics test...
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth-grade students. Scores on...
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth-grade students. Scores on the test range from 0 to 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 2015, 136,900 eighth-graders were in the NAEP sample...
A random sample of 75 eighth grade students' scores on a national mathematics assessment test has...
A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 279. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 275. Assume that the population standard deviation is 34. At c = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (). (a) Write the claim mathematically and identify...
A random sample of 90 eighth grade students' scores on a national mathematics assessment test has...
A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 200. Assume that the population standard deviation is 37. At = 0.14 is there enough evidence to support the administrator's daim? Complete parts(a) through (e) (a) Write the calm mathematically and identity Hy and...
A random sample of 78 eighth grade students' scores on a national mathematics assessment test has...
A random sample of 78 eighth grade students' scores on a national mathematics assessment test has a mean score of 276. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 31. At a= 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has a mean score of 272. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 34. At a=0.14, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H, and...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has a mean score of 267. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 31. At α=0.12, is there enough evidence to support the administrator's claim? Complete parts (a) through (a) Write the claim mathematically and identify Ho and H...
Arandom sample of 89 eighth grade students' scores on a national mathematics assessment test has a...
Arandom sample of 89 eighth grade students' scores on a national mathematics assessment test has a mean score of 254. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 33. At = 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e) OA HO <280 HA 200 (claim) OD. Hy 2...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has a mean score of 275. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 33. At alpha=0.05, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H0 and...
The mean SAT score in mathematics, H, is 544. The standard deviation of these scores is...
The mean SAT score in mathematics, H, is 544. The standard deviation of these scores is 26. A special preparation course claims that its graduates will score higher, on average, than the mean score 544. A random sample of 50 students completed the course, and their mean SAT score in mathematics was 551. At the 0.1 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course...
The mean SAT score in mathematics, H, is 550. The standard deviation of these scores is...
The mean SAT score in mathematics, H, is 550. The standard deviation of these scores is 38. A special preparation course claims that its graduates will score higher, on average, than the mean score 550. A random sample of 150 students completed the course, and their mean SAT score in mathematics was 552. At the 0.1 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course...
The National Assessment of Educational Progress (NAEP) includes a mathematics test for eighth-grade students. Scores on the test range from 0 to 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 2015, 136,900 eighth-graders were in the NAEP sample...
A random sample of 75 eighth grade students' scores on a national mathematics assessment test has a mean score of 279. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 275. Assume that the population standard deviation is 34. At c = 0.03, is there enough evidence to support the administrator's claim? Complete parts (a) through (). (a) Write the claim mathematically and identify...
A random sample of 90 eighth grade students' scores on a national mathematics assessment test has a mean score of 288. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 200. Assume that the population standard deviation is 37. At = 0.14 is there enough evidence to support the administrator's daim? Complete parts(a) through (e) (a) Write the calm mathematically and identity Hy and...
A random sample of 78 eighth grade students' scores on a national mathematics assessment test has a mean score of 276. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 31. At a= 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify Ho...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has a mean score of 272. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 270. Assume that the population standard deviation is 34. At a=0.14, is there enough evidence to support the administrator's claim? Complete parts (a) through (e). (a) Write the claim mathematically and identify H, and...
A random sample of 86 eighth grade students' scores on a national mathematics assessment test has a mean score of 267. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 260. Assume that the population standard deviation is 31. At α=0.12, is there enough evidence to support the administrator's claim? Complete parts (a) through (a) Write the claim mathematically and identify Ho and H...
Arandom sample of 89 eighth grade students' scores on a national mathematics assessment test has a mean score of 254. This test result prompts a state school administrator to declare that the mean score for the state's eighth graders on this exam is more than 280. Assume that the population standard deviation is 33. At = 0.09, is there enough evidence to support the administrator's claim? Complete parts (a) through (e) OA HO <280 HA 200 (claim) OD. Hy 2...
The mean SAT score in mathematics, H, is 544. The standard deviation of these scores is 26. A special preparation course claims that its graduates will score higher, on average, than the mean score 544. A random sample of 50 students completed the course, and their mean SAT score in mathematics was 551. At the 0.1 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course...
The mean SAT score in mathematics, H, is 550. The standard deviation of these scores is 38. A special preparation course claims that its graduates will score higher, on average, than the mean score 550. A random sample of 150 students completed the course, and their mean SAT score in mathematics was 552. At the 0.1 level of significance, can we conclude that the preparation course does what it claims? Assume that the standard deviation of the scores of course...
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