Question

In: Statistics and Probability

A science teacher claims that the mean scores on a science assessment test for fourth grade...

  1. A science teacher claims that the mean scores on a science assessment test for fourth grade boys and girls are equal. The mean score for 63 randomly selected boys is 151 with a standard deviation of 36, and the mean score for 65 randomly selected girls is 149 with a standard deviation of 34. At α = 0.10, can you reject the teacher’s claim? Assume the populations are normally distributed and the population variances are equal.
    Resource: Two Samples, Means, sigma known
  2. In a random sample of 1216 U.S. adults, 966 favor using mandatory testing to assess how well schools are educating students. In another random sample of 1202 U.S. adults taken 9 years ago, 893 favored using mandatory testing to assess how well schools are educating students. At α = 0.05, can you support the claim that the proportion of U.S. adults who favor mandatory testing to assess how well schools are educating students is more than it was 9 years ago?

    Resource: Two Samples, Proportions

Solutions

Expert Solution

Q1)


Related Solutions

A teacher looks at the scores on a standardized test, where the mean of the test...
A teacher looks at the scores on a standardized test, where the mean of the test was a 73 and the standard deviation was 9. Find the following z-score table Link What is the probability that a student will score between 73 and 90 What is the probability that a student will score between 65 and 85 What is the probability that a student will get a score greater than 70 What is the probability that a student will score...
The scores of fourth grade students on a mathematics achievement test follow a normal distribution with...
The scores of fourth grade students on a mathematics achievement test follow a normal distribution with a mean of 75 and standard deviation of 4. What is the probability that a single student randomly chosen form all those taking the test scores 80 or higher? What is the probability that the sample mean score of 64 randomly selected student is 80 or higher?
You are a fifth-grade teacher and have just given your students a spelling test. Their scores...
You are a fifth-grade teacher and have just given your students a spelling test. Their scores on the test are as follows: 100, 98,25,30, 100, 100, 20, 100, 100, 99, 97, 96, 20. Calculate the mean for these scores. Do you think it reflects the scores adequately? Explain your answer. Calculate means, medians, and modes for the following 2 sets of scores: Set 1: 100, 20, 100, 98, 100, 99, 100, 100 Set 2: 100, 100, 20 Based on your...
A random sample of 83 eighth grade​ students' scores on a national mathematics assessment test has...
A random sample of 83 eighth grade​ students' scores on a national mathematics assessment test has a mean score of 278. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth-graders on this test is more than 275. Assume that the population standard deviation is 35. At α=0.08 is there enough evidence to support the​ administration's claim? Complete parts​ (a) through​ (e). A is done B: fine the standardized test statistic z,...
A random sample of 80 eighth grade​ students' scores on a national mathematics assessment test paper...
A random sample of 80 eighth grade​ students' scores on a national mathematics assessment test paper has a mean score of 269. This test result prompts a state school administrator to declare that the mean score for the​ state's eighth graders on this paper is more than 260 Assume that the population standard deviation is 31. At alphaαequals=0.06 is there enough evidence to support the​ administrator's claim? Complete parts​ (a) through​ (e). ​(a) Write the claim mathematically and identify Upper...
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...
A random sample of 77 eighth-grade​ students' scores on a national mathematics assessment test has a...
A random sample of 77 eighth-grade​ students' scores on a national mathematics assessment test has a mean score of 264 with a standard deviation of 40. 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. At a=0.09​, is there enough evidence to support the​ administration's claim? Complete parts​ (a) through​ (e).
The following table shows the average mathematics and science achievement test scores of eighth-grade students from...
The following table shows the average mathematics and science achievement test scores of eighth-grade students from 12 countries around the world.. Math x Science, y 525 540 558 535 511 518 531 533 392 420 585 569 476 450 496 538 520 535 582 530 532 552 502 515 (a) Draw a scatter plot using one the following website(s): http://www.alcula.com/calculators/statistics/scatter-plot/ or https://www.meta-chart.com/scatter (b) Estimate the correlation in words (positive, negative, or no correlation) (c) Calculate the correlation coefficient, r. (d)...
MSI has been approached by a fourth-grade teacher from Portland about the possibility of creating a...
MSI has been approached by a fourth-grade teacher from Portland about the possibility of creating a specially designed game that would be customized for her classroom and environment. The teacher would like an educational game to correspond to her classroom coverage of the history of the Pacific Northwest, and the state of Oregon in particular. MSI has not sold its products directly to teachers or school systems in the past, but its Marketing Department identified that possibility during a recent...
MSI has been approached by a fourth-grade teacher from Portland about the possibility of creating a...
MSI has been approached by a fourth-grade teacher from Portland about the possibility of creating a specially designed game that would be customized for her classroom and environment. The teacher would like an educational game to correspond to her classroom coverage of the history of the Pacific Northwest, and the state of Oregon in particular. MSI has not sold its products directly to teachers or school systems in the past, but its Marketing Department identified that possibility during a recent...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT