SAT reading and writing section scores of a random sample of twenty 11th-grade students in a...

SAT reading and writing section scores of a random sample of twenty 11th-grade students in a certain high school are given below.
380 520 480 510 560 630 670 490 500 550
400 350 440 490 620 660 700 730 740 560
Test if the standard deviation of the reading and writing section SAT score of the students in this school is higher than 100. What is the value of the test statistic (round off to the nearest integer)?

Solutions

Expert Solution

s = 114.6115

The test statistic $\chi^2$ = (n - 1)s²/ $\sigma^2$

= (19 * (114.6115)^2)/(100)^2

= 25

orchestra answered 1 year ago

Next > < Previous

Related Solutions

14. For a sample of students, their total SAT scores and college grade point averages (GPA)...

14. For a sample of students, their total SAT scores and college grade point averages (GPA) are given below. SAT GPA 1070 3.50 1040 2.66 1120 3.54 1260 3.83 1100 2.60 1020 2.70 960 2.00 a. Make a scatterplot on your calculator. Does there appear to be a linear relationship between SAT scores and GPA? b. Find the least squares regression line. Round all constants to 4 decimal places. c. Use your equation to predict the college GPA of a...

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...

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).

Scores for college bound students on the SAT Critical Reading test in recent years follow approximately...

Scores for college bound students on the SAT Critical Reading test in recent years follow approximately the Normal (500, 1202) distribution. 10. How high must a student score to place in the top 10% of all students taking the SAT? 11. Suppose we randomly select 4 students. What is the probability their average score is between 400 and 600?

In a large university, 20% of the students are male. If a random sample of twenty...

In a large university, 20% of the students are male. If a random sample of twenty two students is selected a. What is the probability that the sample contains exactly twelve male students? b. What is the probability that the sample will contain no male students? c. What is the probability that the sample will contain exactly twenty female students? d. What is the probability that the sample will contain more than nine male students? e. What is the probability...

The table below includes reading test scores for 30 students in a 6th grade class. Follow...

The table below includes reading test scores for 30 students in a 6th grade class. Follow the steps outlined in the Corder & Foreman’s textbook (pp. 24-27) to examine the sample’s skewness and kurtosis for normality for an alpha (α) level of .05. Your response should be organized according to those steps. Report your findings. (10 points) (5 points each for skewness and kurtosis. For each 5 points= 2 points for SPSS Printout, 2 points for Z, and 1 point...

If a school district takes a random sample of 74 Math SAT scores and finds that...

If a school district takes a random sample of 74 Math SAT scores and finds that the average is 490, and knowing that the population standard deviation of Math SAT scores is intended to be 100. Find a 99% confidence interval for the mean math SAT score for this district. ≤μ≤

If a school district takes a random sample of 51 Math SAT scores and finds that...

If a school district takes a random sample of 51 Math SAT scores and finds that the average is 464, and knowing that the population standard deviation of Math SAT scores is intended to be 100. Find a 99% confidence interval for the mean math SAT score for this district. ≤ μ ≤

If a school district takes a random sample of 78 Math SAT scores and finds that...

If a school district takes a random sample of 78 Math SAT scores and finds that the average is 461, and knowing that the population standard deviation of Math SAT scores is intended to be 100. Find a 99% confidence interval for the mean math SAT score for this district. ≤μ≤

Subjects