Question

In: Statistics and Probability

4. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate...

4. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students’ scores on the quantitative portion of the GRE follow a normal distribution. (Source: http://www.ets.org/.) Suppose a random sample of 10 students took the test, and their scores are given below. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 a) Test the claim that the mean verbal reasoning score is different from 150 at the α = 0.10 level of significance. Do the step process to show work.

b) It has been claimed that the standard deviation of the GRE scores is 8.8. Is there sufficient evidence to conclude that the standard deviation

Solutions

Expert Solution

a)

Let denotes the mean verbal reasoning score.

b)


Related Solutions

(4 pts) The Graduate Record Examination (GRE) is a test required for admission to many U.S....
(4 pts) The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. In addition to other qualifications, a score of at least 160 is required for admission to a particular graduate school. Suppose n = 16 randomly selected students take the GRE on the same day. Describe the sampling distribution of the sample mean...
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools....
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students’ scores on the quantitative portion of the GRE follow a normal distribution. (Source: http://www.ets.org/.) Suppose a random sample of 10 students took the test, and their scores are given below. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 a) Test the claim that the mean verbal reasoning score is different from 150 at the α = 0.10 level of significance.
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools....
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with standard deviation 8.8. Suppose a random sample of 10 students took the test, and their scores are given below. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 a. Are the criteria for approximate normality satisfied? Why? b. Calculate the sample mean, x with bar on top. Round your...
3. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate...
3. The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students’ scores on the quantitative portion of the GRE follow a normal. (Source: http://www.ets.org/.) Suppose a random sample of 10 students took the test. 152, 126, 146, 149, 152, 164, 139, 134, 145, 136 A normal probability plot verifies that the data are normally distributed. a) Determine the sample standard deviation. b) Construct a 95% confidence interval for the population standard deviation. Interpret...
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools....
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. In addition to other qualifications, a score of at least 165 is required for admission to a particular graduate school. A) Describe how you would shade the region under the normal curve that represents test takers who scored above 165 in the quantitative portion...
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools....
The Graduate Record Examination (GRE) is a test required for admission to many U.S. graduate schools. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation of 8.8. In addition to other qualifications, a score of at least 160 is required for admission to a particular graduate school. a. What proportion of combined scores can be expected to be over 160? b. What proportion of combined GRE scores can be expected...
The Graduate Record Examination (GRE) is a test required for admission to many US graduate schools....
The Graduate Record Examination (GRE) is a test required for admission to many US graduate schools. Student’s scores on the quantitative portion of the GRE follow a normal distribution with standard deviation of 8.8. Suppose a random sample of 10 students took the test, and their scores are given below: 152, 126, 146, 149, 152, 164, 139, 134, 145, 136   Find a point estimate of the population mean. The point estimate for the population mean is 144.3. Construct a 95%...
The Graduate Record Examination (GRE) is a standardized test commonly taken by graduate school applicants in...
The Graduate Record Examination (GRE) is a standardized test commonly taken by graduate school applicants in the United States. The total score is comprised of three compo- nents: Quantitative Reasoning, Verbal Reasoning, and Analytical Writing. The first two components are scored from 130 - 170. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67....
The Graduate Record Examination (GRE) is a standardized test commonly taken by graduate school applicants in...
The Graduate Record Examination (GRE) is a standardized test commonly taken by graduate school applicants in the United States. The total score is comprised of three compo- nents: Quantitative Reasoning, Verbal Reasoning, and Analytical Writing. The first two components are scored from 130 - 170. The mean score for Verbal Reasoning section for all test takers was 151 with a standard deviation of 7, and the mean score for the Quantitative Reasoning was 153 with a standard deviation of 7.67....
The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate...
The Graduate Record Examination (GRE) is a standardized test that students usually take before entering graduate school. An article reveals that the scores on the verbal portion of the GRE are (approximately) normally distributed with mean 462 points and standard deviation 119 points. (i) Find the 3rd decile for these scores. (ii) Find the probability that the scores are between 380 and 520 points.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT