It is believed that the SAT scores for students entering two state universities may have different...
Scores this year for students taking the SAT Math test for the first time are believed to be Normally distributed with mean Mi. For students taking the test for the second time, this year's scores are also believed to be Normally distributed, but with a possibly different mean M2. We wish to estimate the difference M2 - Mi. A random sample of the SAT Math scores of 100 students who took the test for the first time this year was...
18. Scores this year on the SAT mathematics test (SAT-M) for students taking the test for the first time are believed to be Normally distributed with mean 4. For students taking the test for the second time, this year's scores are also believed to be Normally distributed but with a possibly different mean 42. We wish to estimate the difference - A random sample of the SAT-M scores of 100 students who took the test for the first time this...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (79) If...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (7%) If...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (79) If...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (7%) If...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (7%) If...
5- A national test is held to admit students to the public universities. The scores on this test are normally distributed with a mean of 350 and a standard deviation of 60. Mary knows if she wants to be admitted to a certain university, her score should be better than at least 85% of the students who took the test. a) (6%) Mary takes the test and scores 435. Will she be admitted to that certain university? b) (7%) If...
The combined SAT scores for students taking the SAT-I test are normally distributed with a mean of 982 and a standard deviation of 192. Explain specifically why we could use the Central Limit Theorem to find the probability that a randomly selected sample of 9 students who took the SAT-I has a mean score between 800-1150 even though the same size is less than 30
QUESTION 3 Math SAT Question 3 The scores of men on the math SAT follow a Normal distribution so do those of women. It is reasonable to assume that the standard deviations of the two sets of scores are equal. Let us (respectively, u2) denote the average math SAT score of men (respectively, women). A random sample of 20 men was selected. The average math SAT score of the men selected was 607.8 with a standard deviation of 48.76. Another...