Question

The scores of individual students on the American College Testing (ACT), a college readiness assessment, have...

The scores of individual students on the American College Testing (ACT), a college readiness assessment, have a Normal distribution with a mean of 18.6 and a standard deviation of 6.0. At Northside High, 36 seniors take the test. Assume the scores at this school have the same distribution as national scores. What is the sampling distribution of the sample mean score for a random sample of 36 students?

Group of answer choices

A) Approximately Normal, but the approximation is poor

B) Approximately Normal, and the approximation is good

C) Exactly Normal

D) Neither Normal nor non-Normal—it depends on the particular 36 students selected

Homework Answers

Answer #1

TOPIC:Distribution of the sample mean.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
The scores of individual students on the American College Testing (ACT) program composite college entrance examination...
The scores of individual students on the American College Testing (ACT) program composite college entrance examination have a normal distribution with mean 18.6 and standard deviation 6.0. Forty-nine randomly selected seniors take the ACT test. What is the probability that their mean score is less than 18? Round your answer to 4 decimal places.
The scores of individual students on the American College Testing (ACT) composite college entrance examination have...
The scores of individual students on the American College Testing (ACT) composite college entrance examination have a normal distribution with mean 19.2 and standard deviation 6.8. (a) What is the probability that a single student randomly chosen from all those taking the test scores 24 or higher? 0.2389 Correct: Your answer is correct. (b) Now take an SRS of 69 students who took the test. What are the mean and standard deviation of the average (sample mean) score for the...
Problem 7: (15 marks) The scores of students on the ACT (American College Testing) college entrance...
Problem 7: The scores of students on the ACT (American College Testing) college entrance examination in a recent year had the normal distribution with mean μ = 18 and standard deviation σ = 6. 100 students are randomly selected from all who took the test. a. What is the probability that the mean score for the 100 students is between 17 and 19 (including 17 and 19)? b. A student is eligible for an honor program if his/her score is...
There are two major tests of readiness for college, the ACT and the SAT. ACT scores...
There are two major tests of readiness for college, the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores for more than 1 million students in a recent high school graduating class was roughly normal with mean μ = 20.8 and standard deviation σ = 4.8. SAT scores are reported on a scale from 400 to 1600. The SAT scores for 1.4 million students in the same graduating class...
The ACT college readiness assessment is a curriculum- and standards-based educational and career planning tool that...
The ACT college readiness assessment is a curriculum- and standards-based educational and career planning tool that assesses students academic readiness for college. Scores are based on a normal distribution with a mean of 23 and a standard deviation of 4. Little Flower University would like to offer an honors scholarship to students who score in the top 10% of this test. What is the minimum score that qualifies for this scholarship? James, Luke and Alexia score 24, 26 and 30...
(S-AQ 3.60) There are two major tests of readiness for college: the ACT and the SAT....
(S-AQ 3.60) There are two major tests of readiness for college: the ACT and the SAT. ACT scores are reported on a scale from 1 to 36. The distribution of ACT scores in recent years has been roughly Normal with mean µ = 20.9 and standard deviation s = 4.8. SAT scores are reported on a scale from 400 to 1600. SAT scores have been roughly Normal with mean µ = 1026 and standard deviation s = 209. The SAT...
A sample of 16 students took the American College Testing (ACT) Program composite college entrance exam...
A sample of 16 students took the American College Testing (ACT) Program composite college entrance exam and were found to have a mean of 18 and a sample SD equal to 6. (A) What is the value of the estimated standard error of the mean (SEM)? (B) Provide an interpretation of the value obtained in part A. (C) Describe how the researcher might reduce the size of the SEM if the study is repeated.
The scores of students on the ACT college entrance examination in a recent year had a...
The scores of students on the ACT college entrance examination in a recent year had a normal distribution with mean 24 and standard deviation 4. What ACT score should a student have in order to be in the top 5% of test takers? (use 3 decimals)
The National Assessment of Educational Progress ( NAEP) includes a mathematics test for eigth-grade students. Scores...
The National Assessment of Educational Progress ( NAEP) includes a mathematics test for eigth-grade students. Scores on the test range from 0 to 500. Suppose that you give the NAEP test to an SRS of 800 8th-graders from a large population in which the scores have mean 299 and standard deviation 128 . The mean x¯¯¯ will vary if you take repeated samples. The sampling distribution of x¯¯¯ is approximately Normal. It has mean 299 . What is its standard...
The National Assessment of Educational Progress (NAEP) includes a mathematical test for eighth?grade students. Scores on...
The National Assessment of Educational Progress (NAEP) includes a mathematical test for eighth?grade students. Scores on the test range from 0 to 500 . Suppose that you give the NAEP test to an SRS of 1000 eighth?graders from a large population in which the scores have mean 299 and standard deviation 116 . The mean x ¯ will vary if you take repeated samples. The sampling distribution of x ¯ is approximately Normal. It has mean 299 . What is...