Question

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.

Homework Answers

Answer #1

(A)

Standard Error of the mean (SEM) is given by:

SEM = s/

= 6/ = 1.5

So,

Answer is:

1.5

(B)

Interpretation of SEM = 1.5:

Standard error of the mean (SEM) = 1.5 provides a rough estimate of the interval in which the population mean () is likely to fall. SEM permits the researcher to construct a Confidence Interval in which the population mean is likely to fall.

(C) The researcher might reduce the size of the SEM if the study is repeated by increasing the Sample Size (n).

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...
A study considers whether the mean score of a college entrance exam for students in 2019...
A study considers whether the mean score of a college entrance exam for students in 2019 (Group 1) was higher than the mean score in 2018 (Group 2). A random sample of 25 students who took the exam in 2019 and a random sample of 25 students who took the exam in 2018 were selected. Assume α=0.1. If the p-value is 0.34, which is the following is an accurate interpretation? (a) At α=10%, there is sufficient evidence to indicate that...
A graduate student believed that, on the average, college students spend more time on the Internet...
A graduate student believed that, on the average, college students spend more time on the Internet compared to the rest of the population. She conducted a study to determine if her hypothesis was correct. The student randomly surveyed 25 students and found that the average amount of time spent on the Internet was 11.75 hours per week with a SD = 1.5 hours. The last census found that, on the average, people spent 11 hour per week on the Internet....
A study considers how the college entrace exam scores for students in 2018 compared to that...
A study considers how the college entrace exam scores for students in 2018 compared to that of the students in 1988. The national mean score in 1988 in 500 (out of 1000 possible points). Based on a simple random sample of 10,000 students, the 2018 sample mean socre is 497 (out of 1000 possible points), and the standard deviation s=100. 1.1 State the null and the alternative hypotheses, and explain your reasoning for choosing an one-sided or a two-sided test....
The college board claims that 32% of community college students take five semesters to complete a...
The college board claims that 32% of community college students take five semesters to complete a two-year program. In a survey of 1400 randomly selected community college students enrolled in a two-year program, 401 of them took five semesters to complete their two-year program. Test the college board's claim at a level of significance of 0.01. Calculate the test statistics associated with this hypothesis. (Round your answer to 2 decimal places) Calculate the P-Value associated with the test statistics that...
To estimate the mean score ? of those who took the Medical College Admission Test on...
To estimate the mean score ? of those who took the Medical College Admission Test on your campus, you will obtain the scores of a random sample of students. From published information, you know that the scores are approximately Normal with standard deviation about 6.5. You want your sample mean (x ?) to estimate ? with an error of no more than 1 point in either direction. 1)What standard deviation must x ? have so that 99.7% of all samples...
To estimate the mean score μμ of those who took the Medical College Admission Test on...
To estimate the mean score μμ of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard deviation about 6.6. You want your sample mean x⎯⎯⎯x¯ to estimate μμ with an error of no more than 1 point in either direction. (a) What standard deviation (±±0.0001) must x⎯⎯⎯x¯ have so that 99.7% of all samples give...
To estimate the mean score ? of those who took the Medical College Admission Test on...
To estimate the mean score ? of those who took the Medical College Admission Test on your campus, you will obtain the scores of an SRS of students. From published information you know that the scores are approximately Normal with standard deviation about 6.2 . You want your sample mean ?¯ to estimate ? with an error of no more than 0.8 point in either direction. (a) What standard deviation must ?¯ have so that 99.7% of all samples give...