The average GRE score at the University of Pennsylvania for the incoming class of 2016-2017 was...

The average GRE score at the University of Pennsylvania for the incoming class of 2016-2017 was 311. Assume that the standard deviation was 13.4. If you select a random sample of 40 students, what is the probability that the sample mean will be less than 313? Round your answer to three decimal places.

The average GRE score at the University of Pennsylvania for the incoming class of 2016-2017 was 311. Assume that the standard deviation was 13.4. If you select a random sample of 40 students, what is the standard error of the mean? Round your answer to three decimal places.

Solutions

Expert Solution

solution :

Given that ,

mean = = 311

standard deviation = = 13.4

n = 40

= = 311

= / n = 13.4 / 40 = 2.119

P( <313 ) = P(( - ) / < (313 - 311) / 2.119)

= P(z < 0.94 )

Using z table

= 0.8264

mean = = 311

standard deviation = = 13.4

n = 40

= = 311

= / n = 13.4 / 40 = 2.119

orchestra answered 1 year ago

Next > < Previous

Related Solutions

You decide to study the effect of GRE preparatory course on GRE score. Describe, in detail,...

You decide to study the effect of GRE preparatory course on GRE score. Describe, in detail, how you will design your study, how you will collect data, and how you are going to statistically test whether the GRE course had an effect on GRE score. Be as specific as you can about your hypotheses. How would you, if at all, change your study if you decided to study the effect of the GRE preparatory course on graduate school admission instead?

One college class had a total of 80 students. The average score for the class on...

One college class had a total of 80 students. The average score for the class on the last exam was 84.3 with a standard deviation of 5.4. A random sample of 34 students was selected. a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be less than 86? c. What is the probability that the sample mean will be more than 85? d. What is the probability that the sample mean...

One college class had a total of 80 students. The average score for the class on...

One college class had a total of 80 students. The average score for the class on the last exam was 84.6 with a standard deviation of 5.3. A random sample of 34 students was selected. a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be less than 86? c. What is the probability that the sample mean will be more than 85? d. What is the probability that the sample mean...

One college class had a total of 70 students. The average score for the class on...

One college class had a total of 70 students. The average score for the class on the last exam was 84.2 with a standard deviation of 4.8. A random sample of 31 students was selected. a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be less than 86? c. What is the probability that the sample mean will be more than 85? d. What is the probability that the sample mean...

One college class had a total of 8080 students. The average score for the class on...

One college class had a total of 8080 students. The average score for the class on the last exam was 83.983.9 with a standard deviation of 5.85.8. A random sample of 3232 students was selected. a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be less than 8585? c. What is the probability that the sample mean will be more than 8484? d. What is the probability that the sample mean...

One college class had a total of 80 students. The average score for the class on...

One college class had a total of 80 students. The average score for the class on the last exam was 83.9 with a standard deviation of 5.8. A random sample of 32 students was selected. a. Calculate the standard error of the mean. b. What is the probability that the sample mean will be less than 85? c. What is the probability that the sample mean will be more than 84? d. What is the probability that the sample mean...

There are 25 students in a class. The lowest quiz score is a 5. The average...

There are 25 students in a class. The lowest quiz score is a 5. The average quiz score is 14, median is 15, and SD is 3. If the student who got a 5 has their grade changed to a 10, what happens to the average, the median, and the SD, respectively? Answer in detail.

A university wants to test the claim that the average SAT score for in-state (I) students...

A university wants to test the claim that the average SAT score for in-state (I) students is less than the average SAT score for out-of-state (O) students. It will use random samples of 50 in-state students and 45 out-of-state students. Choose the appropriate math symbol to replace the "?" in both the null and alternative hypotheses shown below. H0: μI ? μO ≥ < ≤ = > ≠ Ha: μI ? μO < = ≤ ≥ > ≠

Estimate: GPA = β0 + β1GRE + ε, where GRE is a student’s score on the...

Estimate: GPA = β0 + β1GRE + ε, where GRE is a student’s score on the math portion of the Graduate Record Examination (GRE) score and GPA is the student’s grade point average in graduate school. [You may find it useful to reference the t table.] GPA GRE 2.8 750 3.4 670 2.5 780 3.4 680 2.8 720 3.7 770 2.4 750 2.6 760 3.8 680 2.7 740 2.7 680 3.1 640 3 710 2.6 710 3.2 700 3.5 750...

Estimate: GPA = β0 + β1GRE + ε, where GRE is a student’s score on the...

Estimate: GPA = β0 + β1GRE + ε, where GRE is a student’s score on the math portion of the Graduate Record Examination (GRE) score and GPA is the student’s grade point average in graduate school. [You may find it useful to reference the t table.] picture GPA GRE 3.3 760 3.8 680 3 670 3.2 710 3.8 780 2.6 680 2.5 760 2.4 670 2.8 640 3.9 700 3.8 680 3.4 680 2.8 760 3.1 650 3.4 670 2.7...

Subjects