Question

GPA is approximately normally distributed for all students that have been accepted to UCLA. The average...

GPA is approximately normally distributed for all students that have been accepted to UCLA. The average gpa is 4.0 with standard deviation of .2.

a) Between what 2 gpa's are considered normal for being accepted at UCLA.

b) 50 students were sampled and asked, "what is your gpa?" Calculate the standard deviation for the sampling distribution. Calculate the probability the mean is 3.95 or lower.

Homework Answers

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 average grade point average (GPA) of undergraduate students in New York is normally distributed with...
The average grade point average (GPA) of undergraduate students in New York is normally distributed with a population mean of 2.5 and a population standard deviation of 0.4 Mean = 2.5 Standard Deviation = 0.4 (IV) If a sample of 36 students is taken, what is the probability that the sample mean GPA will be between 2.5 and 2.75? N= 36
The average grade point average (GPA) of undergraduate students in New York is normally distributed with...
The average grade point average (GPA) of undergraduate students in New York is normally distributed with a population mean of 2.5 and a population standard deviation of 0.4 (III) Above what GPA will the top 7% of the students be (i.e., compute the 93rd percentile): GPA (IV) If a sample of 36 students is taken, what is the probability that the sample mean GPA will be between 2.5 and 2.75?
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of...
The diameter of a brand of tennis balls is approximately normally​ distributed, with a mean of 2.55 inches and a standard deviation of 0.06 inch. A random sample of 12 tennis balls is selected. Complete parts​ (a) through​ (d) below. a. What is the sampling distribution of the​ mean? A. Because the population diameter of tennis balls is approximately normally​ distributed, the sampling distribution of samples of size 12 will be the uniform distribution. B. Because the population diameter of...
The GPA of graduating engineering students in the fictitious Kingdom of Statistans approximately normally distributed with...
The GPA of graduating engineering students in the fictitious Kingdom of Statistans approximately normally distributed with a mean of 3.1 and a standard deviation of 0.2. The starting salary in Statistan is decided by the central government to be exactly $35K + $2.5K times the square of the GPA. (a) What GPAs and salaries do the top 20% of graduating students have? (b) What are the expected value and standard dev. of the starting salary? (c) What’s the ranking of...
The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and...
The heights of 1000 students are approximately normally distributed with a mean of 174.5 centimeters and a standard deviation of 6.9 centimeters. Suppose 200 random samples of size 25 are drawn from this population and the means recorded to the nearest tenth of a centimeter. Determine (a) the mean and standard deviation of the sampling distribution of X¯; (b) the number of sample means that fall between 171 and 177 cm.
A sample of 81 students has a mean GPA of 3.25.  The sample is normally distributed, and...
A sample of 81 students has a mean GPA of 3.25.  The sample is normally distributed, and the population standard deviation is found to be 0.63 grade points.  Find the Lower Limit of the 95% confidence interval. (express your answers rounded to two decimal places)
Many teachers are concerned about grade inflation. Assume that GPA is normally distributed with mean μ...
Many teachers are concerned about grade inflation. Assume that GPA is normally distributed with mean μ = 2.6 and standard deviation σ = 0.5. Use this data to answer the following: a.) What is the probability that a randomly selected student has a GPA of 3.6 or higher? Write answer as decimal rounded to the thousandth place. b.) What percentage of students has a GPA of 3.0 or lower? Write answer as decimal rounded to the thousandth place. c.) What...
The weight of the large bag of M&M’s is approximately normally distributed with mean of ?...
The weight of the large bag of M&M’s is approximately normally distributed with mean of ? = 1176 grams and a standard deviation of ? = 11.3 grams. Suppose 12 of these bags are randomly selected. (a) What is the mean and the standard deviation of the sampling distribution (SDSM)? Use the correct symbols. (b) What is the probability that 12 randomly sampled large bags will have a sample mean weight less than 1170 grams? Round to 4 decimals. (c)...
A sample of 81 students has a mean GPA of 3.25. The sample is normally distributed,...
A sample of 81 students has a mean GPA of 3.25. The sample is normally distributed, and the sample standard error is found to be 1.0 grade points. Find the probability of a randomly selected student having a GPA of 3.0 or greater. (express your answer with 4 decimal places)
Exam grades across all sections of introductory statistics at a large university are approximately normally distributed...
Exam grades across all sections of introductory statistics at a large university are approximately normally distributed with a mean of 72 and a standard deviation of 11. Use the normal distribution to answer the following questions. (a) What percent of students scored above an 87 ? (b) What percent of students scored below a 60 ? (c) If the lowest 8% of students will be required to attend peer tutoring sessions, what grade is the cutoff for being required to...