Question

In: Statistics and Probability

The average GPA for all college students is 2.95 with a standard deviation of 1.25. Answer...

The average GPA for all college students is 2.95 with a standard deviation of 1.25.

Answer the following questions:

What is the average GPA for 50 MUW college students? (Round to two decimal places)

What is the standard deivaiton of 50 MUW college students? (Round to four decimal places)

Expert Solution

Solution :

Given that ,

mean = = 2.95

standard deviation = = 1.25

n = 50

sample distribution of average is ,

=

= 2.95

sampling distribution of standard deviation

= / n = 1.25 / 50=0.1810

= 0.1810

orchestra answered 2 years ago

The mean GPA of all college students is 2.95 with a standard deviation of 1.25. What...

The mean GPA of all college students is 2.95 with a standard deviation of 1.25. What is the probability that a single MUW student has a GPA greater than 3.0? (Round to four decimal places) What is the probability that 50 MUW students have a mean GPA greater than 3.0? (Round to four decial palces)

The average GPA at a college is 2.73 with a standard deviation of 0.8. Find the...

The average GPA at a college is 2.73 with a standard deviation of 0.8. Find the probability that 10 randomly selected students will have an average GPA greater than 2.37

A sample of university students has an average GPA of 2.78 with a standard deviation of...

A sample of university students has an average GPA of 2.78 with a standard deviation of 0.45. If GPA is normally distributed, what percentage of the students has GPAs….. More than 2.3? Less than 3.0? Between 2.00 and 2.5?

Students have an average GPA of 2.78 with a standard deviation of 0.45. You have been...

Students have an average GPA of 2.78 with a standard deviation of 0.45. You have been tasked by the university president to select a random sample of students, and to conduct in-depth interviews with them about how their academics were impacted by COVID-19. We would like the random students that you select to be representative of the entire student body, and therefore the GPA of your sample should be within 0.2 grade points of the population mean. How many students...

A sample of 36 students Irving College produce a mean gpa of 3.2. The standard deviation of all students is .6. Find the 95% confidence interval.

A sample of 36 students Irving College produce a mean gpa of 3.2. The standard deviation of all students is .6. Find the 95% confidence interval. STEP 1: Find the standard deviation of the sample: .6 divided by square root of 36 = .1 STEP 2: Find the Z-score associated with 95% confidence (Go to table IV in the front of your book and find the Z-score that has .975 to the left of it. (We look for .975,...

The average GPA at the University of North Carolina is 3.2, with a standard deviation of...

The average GPA at the University of North Carolina is 3.2, with a standard deviation of 0.3. Assume that all GPAs at the University of North Carolina are normally distributed. What is the probability of randomly selecting a student at the University of North Carolina with a GPA of 2.9 or lower? Possible answers: A. 0.10 B. 0.16 C. 0.24 D. 0.31 What is the probability of randomly selecting a student at the University of North Carolina with a GPA...

Question 1: A) If the mean GPA among students is 3.25 with a standard deviation of...

Question 1: A) If the mean GPA among students is 3.25 with a standard deviation of 0.75, what is the probability that a random sample of 300 students will have a mean GPA greater than 3.30? B) If the mean GPA among students is 3.25 with a standard deviation of 0.75, and we select a random sample of 300 people, at what value for the sample mean would be greater than exactly 95% of possible sample means? C) If the...

The mean GPA of night students is 2.28 with a standard deviation of 0.39. The mean...

The mean GPA of night students is 2.28 with a standard deviation of 0.39. The mean GPA of day students is 1.91 with a standard deviation of 0.64. You sample 30 night students and 20 day students. a. What is the mean of the distribution of sample mean differences (night GPA - day GPA)? b. What is the standard deviation of the distribution of sample mean differences (night GPA - day GPA)? c. Find the probability that the mean GPA...

Suppose the heights (in inches) of all college students follow a Normal distribution with standard deviation...

Suppose the heights (in inches) of all college students follow a Normal distribution with standard deviation σ=3. A sample of 25 students is taken from the population; the average height of these students is 68.4 inches. Does this sample data provide strong evidence that the average height of all students is less than 70 inches? Which test should be used? What is the null hypothesis? What is the alternative hypothesis? What is the p-value?

a. Is the average GPA of all currently enrolled students at the University of Florida an...

a. Is the average GPA of all currently enrolled students at the University of Florida an example of a parameter or a statistic? b. Is the number of magazines read last year by a collection of people an example of a discrete or continuous variable? c. Are cat breeds an example of a quantitative or a qualitative variable? d. What is the difference between a simple random sample and a stratified random sample?