Question
Asked Jan 23, 2020
4 views

A variable of a population has a mean of µ = 35 and a standard deviation of σ = 42.

a. If the variable is normally distributed, identify the sampling distribution of the sample mean for samples of size 9.
b. Can you answer part (a) if the distribution of the variable under consideration is unknown? Explain your answer.
c. Can you answer part (a) if the distribution of the variable under consideration is unknown but the sample size is 36 instead of 9? Why or why not?

check_circle

Expert Answer

Step 1

a.

Sampling distribution of a sample mean:

Statistics homework question answer, step 1, image 1
fullscreen
Step 2

The mean value is,

Statistics homework question answer, step 2, image 1
fullscreen
Step 3
Statistics homework question answer, step 3, image 1
fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Advanced Topics in Statistics

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: A quantitative data set of size 87 has mean 80 and standard deviation 10. At least how many observat...

A: To obtain standard deviation distance from mean to 100,

question_answer

Q: Probability of At Least One Let A = the event of getting at least 1 defective iPhone when 3 iPhones ...

A: Let A be the event of getting at least 1 defective iPhone when 3 iPhones are randomly selected with ...

question_answer

Q: Testing Claims About Proportions. In Exercises 9–32, test the given claim. Identify the null hypothe...

A: Null and alternative hypotheses:The null and alternative hypotheses are as follows:H0: p = 0.10H1: p...

question_answer

Q: You have seen that the larger the sample size, the smaller the sampling error tends to be in estimat...

A: Sampling error:When a sample is used to estimate a population characteristic the error resulting is ...

question_answer

Q: Two random variables, X and Y , have standard deviations 2.4 and 3.6, respectively. Which one is mor...

A: Standard deviation:The standard deviation indicates by how much each observation differs from a cent...

question_answer

Q: Data was collected for 300 fish from the North Atlantic. The length of the fish (in mm) is summarize...

A: Given data

question_answer

Q: Ages Number of students 15-18 4 19-22 5 23-26 6 27-30 7 31-34 4 35-38 10 Based on the...

A: Cumulative Frequency:

question_answer

Q: *Color Blindness. According to M. Neitz and J. Neitz of the Medical College of Wisconsin Eye Institu...

A: a.it is given that the 9% of men are color blind, that is p = 0.09, remaining 91% are not color blin...

question_answer

Q: 120 psychology students took a standardized test. The scores are summarized in the GFDT below.   ...

A: Frequency:The frequency of a particular data value is the number of times the data value occurs.Cumu...