Question
Asked Mar 13, 2020
10 views

A population of values has a normal distribution with μ=204.9μ=204.9 and σ=27σ=27. You intend to draw a random sample of size n=195n=195.

What is the mean of the distribution of sample means?
μ¯x=μx¯=

What is the standard deviation of the distribution of sample means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=

check_circle

Expert Answer

Step 1

Solution:

From the given information, a population mean is µ=204.9, a population standard deviation is σ=27 and n=195.

By using central limit theorem as the sample size becomes large, sample mean(X-bar) follows normal ...

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.

Related Statistics Q&A

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

Q: The following estimated regression model was developed relating yearly income (y in $1000s) of 30 in...

A: From the provided information, Age = (x1) And their gender = (x2) (0 if male and 1 if female). As, t...

question_answer

Q: A recent national survey indicated that 73 percent of respondents try to include locally grown foods...

A: The 95% confidence interval for the proportion of all people in the country who try to include local...

question_answer

Q: Biologists studying horseshoe crabs want to estimate the percent of crabs in a certain area that are...

A: According to the provided data, a biologist wants to estimate the percent of crabs in a certain area...

question_answer

Q: A stationary store has decided to accept a large shipment of ball-point pens if an inspection of 19 ...

A: Click to see the answer

question_answer

Q: A normal distribution has a mean u = 54 and a standard deviation of sigma = 6. a) what is the probab...

A: a) The probability of randomly selecting a score less than x = 51 is, Thus, the probability of rand...

question_answer

Q: Score: 0 of 1 pt 11 of 28 (12 complete) Instructor-created question Course Note Packet Chapter 9 Pag...

A: Click to see the answer

question_answer

Q: A psychologist is interested in constructing a 95% confidence interval for the proportion of people ...

A: a: It is given that 71 out of 801 randomly selected people surveyed agreed with the theory. The samp...

question_answer

Q: A sample of n = 25 scores has a mean of M = 68. Find the z-score for this sample: a) if it was obtai...

A: Standard normal distribution: The standard normal distribution is a special case of the normal distr...

question_answer

Q: One year, demand for sperm whale oil was particularly high and Captain Ahab decided to hunt onlythos...

A: "Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...