Question

If we flip three coins at the same time, the population of the number of resulting...

If we flip three coins at the same time, the population of the number of resulting heads has a mean of 1.5 and a standard deviation of .71. Assume that many samples of size n are taken from a large population of sets of coin flips and that the mean number of heads is computed for each sample.

a) Find the mean and standard deviation (to 4 decimal places) of the resulting distribution of sample means for n = 36.

b) Find the mean and standard deviation (to 4 decimal places) of the resulting distribution of sample means for n = 400.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let , X be the number of heads.

Here ,

If X has a normal distribution with mean and , then the sampling distribution of sample mean has also normal distribution with mean and standard deviation

i.e.If , then , for large n

Where , and

a) Since , n=36

Therefore, the mean and standard deviation of the resulting distribution of sample means is ,

a) Since , n=400

Therefore, the mean and standard deviation of the resulting distribution of sample means is ,

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose you are conducting an experiment where you flip a coin four times and count the...
Suppose you are conducting an experiment where you flip a coin four times and count the number of heads flips. For such an experiment, you can either get 0/4, 1/4, 2/4, 3/4, or 4/4 heads. a. Explain why there are five bars in the sampling distribution for this experiment. b. Draw a sampling distribution for this problem. c. Use the equation √p * (1-p)/n  to determine the mean and standard deviation of the sampling distribution of sample proportions with samples of...
A)Use population {3, 8, 10}. Assume that samples of size n = 2 are randomly selected...
A)Use population {3, 8, 10}. Assume that samples of size n = 2 are randomly selected with replacement. Construct a table representing the sampling distribution of the sample mean. B) Use population {3, 8, 10}. Assume that samples of size n = 2 are randomly selected with replacement. Find the mean of the sampling distribution of the sample mean. C) Three coins are flipped. Assume that for a single flip, a Heads up is equally likely as Tails up. Construct...
You will flip two coins together 10 times. You are interested in the outcome where both...
You will flip two coins together 10 times. You are interested in the outcome where both coins land on heads. Let X be the number of times you observe this outcome. Answer Question 1 through 4. 1. What are the possible values for x? (values the random variable X can take) 2. Is X binomial random variable? If so, state its parameter n and p. If not, explain why. 3. Find the probability that you will see both coins landing...
Conducting a Simulation For example, say we want to simulate the probability of getting “heads” exactly...
Conducting a Simulation For example, say we want to simulate the probability of getting “heads” exactly 4 times in 10 flips of a fair coin. One way to generate a flip of the coin is to create a vector in R with all of the possible outcomes and then randomly select one of those outcomes. The sample function takes a vector of elements (in this case heads or tails) and chooses a random sample of size elements. coin <- c("heads","tails")...
IQ scores are normally distributed with a mean of 105 and a standard deviation of 15....
IQ scores are normally distributed with a mean of 105 and a standard deviation of 15. Assume that many samples of size n are taken from a large population of people and the mean IQ score is computed for each sample a. If the sample size is n equals= 64, find the mean and standard deviation of the distribution of sample means. The mean of the distribution of sample means is: 105 The standard deviation of the distribution of sample...
1. Consider the experiment of tossing three separate fair coins (and seeing which side comes up...
1. Consider the experiment of tossing three separate fair coins (and seeing which side comes up on each coin). Find the probability of getting exactly two heads. a) 0.666                b) 0.375                c) 0.4                     d) 0.25 2. Find the area under the standard normal curve between z = -1.25 and z = 1.25. a) 0.6412              b) 0.8817              c) 0.2112              d) 0.7888 3. The distribution of room and board expenses per year at a four-year college is normally distributed with a mean...
We toss two coins. Let X be the number of heads. (a) [2 pts] Find the...
We toss two coins. Let X be the number of heads. (a) [2 pts] Find the sample space S for X. (b) [2 pts] Find P(X = 0). (c) [4 pts] Find the mean of the number of heads. (d) [4 pts] Find the variance of the number of heads.
Suppose x has a distribution with a mean of 70 and a standard deviation of 4....
Suppose x has a distribution with a mean of 70 and a standard deviation of 4. Random samples of size n = 64 are drawn. (a) Describe the x distribution and compute the mean and standard deviation of the distribution. x has distribution with mean μx = and standard deviation σx = . (b) Find the z value corresponding to x = 71. z = (c) Find P(x < 71). (Round your answer to four decimal places.) P(x < 71)...
PROJECT B 1. Flip a coin 120 times. In order to be organized, please record the...
PROJECT B 1. Flip a coin 120 times. In order to be organized, please record the results of this experiment in 5 rows, with 24 flips per row. For example, the first row may be HTHTTTHTTHTTHHHTTHTHHHHT If you do not desire to flip a coin manually, STATDISK can be used to simulate the process. To use STATDISK, go to “Data” at the top of the STATDISK window, and then choose “Coins Generator”. The “Coin Toss Simulator” window will appear. Then...
Use the formula to find the standard error of the distribution of differences in sample means,...
Use the formula to find the standard error of the distribution of differences in sample means, . Samples of size  120 from Population 1 with mean  87 and standard deviation  14 and samples of size  85 from Population 2 with mean  71 and standard deviation  17 Round your answer for the standard error to two decimal places. standard error =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT