Question

5-1. Consider a random sample of size 36 from a normal distribution (population) with a mean...

5-1. Consider a random sample of size 36 from a normal distribution (population) with a mean of 10 and a standard deviation of 6. Which of the following statement is false?

(a) The mean of X¯ is 10. (b) The standard deviation of X¯ is 1. (c) X¯ approximately follows a normal distribution. (d) There is an incorrect statement in the alternatives above.

5-2. Let X1, . . . , X36 be a random sample from Bin(36, 0.5). Which of the following statements is false?

(a) The mean of X¯ is 18. (b) The standard deviation of X¯ is 1/3. (c) The mean of P36 i=1 Xi is 648. (d) The standard deviation of P36 i=1 Xi is 18. (e) X¯ approximately follows a normal distribution.

Homework Answers

Answer #1

Solution :

1) mean = = 10

standard deviation = = 6

n = 36

=   = 10

= / n = 6 / 36 = 1

a)  False statement is -(d) There is an incorrect statement in the alternatives above.

2)

b)   approximately follows a normal distribution.

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
a simple random sample of size 36 is taken from a normal population with mean 20...
a simple random sample of size 36 is taken from a normal population with mean 20 and standard deivation of 15. What is the probability the sample,neab,xbar based on these 36 observations will be within 4 units of the population mean. round to the hundreths placee
a simple random sample of size 36 is taken from a normal population with mean 20...
a simple random sample of size 36 is taken from a normal population with mean 20 and standard deivation of 15. What is the probability the sample,neab,xbar based on these 36 observations will be within 4 units of the population mean. round to the hundreths place
1. A sample size of 49 drawn from a population with a mean of 36 and...
1. A sample size of 49 drawn from a population with a mean of 36 and a standard deviation of 15 for the size of an English class. What is the probability the class will have greater than 40 a. .9693 b. .4693 c. .0808 d. .0307 2. A sample size of 49 drawn from a population with a mean of 36 and a standard deviation of 15 for the size of an English class. What is the probability the...
what is the approximate distribution of the mean of a random sample size 36 frim a...
what is the approximate distribution of the mean of a random sample size 36 frim a population whose mean and standard deviation are 20 and 12 respectively? why?
A random sample of size 13 was taken from a population with a population mean 27...
A random sample of size 13 was taken from a population with a population mean 27 and a population standard deviation 5. Determine each of the following about the sampling distribution of the sample mean. Awnser A, B, C Round your answer to at least 3 decimal places where appropriate. a) μx_= b) σx_= c)  Can we conclude that the sampling distribution of the sample mean is approximately normal? Yes or No
Which of the following is NOT true regarding the sampling distribution of the mean (Sample mean...
Which of the following is NOT true regarding the sampling distribution of the mean (Sample mean X-bar) for a large sample size (sample size is greater than 36)? A. It has the same mean as the population. B. It has a smaller standard deviation than the population standard deviation. C. Approximately it follows a normal distribution. D. It has the same distribution as the population.
A random sample of size n1 = 25, taken from a normal population with a standard...
A random sample of size n1 = 25, taken from a normal population with a standard deviation σ1 = 5.2, has a sample mean = 85. A second random sample of size n2 = 36, taken from a different normal population with a standard deviation σ2 = 3.4, has a sample mean = 83. Test the claim that both means are equal at a 5% significance level. Find P-value.
5. You have a random sample of 1,627 for the random variable Xi. The sample mean...
5. You have a random sample of 1,627 for the random variable Xi. The sample mean is 26.2 and the sample standard deviation is 39.1. Define µ as the population mean for Xi. Assume that µ = 20. (LO4) a. Sketch the distribution of X ̅. b. Graphically illustrate the p-value associated with X̅= 26.2.
Suppose X1,...,X20 are a random sample of size 20 from N(100,100) population. What are the distributions...
Suppose X1,...,X20 are a random sample of size 20 from N(100,100) population. What are the distributions of the following quantities? (a) sample mean: X(bar) = (1/20) (X1 + . . . + X20); (b) a scaled sample variance: (19/100)S^2, where S^2 = (1/19) *SIGMA from i=1 to 20* (Xi - X(bar))^2; (c) standardized mean: (X(bar) - 100) / (10/sqrt(20)); (d) studentized mean: (X(bar) - 100) / (S/sqrt(20))
15. Random samples of size 81 are taken from an infinite population whose mean and standard...
15. Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are (assuming infinite population) a. 200 and 18 b. 81 and 18 c. 9 and 2 d. 200 and 2 16. A population has a mean of 300 and a standard deviation of 18. A sample of 144 observations will be taken....
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT