Question

In: Statistics and Probability

A random variable is normally distributed. It has a mean of 225 and a standard deviation...

A random variable is normally distributed. It has a mean of 225 and a standard deviation of 26.

If you take a sample of size 11, can you say what the shape of the sampling distribution for the sample mean is? Why?

  • If the sample size is 11, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is less than 30.
  • If the sample size is 11, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed.
  • If the sample size is 11, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is less than 30.

For a sample of size 11, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.
μx̄ =
σx̄ =

For a sample of size 11, find the probability that the sample mean is more than 223.
P(x̄ > 223) =

If you take a sample of size 36, can you say what the shape of the distribution of the sample mean is? Why?

  • If the sample size is 36, then you can say the sampling distribution of the sample mean is not normally distributed since the sample size is greater than 30.
  • If the sample size is 36, then you can say the sampling distribution of the sample mean is normally distributed since the variable is normally distributed.
  • If the sample size is 36, then you can't say anything about the sampling distribution of the sample mean, since the population of the random variable is not normally distributed and the sample size is greater than 30.

For a sample of size 36, state the mean of the sample mean and the standard deviation of the sample mean. Round to two decimal places if necessary.
μx̄ =
σx̄ =

For a sample of size 36, find the probability that the sample mean is more than 223.P(x̄ > 223) =

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

A random variable is normally distributed. It has a mean of 245 and a standard deviation...
A random variable is normally distributed. It has a mean of 245 and a standard deviation of 21. a.) If you take a sample of size 10, can you say what the shape of the distribution for the sample mean is? Why? b.) For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean. c.) For a sample of size 10, find the probability that the sample mean is more...
A random variable is normally distributed. It has a mean of 245 and a standard deviation...
A random variable is normally distributed. It has a mean of 245 and a standard deviation of 21. I just need G. a.)If you take a sample of size 10, can you say what the shape of the distribution for the sample mean is? Why? b.) For a sample of size 10, state the mean of the sample mean and the standard deviation of the sample mean. c.) For a sample of size 10, find the probability that the sample...
A random variable is normally distributed. It has a mean of 245 and a standard deviation...
A random variable is normally distributed. It has a mean of 245 and a standard deviation of 21. e.) For a sample of size 35, state the mean of the sample mean and the standard deviation of the sample mean. f.) For a sample of size 35, find the probability that the sample mean is more than 241. g.) Compare your answers in part c and f. Why is one smaller than the other?
A random variable is normally distributed with a mean of 24 and a standard deviation of...
A random variable is normally distributed with a mean of 24 and a standard deviation of 6. If an observation is randomly selected from the​ distribution, a. What value will be exceeded 5​% of the​ time? b. What value will be exceeded 90% of the​ time? c. Determine two values of which the smaller has 20% of the values below it and the larger has 20​% of the values above it. d. What value will 10​% of the observations be​...
The random variable x is normally distributed with a mean of 68 and a standard deviation...
The random variable x is normally distributed with a mean of 68 and a standard deviation of 4. Find the interquartile range (IQR)? Use R.
consider a normally distributed random variable with a population mean of 190 and a standard deviation...
consider a normally distributed random variable with a population mean of 190 and a standard deviation of 24. A sample mean of 36 observations will be taken the probability that the sample mean will be between 196 and 198 is?
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation...
Assume the random variable X is normally distributed with mean μ = 50 and standard deviation σ = 7. Compute the probability. P(35<X<63)
2.   A variable is normally distributed with a mean of 120 and a standard deviation of...
2.   A variable is normally distributed with a mean of 120 and a standard deviation of 15. Twenty five scores are randomly sampled. a)   What is the probability that the mean of the four scores is above 111? b)   What is the probability that the mean of the four scores will be between 114 and 123? 4.Suppose that a sample of 36 employees at a large company were surveyed and asked how many hours a week they thought the company...
The variable x is normally distributed with a mean of 500 and a standard deviation of...
The variable x is normally distributed with a mean of 500 and a standard deviation of 50. Find a) The 60th percentile. b)The 35th percentile. c)The x value which exceeds 80% of all x values. d)The x value that is exceeded by 80% of all x values.
Assume that the random variable X normally distributed, with mean 90 and standard deviation 15. Compute...
Assume that the random variable X normally distributed, with mean 90 and standard deviation 15. Compute the probability P(X>102).
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT