The average salary for a certain profession is$ 69,000. Assume that the standard deviation of such salaries is $ 39,500. Consider a random sample of 68 people in this profession and let x over bar x represent the mean salary for the sample.
|
a. |
What is mu Subscript x over bar μx ? |
mu Subscript x over bar μx =________
|
b. |
What is sigma Subscript x over bar σx ? |
sigma Subscript x over bar σx =__________ (Round to two decimal places as needed.)
|
c. |
Describe the shape of the sampling distribution of x over bar x. |
A. The shape is that of a uniform distribution.
B. The shape is that of a binomial distribution.
C. The shape is that of a poisson distribution.
D. The shape is that of a normal distribution.
|
d. |
Find the z-score for the value x over bar x= 59,500. |
z=________ (Round to two decimal places as needed.)
|
e. |
Find Px>59,500. |
Px>59,500=_______(Round to three decimal places as needed.)
Solution:- Given that μ = 69000, σ = 39500, n = 68
a. μx = 69000
b. σx = 39500/sqrt(68) = 4790.08
c. option D. The shape is that of a normal distribution
d. Z = (X-μ)/(σ/sqrt(n))
Z = (59500-69000)/(39500/sqrt(68))
Z = -1.98
e. P(X > 59500) = P(Z > -1.98) = 0.9761 = 0.976 (rounded)
The average salary for a certain profession is$ 69,000. Assume that the standard deviation of such...
The average salary for a certain profession is $75,500. Assume that the standard deviation of such salaries is $30,500. Consider a random sample of 71 people in this profession and let x over bar x represent the mean salary for the sample. a. What is mu Subscript x over barμ x ? mu Subscript x overbarμxequals=? b. What is sigma Subscript x over bar σ x? sigma Subscript x over bar σ x=________(Round to two decimal places as needed.) c....
The average salary for a certain profession is $78,000.Assume that the standard deviation of such salaries is 32,000.Consider a random sample of 68 people in this profession and let x overbarx represent the mean salary for the sample. What is sigma Subscript x overbar σx? sigma Subscript x overbar σx=_______(Round to two decimal places as needed.)
The average salary for a certain profession is 78,000. Assume that the standard deviation of such salaries is 32,000. Consider a random sample of68 people in this profession and let x overbarx represent the mean salary for the sample. LOADING... a. What is mu Subscript x overbar μx? mu Subscript x overbarμx=
The average salary for a certain profession is $78,000. Assume that the standard deviation of such salaries is 32,000.Consider a random sample of 68 people in this profession and let x over bar x represent the mean salary for the sample. e. Find Px>69,500. (Round to three decimal places as needed.)
The average salary for a certain profession is $78,000. Assume that the standard deviation of such salaries is 32,000.Consider a random sample of 68 people in this profession and let x over bar x represent the mean salary for the sample. d. Find the z-score for the value x overbar x=69,500. z=_________(Round to two decimal places as needed.)
Suppose a random sample of n=64 measurements is selected from a population with mean μ and standard deviation σ. For each of the following values of μ and σ, give the values of mu Subscript x overbarμx and sigma Subscript x overbar Baseline .and σx. a. μ =11, σ=22 b. μ=121 σ=64 c. μ=22 σ=32 d. μ=11 σ=160 a. mu Subscript x over bar μ=_________ sigma Subscript x over bar σx=n_______(Type an integer or a decimal.) b. mu Subscript x...
Suppose a random sample of n= 16 measurements is selected from a population with mean μ and standard deviation σ. For each of the following values of μ and σ, give the values of mu Subscript x over bar μ x and sigma Subscript x overbar Baseline .and σx. a. μ=5, σ=3 b. μ=25 σ=16 c. μ =10, σ=32 d. μ=55, σ=84 a. mu Subscript x over bar μ x= sigma Subscript x over bar σ x=_______(Type an integer or...
The annual salary for one particular occupation is normally distributed, with a mean of about $133 comma 000 and a standard deviation of about $15 comma 000. Random samples of 28 are drawn from this population, and the mean of each sample is determined. Find the mean and standard deviation of the sampling distribution of these sample means. Then, sketch a graph of the sampling distribution. The mean is mu Subscript x over bar equals nothing, and the standard deviation...
A random sample of n=36 observations is drawn from a population with a mean equal to 24 and a standard deviation equal to 12. a. Give the mean and standard deviation of the (repeated) sampling distribution x over bar x. b Describe the shape of the sampling distribution of x over bar x. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x over bar x=19. d. Calculate the standard...
A random sample of n=36 observations is drawn from a population with a mean equal to 24 and a standard deviation equal to 12. a. Give the mean and standard deviation of the (repeated) sampling distribution x over bar x. b Describe the shape of the sampling distribution of x over bar x. Does your answer depend on the sample size? c. Calculate the standard normal z-score corresponding to a value of x over bar x=19. d. Calculate the standard...