For the population of one town, the number of siblings, x, is a random variable whose relative frequency histogram has a reverse J-shape. The mean number of siblings is 1.3 and the standard deviation is 1.4. Let denote the mean number of siblings for a random sample of size 30. Determine the sampling distribution of the mean for samples of size 30, and give its mean and standard deviation

The mean is given by:

And the deviation is given by:

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the number of siblings of a population, and for this case we know the distribution for X is given by:

Where and

The sample mean is given by this formula:

The sample size is n =30, and the distribution for the sample mean is given by:

The mean is given by:

And the deviation is given by:

d

step-by-step explanation:

by observation, we can see that the the graph is simply the graph of y = |x| that has been shifted 4 units downwards and 3 units to the left.

we can recognize in choice d :

y = | x + 3 |   - 4 (rewriting in general form)

y = | x - (- 3) |   - 4

the "-4 " term means   that the graph has been shifted by 4 units in the negative y direction

the "-3 " term means   that the graph has been shifted by 3 units in the negative x direction

this matches our observation of the graph described above.

(23*2)-12=x     x=34

step-by-step explanation: