A simple random sample of size equals 49 is obtained from a population with mu equals 84 and sigma equals 14. (a) Describe the sampling distribution of x overbar. (b) What is Upper P (x overbar greater than 87.8 )

(a) The sampling distribution of is given by;

              ~ Normal ( )

(b) P(> 87.8) = 0.0287

Step-by-step explanation:

We are given that a simple random sample of size equals 49 is obtained from a population with mu equals 84 and sigma equals 14.

Let = sample mean

The z-score probability distribution for sample mean is given by;

                             Z = ~ N(0,1)

where, = population mean = 84

            = standard deviation = 14

            n = sample size = 49

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

(a) The sampling distribution of is given by;

              ~ Normal ( )

(b) Probability of greater than 87.8 is given by = P(> 87.8)

      P( > 87.8) = P( > ) = P(Z > 1.90) = 1 - P(Z 1.90)

                                                        = 1 - 0.9713 = 0.0287

The above probability is calculated by looking at the value of x = 1.90 in the z table which has an area of 0.9713.

step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

the declaration was drafted by the abbé sieyès and the marquis de lafayette, in consultation with thomas jefferson.[2] influenced by the doctrine of "natural right", the rights of man are held to be universal: valid at all times and in every place, pertaining to human nature itself. it became the basis for a nation of free individuals protected equally by the law. it is included in the beginning of the constitutions of both the fourth french republic (1946) and fifth republic (1958) and is still current. inspired by the enlightenment philosophers, the declaration was a core statement of the values of the french revolution and had a major impact on the development of freedom and democracy in europe and worldwide.[3]

the 1789 declaration, together with the 1215 magna carta, the 1689 english bill of rights (1689), the 1776 united states declaration of independence, and the 1789 united states bill of rights, inspired in large part the 1948 united nations universal declaration of human rights

do you have a picture of the table