The ages of four students in a statistics class (considered the population) are:

Name Age

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Baker 24

Miller 19

Smith 22

Bailey 24

a. What is the shape of the population? (Graph the distribution)

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b. How many samples of size two are possible?

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c. Select all possible samples of two and then compute the mean of each one.

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d. Organize the sample means into a sampling distribution. Compute the mean of the population and that of the sample means. Are these values the same?

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e. What is the shape of the sampling distribution? (graph it). What theorem explains the shape of this distribution?

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2. In the drawing below there are three point charges in four (partially overlapping) Gaussian surfaces (labelled a, b, c, d). a) Which Gaussian surfaces (if any) have zero net electric flux? b) Which Gaussian surfaces (if any) have net electric flux +q/co? a + 9 29 + 9. b CA nonconducting infinite plane sheet of charge has a uniform positive charge per unit area o. To find the electric field E using Gauss's Law, you draw a cylindrical Gaussian surface of length L and cross- the picture. sectional area A that goes through the charged sheet, as shown in E Gaussian X surface X x x X X X X X X X X X X X X X X X X X X VX X XXIX X X + + +++ X Gaussian surface E What is the total electric flux through the Gaussian surface? O = EAL O D = 2EA O Q = EA O D = 2REALQuestion 15 1 pts The figure shows a cubical Gaussian Surface; at the center of the cube is a point charge (the circle) with charge 189. What could explain the flux through BOTTOM face of the Gaussian Surface being 2q,/Eg? TOP BOTTOM An unshown positive charge located above the TOP face of the Gaussian Surface. An unshown negative charge located below the BOTTOM face of the Gaussian Surface. None of the other answers can explain this situation. An unshown positive charge located below the BOTTOM face of the Gaussian Surface. O An unshown positive charge located within the Gaussian Surface.q Gauss' law may be written as '95: e O . Which of the following statements concerning the charge or is true? L!) The charge q is the sum of all charges outside the Gaussian surface. C) The electric eld due to q is zero inside the Gaussian surface. Q The charge q is the sum of all charges on the Gaussian surface. L) The charge q is the sum of all charges inside the Gaussian surface. L; The charge q is the sum of all charges inside and outside the Gaussian surface