One of the issues facing organizations Is increasing diversity throughout an organization. One of the ways to evaluate an organization’s success at increasing diversity is to compare the percentage of employees in the organization in a particular position with a specific background to the percentage in a particular position with that specific background in the general workforce. Recently, a large academic medical determined that 9 to 17 employees in a particular position were female, whereas 55 % of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the position of females in the position at this medical center is different from would be expected in the general workforce?
One of the issues facing organizations Is increasing diversity throughout an organization. One of the ways to evaluate an organization’s success at increasing diversity is to compare the percentage of employees in the organization in a particular position with a specific background to the percentage in a particular position with that specific background in the general workforce. Recently, a large academic medical determined that 9 to 17 employees in a particular position were female, whereas 55 % of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the position of females in the position at this medical center is different from would be expected in the general workforce?
Solution Summary: The author concludes that the proportion of females in a particular position at the medical center is different from the expected proportion.
One of the issues facing organizations Is increasing diversity throughout an organization. One of the ways to evaluate an organization’s success at increasing diversity is to compare the percentage of employees in the organization in a particular position with a specific background to the percentage in a particular position with that specific background in the general workforce. Recently, a large academic medical determined that 9 to 17 employees in a particular position were female, whereas 55 % of the employees for this position in the general workforce were female. At the 0.05 level of significance, is there evidence that the position of females in the position at this medical center is different from would be expected in the general workforce?
A well-known company predominantly makes flat pack furniture for students. Variability with the automated machinery means the wood components are cut with a standard deviation in length of 0.45 mm. After they are cut the components are measured. If their length is more than 1.2 mm from the required length, the components are rejected.
a) Calculate the percentage of components that get rejected.
b) In a manufacturing run of 1000 units, how many are expected to be rejected?
c) The company wishes to install more accurate equipment in order to reduce the rejection rate by one-half, using the same ±1.2mm rejection criterion. Calculate the maximum acceptable standard deviation of the new process.
5. Let X and Y be independent random variables and let the superscripts denote
symmetrization (recall Sect. 3.6). Show that
(X + Y) X+ys.
8. Suppose that the moments of the random variable X are constant, that is, suppose
that EX" =c for all n ≥ 1, for some constant c. Find the distribution of X.
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