Question

When Abraham Lincoln was first elected to the presidency, he received 39.82% of the 1,865,908 votes cast. The collection of all of those votes is the population being considered. Is the 39.82% a parameter or a statistic?

Part (a) gives the total votes cast in the 1860 presidential election. Consider the total numbers of votes cast in all presidential elections. Are those values discrete or continuous?

c. How many votes did Lincoln get when he was first elected to the presidency?

  The labels on U-Turn protein energy bars include the statement that these bars contain “125% less fat than the leading chocolate candy brands” (based on data from Consumer Reports magazine). What is wrong with that claim?

In a study of the presence of radon in homes, 237 homes in LaGrange, New York, were measured, and 19% of them were found to have radon levels above 0.4 pCi/L (picocuries per liter), which is the maximum safe level set by the Environmental Protection Agency. What is the actual number of tested homes that have unsafe levels of radon?

c. When 186 homes in Hyde Park, New York, were tested for radon, 30 were found to have levels above the maximum safe level described in part (b). What is the percentage of the Hyde Park homes above the maximum safe level of radon?

HELP WITH ALL , PLEASE AND THANK YOU !

Answer 1

1. Since the collection of all votes is considered parameter, 39.82% of votes will also be a parameter.

(a) The total no. of votes cast in all presidential election will only be an exact number, thus it will be discrete.

(c) As stated in the problem, Lincoln received 39.82% of 1,865,908 votes. Thus, Lincoln received (39.82/100) * 1,865,908 = .3982* 1,865,908 = 743,004.5656 votes

2. If the U-turn energy bars contain no fat at all, then also it can contain only 100% less fat than any other brand. So 125% is a wrong number.

3. As stated in the problem, 19% of the tested homes have radon levels above the same limit. Thus the actual number of tested homes that have unsafe levels of radon = (19/100) * 237= 45.03= 45 homes

(c) As given, 30 homes out of 186 were having radon levels above the safe limit. So, the percentage of homes above the maximum safe level = (30/186) * 100% = 16.13%