Pennies made before 1983 are 97%copper and 3% zinc, whereas pennies made after 1
ID: 3179672 • Letter: P
Question
Pennies made before 1983 are 97%copper and 3% zinc, whereas pennies made after 1983 are 3% copper and 97% zinc. Listed below are the weights (in grams) of pennies from each of the two time periods. Find the mean and median for of the two samples, then compare the two sets of results The mean weight of the pennies made before 1983 is grams. (Round to five decimal places as needed.) The median weight the pennies made before 1983 is grams. (Round to five decimal places as needed.) The mean weight of the pennies made after 1983 is grams. (Round to five decimal places as needed.) The median weight of the pennies made after 1983 is grams. (Round to five decimal places as needed) Does there appear to be a considerable difference in the means? A No, because the difference in the means is less than 5%. B. Yes, because the difference in the means is more than 5%. C. No, because the difference in the means is more than 5%. D. Yes, because the difference in the means is less than 5%.Explanation / Answer
Solution:- given results:
Before 1983: 3.1049,3.0779,3.1273,3.1035,3.1585,3.1086
After 1983: 2.4842,2.4907,2.4956,2.5022,2.4825,2.4996
a)The mean weight of the pennies made before 1983 = Sum of terms/Number of terms
= (3.1049 + 3.0779 + 3.1273 + 3.1035 + 3.1585 + 3.1086)/6
= 18.6807/6
= 3.1135
The mean weight of the pennies made before 1983 is 3.1135 grams.
b) The median weight of the pennies made before 1983 = (3.1049+3.1086)/2 = 3.1067
The median weight of the pennies made before 1983 is 3.1067 grams.
c) The mean weight of the pennies made after 1983 = Sum of terms/Number of terms
=(2.4842 + 2.4907 + 2.4956 + 2.5022 + 2.4825 + 2.4996)/6
= 14.9548/6
= 2.4925
The mean weight of the pennies made after 1983 is 2.4925 grams.
d) The median weight of the pennies made after 1983 = (2.4907+2.4956)/2 = 2.4932
The median weight of the pennies made after 1983 is 2.4932 grams.
e) option b. Yes, because the difference in the means is more than 5%.
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