In: Statistics and Probability
A) The weights (in pounds) of babies born at a certain hospital last month are summarized in the table. Find the class limits for the second class. |
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what is the upper and lower limit?
B) Health care issues are receiving much attention in both academic and political arenas. A sociologist recently conducted a survey of citizens over 60 years of age whose net worth is too high to qualify for government health care but who have no private health insurance. The ages of 25 uninsured senior citizens were as follows:
68 | 73 | 66 | 76 | 86 | 74 | 61 | 89 | 65 | 90 | 69 | 92 | 76 |
62 | 81 | 63 | 68 | 81 | 70 | 73 | 60 | 87 | 75 | 64 | 82 |
Find Q1 of the data.
A.66.5 B. 64.5 C. 81.5 D. 65.5
C) A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. Use a 99% confidence interval to estimate the true proportion of students on financial aid.
a)0.59±0.0033. b)0.59±0.09090 c)0.59±0.0077 d)0.59±0.623
Solution:-
A) The class limits for the second class
The upper limit = 7.1, The lower limit = 6.1
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B) option D. 65.5
Explanation:
Given that
68,73,66,76,86,74,61,89,65,90,69,92,76,62,81,63,68,81,70,73,60,87,75,64,82
The first quartile (or lower quartile or 25th percentile) is the median of the bottom half of the numbers. So, to find the first quartile, we need to place the numbers in value order and find the bottom half.
60 61 62 63 64 65 66 68 68 69 70 73 73 74 75 76 76 81 81 82 86 87 89 90 92
So, the bottom half is
60 61 62 63 64 65 66 68 68 69 70 73
The median of these numbers is 65.5.
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C) option b)