# statistics

1. A survey was conducted to study the proportion of smokers in UK. The question, “Do you smoke?” was asked to 1000010000 randomly selected UK residents. Results showed that 47.547.5% of them smoke. Determine:

(a) Population(b) Sample(c) Parameter(d) Statistics(e) Variable

2.A city department has introduced a quality improvement program and has allowed employees to get credit for overtime hours when attending the meetings of their quality groups. The total number of overtime meeting hours, for each of the 26 pay periods in one year by now, were: 30, 100, 100, 96, 194, 163, 65, 41, 100, 43, 96, 100, 80, 42, 100, 75, 95, 65, 43, 163, 41, 41, 80, 114, 30, 114

(a) Find the mean of the overtime hours.

(b) Complete the table and find the variance and standard deviation.

3. The number of days the first 22 heart transplant patients at Stanford survived after their operation were: 3, 15, 20, 23, 26, 32, 32, 32, 46, 48, 48, 56, 64, 68, 69, 69, 70, 71, 71, 80, 85, 125

(a) Find the median.

(b) Find the 90 ℎ90th percentile.

(c) Find the first and the third quartile.

(d) Is there any outlier in this data set?

(e) Construct a box plot.

4.The medical records of the 445 male diabetics patients reporting to a clinic during one year provide the following results:

Find the probability that:

(a) The age of the patients is above 40 and their parents are not diabetics.

(b) The age of the patients is above 40 or their parents are not diabetics.

(c) The age of the patients is above 40 given that their parents are not diabetics.

(d) The age of the patients is between 20 and 40 or their parents are diabetics.

If =A=”The age of the patient is below 20” and =B=”Patient’s parents are diabetics”.

(e) Are events A and B independent? Justify tour answer.

(f) Are events A and B mutually exclusive? Justify tour answer.

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