QUESTION 1 A certain town is serviced by two hospitals In th

QUESTION 1

A certain town is serviced by two hospitals. In the larger hospital about 45 babies are born each day, and a smaller hospital about 15 babies are born each day. As you know, about 50% of all babies are boys, but the exact percentage would vary day by day at each hospital. Sometimes it may be higher than 50% and sometimes lower than 50%.

a. (multiple choice) Suppose each hospital calculates the percentage of boys born for many days, which hospital do you think will have more variability around 50%?

                                    Choose one: large hospital, small hospital, about the same

b. (multiple choice) For a period of 1 year, each hospital recorded the days on which more than 60% of the babies born were boys. Which hospital do you think recorded more such days?

                                    Choose one: large hospital, small hospital, about the same

QUESTION 2:

Imagine an urn filled with balls, of which 2/3 are one color and the remaining 1/3 are another color. One Person A selects 5 balls from the urn and found that 4 are red and 1 is white. Person B selects 20 balls from the urn and found that 12 are red and 8 are white. Which person (A or B) should feel more confident that the urn contains 2/3 red balls and 1/3 white balls, rather than the opposite? Explain your answer

Solution

1) A) IN LARGE HOSPITAL AS GIVEN 3 TIMES BABY ARE BORN THEN THE SMALL HOSPITALS

AS MORE BABY ARE BORN SO THERE ARE MORE CHANCES TO BE IN AND AROUND THE 50% OF EACH CHILD BECAUSE IT GIVES MORE CHANCES TO BE IN 50% FRAMEWORK

HENCE OPTION LARGE HOSPITAL IS CORRECT.

B) MORE NO: OF DAYS IN WHICH IT CROSS 60% IS POSSIBLE MORE ON THOSE SAMPLE WHICH HAVE LESS DATA AS MORE DATA GIVES LESS CHANCES TO OVERCOME 60% SIMILARLY APPLYING THIS LOGIC WE CAN GET THE MORE 60% IN SMALL HOSPITAL BECAUSE IT HAS LESS BIRTH TAKING PLACE THEN LARGE SO MORE CHANCES OF CROSSING THE 60%