Stat Histogram Question

Question

The manager of a vacation resort believes that the ages of adult visitors to the resort can be modeled by a normal distribution. The manager surveyed a random sample of 765 visitors and recorded their age. A summary of the responses is shown in the frequency table, where x represents the age of the visitor.

(a) Construct a histogram of the distribution of ages.

(b) Write a few sentences to describe the distribution of ages of the adult visitors to the resort.

(c) Does the histogram provide convincing evidence that the surveyed ages come from a normal distribution? Explain your answer.

Age (years) Frequency

20≤x<30 160

30≤x<40 130

40≤x<50 100

50≤x<60 115

60≤x<70 125

70≤x<80 135

Answer 1

Hi John.

A. A histogram is a basically a bar graph of the information with the ages on the bottom (horizontal x axis) and the heights of each bar equal to the number in that age bracket (class). The bars do touch, so they need to be a little wider on each side.

B. Once you get that done, you need to describe the general shape. is it a bell shape (with the largest bar(s) in the middle and gets lower as you move away)? Is it rectangular? Is it like a side or a leaning bell curve? It's shape gives the nature of the data which can be a good clue as to what the population looks like.

C. If the answer to B is a bell curve, then it can be normal, otherwise it is not likely.