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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 :

MathPhys

Step-by-step explanation:

(a) A histogram is like a bar graph, but with ranges instead of values.

(b) The distribution is approximately uniform, with slightly more people at the younger and older ends than in the middle.

(c) The ages do not appear to come from a normal distribution.  Normal distributions are bell-shaped, tall in the middle and short on the sides.

${teks-lihat-gambar} MathPhys
okpalawalter8

We have that

  • The Diagram is well drawn
  • The Histogram explicitly explains the vacation class
  • And the surveyed ages  is not from a normal distribution

a)

The correct diagram of the  distribution of ages is attached below

b)

From the Histogram of the distribution it is seen that adults of First Class (20-30) have the highest number coming on vacation. While the Third and Fourth class (40-60) range experiences a low number of persons coming on vacation the  from Fifth and Sixth Class( 60 -80) also have a high rate of adults  on vacation .

c)

NO

This Distribution can not be seen as a Normal distribution because the chart is devoid of symmetry.

In conclusion

  • The Diagram is well drawn
  • The Histogram explicitly explains the vacation class
  • And the surveyed ages  is not from a normal distribution

For more information on this please visit

https://brainly.com/question/23370669

${teks-lihat-gambar} okpalawalter8

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