Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations. 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 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.
Show all your work. Indicate clearly the methods you use, because you will be scored on the correctness of your methods as well as on the accuracy and completeness of your results and explanations.
| 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 |
The manager of a vacation resort believes that the ages of adult visitors to the resort can be modeled by a
(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.
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