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.

In a normal distribution, the data points are approximately similar, such that the data points becomes progressively a given value as the sample sizes become larger

The required values are;

(a) Please find attached the graph of the histogram of the wages

(b) The distribution of the ages of the adult visitor to resort

Among the visitors, the age group of between 40 to 50 years have the lowest number of visitors, while the adults with ages between 20 and 30 years old are among the age group that visit the resort the most, followed by the 70s age group, the 30s age group, 60s, and then the 50s age group

(c) A normal distribution is a bell shaped distribution, and is called a bell curve informally, while the given distribution is a U-shaped distribution that is symmetric which is the distribution obtained on controversial topics such as a review survey

The mean, median and mode of a normal distribution are the same. In the given distribution, the median is the 40 to 50 age group while the mode is the 20 to 30 age group which are different age groups

Therefore, the distribution is not normal

Learn more about the normal distribution here:

https://brainly.com/question/14644201