In the Fall semester of 2001, there were 3,645 female students and 5009 male students enrolled at BYU-Idaho. What percentage of students during that semester were female?

In the Fall semester of 2001, there were 3,645 female students and 5009 male students enrolled at BYU-Idaho. What percentage of students during that semester were female? % (Round the final percentage to one decimal place) Is this number a parameter or a statistic? In a random sample of 300 students from the 2001 fall semester, there were 119 females and 181 males. What percentage of students in the sample are female? % (Round the final percentage to one decimal place) Is this number a parameter or a statistic?

To find the percentage of female students during the Fall semester of 2001 at BYU-Idaho, we will follow these steps:

Step 1: Determine the total number of students

Total students = Female students + Male students Total students = 3,645 + 5,009 = 8,654

Step 2: Calculate the percentage of female students

Percentage of female students = (Female students / Total students) * 100

Step 3: Perform the calculation

Percentage of female students = (3,645 / 8,654) * 100 ≈ 42.1%

The percentage of female students during the Fall semester of 2001 at BYU-Idaho was approximately 42.1%. This number is a parameter because it represents the entire population of students during that semester.

Next, we will find the percentage of female students in the random sample of 300 students from the 2001 fall semester.

Step 1: Determine the total number of students in the sample

Total students in the sample = 300

Step 2: Calculate the percentage of female students in the sample

Percentage of female students in the sample = (Female students in the sample / Total students in the sample) * 100

Step 3: Perform the calculation

Percentage of female students in the sample = (119 / 300) * 100 ≈ 39.7%

The percentage of female students in the sample from the 2001 fall semester is approximately 39.7%. This number is a statistic because it represents a sample, not the entire population of students during that semester.

Method 2

Solution: Total number of students enrolled = Number of male students + Number of female students

Total number of students enrolled = 3645 + 5009

⟹Total number of students enrolled = 8654

Among them, 3,645 are female students.

Hence, 42.1% of students during that semester were females.

This data is from an entire population of students enrolled at BYU−Idaho.

∴ This is a parameter.

There is a total of 300 students in the sample.

Among them, 119 are female students.

Percentage of females = 39.7%

Hence, 39.7% of students in the sample are female

This data is from a sample of students.

∴ This is a statistic.

Conclusion

In the Fall semester of 2001, 3,645 female students and 5,009 male students were enrolled at BYU-Idaho. 42.1% percentage of students during that semester were female. This number is a parameter. In a random sample of 300 students from the 2001 fall semester, there were 119 females and 181 males. 39.7% percentage of students in the sample are female? This number is a statistic.