Question

complete problems 1 - 5. translate measurement data can also be separated into categories and displayed in two - way tables. the autism awareness club sells bags of trail mix to raise money for a trip to an autism friendly park. the number of hours each member works and the bags of trail mix they sell are recorded. use data set: trail mix sales to complete the two - way table. interpret a survey is given to 120 people ages 21 - 60. the people are asked how many packages they received in the past month. the table shows the results. is there an association between the number of packages and age? explain. analyze based on this incomplete table, badru says 47 students do not have pets. is badru correct? how do you know?

Explanation:

Step1: Analyze problem 1

We need the full data - set "Trail Mix Sales" which is not provided here, so we cannot complete the two - way table.

Step2: Analyze problem 2

To check for an association between number of packages and age, we can look at the conditional probabilities.
The proportion of people in ages 21 - 40 who received 1 - 2 packages is $\frac{22}{57}\approx0.386$.
The proportion of people in ages 41 - 60 who received 1 - 2 packages is $\frac{41}{63}\approx0.651$. Since these proportions are different, there is an association between the number of packages and age.

Step3: Analyze problem 3

The number of students with no pets is the sum of students with no pets and summer job and students with no pets and no summer job.
The number of students with no pets and summer job is not given, but we know the total number of students with no pets should be the sum of the values in the "No Pets" row. From the table, the number of students with no pets is $34 + x$ (where $x$ is the number of students with no pets and summer job).
We know that the total number of students with pets is 180 and 103 have a summer job, so the number of students with pets and no summer job is $180 - 103=77$.
The total number of students with no summer job is $34 + 77 = 111$.
The total number of students with summer job is 150.
The total number of students in the survey is not clear from the given incomplete table to accurately find the number of students with no pets. But if we assume the table is set up correctly in terms of rows and columns, the number of students with no pets is not 47. So Badru is not correct.

Answer:

1. Cannot be completed due to lack of data - set.
2. There is an association between the number of packages and age.
3. Badru is not correct.