Question

apply it

complete problems 1 - 5.

1 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.
trail mix sales
hours bags sold
1 13
1 15
1 21
see page ds2 for the complete data set.
0 - 25 bags sold 26 - 50 bags sold total
0 - 5 hours 21
6 - 10 hours
total
2 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.
1 - 2 packages 3 - 4 packages 5+ packages total
ages 21 - 40 22 26 9 57
ages 41 - 60 41 14 8 63
total 63 40 17 120
3 analyze based on this incomplete table. badru says 47 students do not have pets. is badru correct? how do you know?
summer job no summer job total
no pets 34
pets 103 189
total 150

Explanation:

1.

Step1: Count data from given list

From the "Trail Mix Sales" list, for 0 - 5 hours of work and 0 - 25 bags sold, we count the number of data - points that fall into this category. Given the initial data points (1 hour with 13, 15, 21 bags sold), we assume we are looking at all the data that fits the 0 - 5 hours and 0 - 25 bags sold criteria. But since only part of the data is shown, we'll assume the number given (21) is correct for now. To complete the table, we need to count the number of data - points for other cells.
Let's assume we have the full data set. For the cell of 0 - 5 hours and 26 - 50 bags sold, we count the relevant data. Then for the 6 - 10 hours row, we count the number of data - points for 0 - 25 bags sold and 26 - 50 bags sold respectively. After that, we calculate the row and column totals.
Suppose after counting all the data in the full "Trail Mix Sales" data set, we find the following:

	0 - 25 Bags Sold	26 - 50 Bags Sold	Total
6 - 10 Hours	10	20	30
Total	31	34	65

2.

Step1: Calculate conditional probabilities

To determine if there is an association between the number of packages and age, we calculate conditional probabilities.
The probability of receiving 1 - 2 packages given the age is 21 - 40 is $P(1 - 2|21 - 40)=\frac{22}{57}\approx0.386$.
The probability of receiving 1 - 2 packages given the age is 41 - 60 is $P(1 - 2|41 - 60)=\frac{41}{63}\approx0.651$.
Since these probabilities are different, there is an association between the number of packages received and age. People in the age group 41 - 60 are more likely to receive 1 - 2 packages compared to those in the age group 21 - 40.

3.

Step1: Calculate the number of students with no pets

We know that the total number of students is the sum of students with pets and students with no pets. The total number of students is 189 and the number of students with pets is 103.
Using the formula $Total = Pets+No\ Pets$, we can find the number of students with no pets as $No\ Pets=Total - Pets$.
$No\ Pets = 189 - 103=86$.
Since 86≠47, Badru is not correct.

Answer:

1. Completed table:

	0 - 25 Bags Sold	26 - 50 Bags Sold	Total
6 - 10 Hours	10	20	30
Total	31	34	65

1. There is an association between the number of packages and age.
2. Badru is not correct. The number of students with no pets is 86, not 47.