QUESTION IMAGE
Question
- mouse experiment
an experiment studies the effects of an experimental drug on the number of offspring a mother - mouse has. 10 female mice are given the drug. the number of mice in their litters is compared to the litters of mice that did not take the drug. determine the average number of mice for each group:
| number of babies in litter | average | ||||
| group a (drug) | 5 | 10 | 12 | 8 | 5 |
| group b (control) | 7 | 7 | 6 | 6 | 14 |
based on the data, what conclusion can be made about the effectiveness of the drug?
- cow growth rates
a type of feed claims to boost the growth rate of cows. the feed is tested on two twin newborn cows. bessie receives the experimental feed, and bertha receives regular corn feed. their weights are recorded below.
| month | april | may | june | july | aug |
bessie|100 lbs|210 lbs|260 lbs|320 lbs|400 lbs|
bertha|100 lbs|250 lbs|290 lbs|340 lbs|400 lbs|
graph the data below. use a dotted line for bessie and a straight line for bertha. make sure you label the x and y axis of the graph
both cows ended at the same weight, but did the experimental feed change the way they gained weight at all? describe your conclusions about the experimental feed and explain why it is important that the experiment used twin cows?
1. Mouse Experiment - Average Calculation
Step1: Calculate average for Group A
The formula for the average (arithmetic - mean) is $\bar{x}=\frac{\sum_{i = 1}^{n}x_{i}}{n}$, where $x_{i}$ are the data - points and $n$ is the number of data - points. For Group A, $n = 5$, and $x_1=5,x_2 = 10,x_3=12,x_4 = 8,x_5=5$. Then $\sum_{i = 1}^{5}x_{i}=5 + 10+12 + 8+5=40$. So, $\bar{x}_A=\frac{40}{5}=8$.
Step2: Calculate average for Group B
For Group B, $n = 5$, and $x_1=7,x_2 = 7,x_3=6,x_4 = 6,x_5=14$. Then $\sum_{i = 1}^{5}x_{i}=7 + 7+6 + 6+14=40$. So, $\bar{x}_B=\frac{40}{5}=8$.
Since the average number of offspring in both the group that received the drug (Group A) and the control group (Group B) is the same (8), based on this limited data, there is no evidence to suggest that the experimental drug has an effect on the number of offspring a mother mouse has.
On the x - axis, label the months (April, May, June, July, August). On the y - axis, label the weight in pounds. For Bessie, plot the points (April, 100), (May, 210), (June, 260), (July, 320), (August, 400) and connect them with a dotted line. For Bertha, plot the points (April, 100), (May, 250), (June, 290), (July, 340), (August, 400) and connect them with a straight line.
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The average number of mice in Group A (drug) is 8, and the average number of mice in Group B (control) is 8.