When treatment groups are re-sorted over and over using random assignment in order to create a randomization distribution, what will the mean of the distribution be?(1 point)
Responses
The distribution mean will be greater than +1.
The distribution mean will be greater than plus 1 .
The distribution mean will be less than −1.
The distribution mean will be less than negative 1 .
The distribution mean cannot be predicted.
The distribution mean cannot be predicted.
The distribution mean will be close to zero.
The distribution mean will be close to zero.
The distribution mean will be close to zero.
Which statement best describes the randomization distribution created by using the randomized trial data provided below?
Trial # Response Variable Mean: Group A Response Variable Mean: Group B
1 10.5 10.1
2 10.1 9.9
3 10.2 10.2
4 10.2
10.4
5 10.1 10.5
6 10.1 10.1
7 10.6 10.3
8 10.3 10.6
9 10.1 10.3
10 10.5 10.4 (1 point)
Responses
The distribution will have plotted values between 10.1 and 10.6, but it does not have one central value.
The distribution will have plotted values between 10 point 1 and 10 point 6 , but it does not have one central value.
The distribution will center on zero (0), with plotted values between −0.4 and +0.4.
The distribution will center on zero 0 , with plotted values between negative 0 point 4 and plus 0 point 4 .
The distribution will have plotted values between −0.4 and +0.4, but it does not have one central value.
The distribution will have plotted values between negative 0 point 4 and plus 0 point 4 , but it does not have one central value.
The distribution will center on a mean of 10.3, with plotted values between 10.1 and 10.6.
The distribution will center on a mean of 10.3, with plotted values between 10.1 and 10.6.
Use the image to answer the question.
A histogram has an x-axis labeled Difference in Height left parenthesis count right parenthesis ranging from negative 8 to 8 in increments of 2. The y-axis labeled as Frequency ranging from 0 to 40 in increments of 10.
A researcher is testing a new fertilizer to determine whether it encourages plant growth. One group of oak tree saplings is treated weekly with the new fertilizer, while another group of oak tree saplings is not. Their heights are recorded weekly. After 10 weeks, the results are compared. The researcher finds that the average difference in the heights of the fertilized saplings versus the nonfertilized saplings is 1.5 centimeters. She then generates a simulation of 96 more trials. Examine the histogram of the simulation of differences. Do the data and the simulations provide evidence that the fertilizer has encouraged growth?
(1 point)
Responses
The data and simulations show no evidence that the fertilizer encourages growth. The average height falls in the bin near the center of the distribution, between 0–2, indicating that the difference is unusual.
The data and simulations show no evidence that the fertilizer encourages growth. The average height falls in the bin near the center of the distribution, between 0–2, indicating that the difference is unusual.
The data and simulations show no evidence that the fertilizer encourages growth. The average height falls in the bin near the center of the distribution, between 0–2, indicating that the difference is not unusual.
The data and simulations show no evidence that the fertilizer encourages growth. The average height falls in the bin near the center of the distribution, between 0–2, indicating that the difference is not unusual.
The data and simulations show evidence that the fertilizer encourages growth. The average height falls in the bin near the center of the distribution, between 0–2, indicating that the difference is unusual.
The data and simulations show evidence that the fertilizer encourages growth. The average height falls in the bin near the center of the distribution, between 0–2, indicating that the difference is unusual.
The data and simulations show evidence that the fertilizer encourages growth. The average height falls in the bin near the center of the distribution, between 0–2, indicating that the difference is not unusual.
The data and simulations show evidence that the fertilizer encourages growth. The average height falls in the bin near the center of the distribution, between 0–2, indicating that the difference is unusual.
Use the table to answer the question.
Option 1 38 33 45 36 37 43 42 38 45 40
Option 2 34 49 42 46 39 38 45 43 42 38
What is the difference in the means between Option 1 and Option 2?
(1 point)
Responses
5.3
5.3
39.7
39.7
41.6
41.6
1.9
1.9
Which of the following could be an accurate conclusion from a randomization test?(1 point)
Responses
There is proof of a statistically significant difference between the groups since the difference in means is found in a bin with a low count with most of the other simulations located far from that bin.
There is proof of a statistically significant difference between the groups since the difference in means is found in a bin with a low count with most of the other simulations located far from that bin.
There is proof of a statistically significant difference between the groups since the difference in the means is found in a bin with a high count with most of the other simulations located near that bin.
There is proof of a statistically significant difference between the groups since the difference in the means is found in a bin with a high count with most of the other simulations located near that bin.
There is evidence of a statistically significant difference between the groups since the difference in the means is found in a bin with a high count with most of the other simulations located near that bin.
There is evidence of a statistically significant difference between the groups since the difference in the means is found in a bin with a high count with most of the other simulations located near that bin.
There is evidence of a statistically significant difference between the groups since the difference in means is found in a bin with a low count with most of the other simulations located far from that bin.