Six animal trainers took a test before training and after training. The scores are shown in the table. Assume that the two samples are randomly selected from normally distributed populations. At the 0.1 significance level, test the claim that the training had a positive effect on the test scores. (Be sure to subtract in the same direction).
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
Tree diagram
Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
![Six animal trainers took a test before training and after training. The scores
are shown in the table. Assume that the two samples are randomly selected
from normally distributed populations. At the 0.1 significance level, test the
claim that the training had a positive effect on the test scores.
(Be sure to subtract in the same direction).
Before (%) | After (%) | Difference
66
74
74
65
70
79
69
84
60
86
63
99
What are the correct hypotheses? (Select the correct symbols and values.)
Họ: Select an answer v ? v Select an answer v
H: Select an answer v
? vSelect an answer v
Original Claim
=Select an answer v
df =
Based on the hypotheses, find the following:
Test Statistic
(Round to three decimal places and show work in the "show work" box below.)
Critical value(s) =
(Round to three decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9076e7a-57c1-402a-997f-53718f1a9a67%2Fad816534-48c6-48eb-972b-f17aca5d1e00%2Fjcp95to_processed.png&w=3840&q=75)
![Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The
arrows can only be dragged to t-scores that are accurate to 1 place after the decimal point (these values
correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left,
to the right, between or left and right of the t-score(s).
Shade: Left of a value
Click and drag the arrows to adjust the values.
-1
2 3
-T.5
Decision: Select an answer
Conclusion: [Select an answer
effect on the test scores.
|the claim that the training had a positive](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff9076e7a-57c1-402a-997f-53718f1a9a67%2Fad816534-48c6-48eb-972b-f17aca5d1e00%2F2qvu4jw_processed.png&w=3840&q=75)
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