A school administrator wants to see if there is a difference in the number of students per class for the Portland Public School district (Group 1) compared to the Beaverton School district (Group 2). Let μ1 be the average number of students per class for the Portland Public School district. Let μ2 be the average number of students per class for the Beaverton School district. Assume the populations are normally distributed. A random sample of 27 Portland classes found a mean of 36 students per class with a standard deviation of 6. A random sample of 26 Beaverton classes found a mean of 37 students per class with a standard deviation of 2. Find a 99% confidence interval for the difference of the means. round answers to 2 decimal places. ______ < μ1-μ2 < _______ Since the above confidence interval (Select: is positive, negative, contains a zero) ________ , with 99% confidence, it is plausible that the average number of students per class for the Portland Public School district is (Select: higher than, smaller than, same as) ________ that for the Beaverton School district. Using these data, at significance levle of 0.01, if you were testing whether there is a difference in the number of students per class for the Portland Public School district compared to the Beaverton School district, then the conclusion would be same as above different from above because we used matching non-matching confidence level and significance level.
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.
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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.
A school administrator wants to see if there is a difference in the number of students per class for the Portland Public School district (Group 1) compared to the Beaverton School district (Group 2).
Let μ1 be the average number of students per class for the Portland Public School district.
Let μ2 be the average number of students per class for the Beaverton School district. Assume the populations are
A random sample of 27 Portland classes found a mean of 36 students per class with a standard deviation of 6.
A random sample of 26 Beaverton classes found a mean of 37 students per class with a standard deviation of 2.
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Find a 99% confidence interval for the difference of the means. round answers to 2 decimal places.
______ < μ1-μ2 < _______
- Since the above confidence interval (Select: is positive, negative, contains a zero) ________ , with 99% confidence, it is plausible that the average number of students per class for the Portland Public School district is (Select: higher than, smaller than, same as) ________ that for the Beaverton School district.
- Using these data, at significance levle of 0.01, if you were testing whether there is a difference in the number of students per class for the Portland Public School district compared to the Beaverton School district, then the conclusion would be
- same as above
- different from above
because we usedconfidence level and significance level.- matching
- non-matching
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