A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 181 students using Method 1 produces a testing 1. average of 88.9. A sample of 197 students using Method 2 produces a testing average of 63.9. Assume that the population standard deviation for Method 1 is 15.73, while the population standard deviation for Method 2 is 17.35. Determine the 98% Method 1 and students using Method 2. Step 1. Find the critical value that should be used in constructing the confidence interval. confidence interval for the true difference between testing averages for students using Answer: *- 88.9 1.73 181 n2 = 197 x, 63.9 6- 15.73 Puake 0.9901 2 = 17, 35 Step 2. Construct the 98% confidence interval. Round your answers to one decimal %3D place. Answer: Lower endpoint: Upper endpoint:
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.
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DUE DATE: WEEK OF MAY 3, 2021
1.
average
Method 1 and students using Method 2.
Step 1. Find the critical value that should be used in constructing the confidence
interval.
x= 88.9 - 15.73
%3D
181=4
X, 63.9
o2= 17, 35
Answer:
nz =197
%3D
Pucke 0.9901
()
Step 2. Construct the 98% confidence interval. Round your answers to one decimal
place.
Answer: Lower endpoint:
Upper endpoint:
An investigator compares the durability of two different compounds used in the
manufacture of a certain automobile brake lining. A sample of 240 brakes using
Compound 1 yields an average brake life of 42,783 miles. A sample of 230 brakes
Compound 2 yields an average brake life of 40,727 miles. Assume that the populat
standard deviation for Compound 1 is 1639 miles, while the population standard
deviation for Compound 2 is 4130 miles. Determine the 80% confidence interval
the true difference between average lifetimes for brakes using Compound 1 and br
2.
using Compound 2.
n,-240 x- 42,783 0 1639
%3D
Mz=230 X2=40,727 0,=4130
Step 1. Find the critical value that should be used in constructing the confidence
interval.
Answer:
42,783-40,727
1
2.
4130
246
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