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Suppose that you perform a significance test regarding a population mean and that the evidence does not warrant rejection of the null hypothesis. When formulating the conclusion to the test, why is the phrase fail to reject the null hypothesis more accurate than the phrase accept the null hypothesis? Why can the null hypothesis not be proved? Explain.
Using this information, calculate Blpha risk (probability of Type II error) if the true population mean really is 81.
You will be graded on accuracy, completeness (addressing each point above), and effectiveness (utility, ease of reading).
Use differential calculus to find both sales volume at which revenue is maximised and the maximum revenue available from sales of product X.
Determine whether the description corresponds to an observational study or an experiment. Thirty university students are divided into two groups, one group receives free tutoring in mathematics, the other does not.
20 students in a class - if there is a 15% probability that a randomly chosen member has seen a particular movie - what is the expected number of students have seen the movie?
FBI Report do greater universities that tend to have more property crime. Keep a scatter diagram also sketch the line you think best fits the data.
An elementary school principal would like to know how many hours the students spend watching TV each day. A sample of n = 25 children is selected, and a survey is sent to each child's parents.
Using this test 80% of Down's syndrome cases can be identified at birth, while 5% of normals are detected as positive. a. What is the sensitivity and specificity of the test?
Alice and Bob agree to meet at the bus stop between 12 noon and 1pm. They each arrive at a random time in that interval and wait for 5 minutes before leaving, unless they see the other person. What is the probability that they meet each other?
The following estimated regression model was developed relating yearly income (Y in $1,000s) of 30 individuals with their age (X 1 ) and their gender (X 2 ) (0 if male and 1 if female).
For patients over age 80, probability is 0.05 that coronary bypass patient will die soon after surgery, if hospital performs eight such operations, determine the probability of two or more fatalities?
Given that we have collected pairs of observations on two variables X and Y , we would consider fitting a straight line with X as an explanatory variable if:
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