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STA 2381- Probability and Statistics Exam | Questions with Correct Verified Answers
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STA 2381- Probability and Statistics Exam | Questions with Correct Verified Answers
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STA 2381- Probability and StatisticsExam | Questions with Correct
Verified Answers
If we fail to reject the null hypothesis when the alternative is true, we are making a _____
_____ Error. - ANSWER Type II
α represents the probability of making a _____ _____ Error. - ANSWER Type I
β represents the probability of making a _____ _____ Error. - ANSWER Type II
α and β are _____ related for fixed sample sizes. - ANSWER inversely
T/F: α + β = 1 - ANSWER false
T/F: You can never control the probability of making a Type II Error. - ANSWER true
You can simultaneously _____ α and β by increasing the sample size. - ANSWER decrease
The p-value is the probability of getting the resulting value of the test statistic that is
found using sampled data, or one more rare, if the _____ hypothesis is true. - ANSWER
null
The two-sample t-test is used to detect differences in two _____ means. - ANSWER population
T/F: Statistical hypothesis testing takes sampling error into account. - ANSWER true
, T/F: If one fails to reject the null hypothesis, then there is evidence to support the
null hypothesis. - ANSWER false
T/F: For confidence intervals of two means, if 0 is in the interval, then there is no method
to distinguish a difference between the two means. - ANSWER true
What are the three basic assumptions of testing for residual analysis? - ANSWER independence;
normality; homoscedasticity
What minimum value of the coefficient of determination indicates that there is
strong correlation in the data? - ANSWER 0.7
When variability of a regression line does not change as X changes, this is called __________. -
ANSWER homoscedasticity
In linear regression analysis, the sample slope will never be ___ because of sampling error. -
ANSWER 0
Aligning the data points onto an estimated regression line to test for a line of best fit is
called the _____ _____ method. - ANSWER least squares
T/F: MSE stands for mean squared error and MSE is a random variable. - ANSWER true
T/F: In simple linear regression analysis, both the independent and dependent variables are
non-random or fixed variables. - ANSWER false
T/F: Every estimator has sampling distribution. - ANSWER true
Confidence intervals estimate _____. - ANSWER parameters
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