A/C
Were the data sampled randomly?
What is Randomization Assumption
Instead of using a Normal model for the sampling distribution of the mean, what do we use?
What is T-Distribution
If p-value ______ α, we fail to reject Ho
What is Greater than
The difference of the averages between two independent groups?
What is Difference of Means
A recent study reported that high school students spend an average of 94 minutes per day texting.
Jenna calculated a sample mean of 96.5 minutes and a sample standard deviation of 6.3 minutes. Assume all conditions for inference are met. At the significance level of α=0.05, do the data provide convincing statistical evidence to support Jenna’s claim?
What test should be used?
What is 1-Mean T-Test
Is it reasonable to assume the sample values are independent? (10% condition)
What is Independence Assumption
How do you find the degrees of freedom?
What is Sample Size - 1
The probability that the test will correctly reject H0.
What is The power of the test.
The average of the difference between data within same group?
What is Mean Difference
The anterior cruciate ligament (ACL) is one of the ligaments that help stabilize the knee. Surgery is often recommended if the ACL is completely torn, and recovery time from the surgery can be lengthy. A medical center developed a new surgical procedure designed to reduce the average recovery time from the surgery. To test the effectiveness of the new procedure, a study was conducted in which 210 patients needing surgery to repair a torn ACL were randomly assigned to receive either the standard procedure or the new procedure. The standard procedure data is as follows, n = 110, x = 217, SDx = 34. The new procedure data is as follows, n = 100, x = 186, SDx = 29. What test is appropriate to be used here?
What is 2-Mean T-Test for a difference of means.
If the sample exceeds 30, then the central limit theorem (CLT) is satisfied, however, if the sample is less than 30 then the sample distribution should be roughly unimodal and symmetric with no outliers
What is Sample Size Assumption
The exact shape depends on the
What is Degree of Freedom
The probability of making a Type I error increases when this increases
What is Significance level
The statistical hypothesis test used to determine whether an unknown population mean is different from a specific value.
What is 1-Mean T-Test
Absorption rates into the body are important considerations when manufacturing a generic version of a brand-name drug. A pharmacist read that the absorption rate into the body of a new generic drug (G) is the same as its brand-name counterpart (B). She has a researcher friend of hers run a small experiment to test H0: mu (G) - mu (B) = 0 against the alternative Ha: mu (G) - mu (B) not = 0. What would be the Type I error?
Are the samples independent of each other?
What is Independent Groups Assumption
What two things are symbols of a small sample size?
What is A wider shape and fatter tails.
p-value ______ α, we reject Ho.
What is Less than
The statistical hypothesis test used to determine if two population means are equal.
What is 2-Mean T-Test
A father is concerned that his teenage son is watching too much television each day, since his son watches an average of 2 hours per day. His son says that his TV habits are no different than those of his friends. Since this father has taken a stats class, he knows that he can actually test to see whether or not his son is watching more TV than his peers. The father collects a random sample of television watching times from boys at his son’s high school and gets the following data: 1.9, 2.3, 2.2, 1.9, 1.6, 2.6, 1.4, 2.0, 2.0, and 2.2
Is there evidence that other boys average less than 2 hours of television per day? Name the test that should be conducted.
What is 1-Mean T-Test
Are the data paired (NOT independent)?
What is Matched Pair Assumption
As df increases, the shape becomes?
What is More normal
Assuming Ho is true, there is _______________probability of getting __________________or ______________by chance. What is this called?
What is Interpreting the P-value in context
The statistical test used to determine whether the mean difference between two sets of observations is zero
What is Matched Pair T-Test
Many states mandate tests that have to be passed in order for the students to graduate with a high school diploma. A local school superintendent believes that after-school tutoring will improve the scores of students in his district on the state’s graduation test. A tutor agrees to work with 15 students for a month before the superintendent will approach the school board about implementing an after-school tutoring program. The after-school tutoring program will be implemented if student scores increase by more than 20 points. The superintendent will test a hypothesis using alpha = 0.02. What test should be conducted in this scenario?
What is Matched Pair T-Test