Name the inference procedure
One sample t-test for M
Leah wants to test if the true proportion of people who like to listen to pop music is less than 0.5. She calculated a z score of -1.68.
0.046
In an ordered dataset, this is the name for the middle value
Median
When you randomly select a group and sample every person in that group
Cluster random sampling
What is a type 1 error?
When you find convincing evidence to reject the null hypothesis, but the null hypothesis is true.
Two sample z-interval for P1-P2
Kevin samples 50 people to test if the true mean number of groceries bought by a person in one trip at his local grocery store is higher than the national mean number of groceries bought by a person in one trip. He calculated a t of 3.08
0.0017
Events that can not occur simultaneously are called this
Mutually exclusive
You randomly select a starting point and then sample every something number of people
systematic random sampling
Name the Type of Bias -
A student from a large college emailed senior students to fill out a survey rating the food on campus. Out of 500 students that were emailed, only 200 responded.
Non response bias
Predictor Coef SE coef
Constant 191.312 93.284
Phone Life 6.543 3.788
Perform the appropriate test
Linear regression t-test for slope
Katie wants to run a t - test to figure out how many cars families in her town own compare the national average. The national average is 1.9 and her sample mean was 1.5 and a standard deviation was .50. She took a sample of 44 randomly selected families. She wants to know if towns population mean differs from the national mean, what is her p - value?
.0000036
the probability of rejecting the null hypothesis when the null hypothesis is false
Power
When you divide a sample into similar groups and assign each a treatment.
Randomized Block Design
Ellie was trying to find the Massachusetts population mean of number of students in a high school. She believed the mean number of high schools would have over 2,000 students. With her sampling data she found a p value of .13, what conclusion can you draw with this p - value at a significance level of .05.
Since the p - value of .13 is greater than a = .05 we fail to reject the null. There is no convincing evidence to suggest that the true population mean of students in a Massachusetts high school is greater than 2000.
x2 test for goodness of fit
Zach wants to know what the probability is of him getting heads on a fair two sided coin on three coin flips out of four.
0.25
what is the probability of a Type 1 error?
the alpha level
When you pair two individuals together and randomly assign each of them to one of the treatments.
Matched Pairs Design
What is a type 2 error and what is the probability of it?
A type 2 error is when you do not find convincing evidence to reject the null hypothesis but the null hypothesis is false. The probability of it is 1 - (probability of power).
Chloe took a sample of 100 students and she wants to investigate the mean difference in scores of students on the placement test. She recorded the score of each student before and after the student took a math course that prepares them for the test. Chloe wants to know if there is convincing statistical evidence for the appropriate test at the 5% significance level.
One sample t-test for a mean difference
Maeve wants to know if the proportion of students who participate in a club is greater than .60. She took a sample of 400 students and found her sample mean to be .73. What is her p - value.
.000000056
what is the probability of a type 2 error?
1 - power
You separate the population into rows, and then randomly select two people in each row. What type of random sampling is this?
Stratified Random Sample
Describe the steps to carry out a random sample.
First, you must label each of your experimental units. Next, you must use a random number generator or other random method to select the desired number of integers. Lastly, you must identify the experimental units that correspond to the selected integers.