Conditions
How many conditions are needed for a confidence interval (plan step)
What is 3?
How many steps are there in a confidence interval for proportions
What is 4
What does "t" stand for in significance tests?
What is, it stands for the test statistic.
How many types of errors are there?
What is 2
Is it okay to use your calculator to calculate the test statistic? What do you need to do?
Yes, but identify variables
What are the conditions? (Names only)
What is random, 10%, and Large Counts?
What are the 4 steps
What is state, plan, do, and conclude?
How do you calculate t? (Use formula)
(statistic - parameter)
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standard deviation of statistic
What are the errors called?
What is type one and type two
What is the formula for test statistic?
(statistic - parameter)
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standard deviation of statistic
What is the:
criteria for random?
criteria for 10%?
formulas for normal?
What is:
well designed random sample or experiment
sample of population has to be 10% or less
n is greater than or equal to thirty, if not then draw a box and whiskers plot.
If there is a condition missing in the plan step, what needs to be done?
What is, address it in the conclude step
What is the calculator step for finding t? What do you need to include in the Do step?
1-Sample t test
State which test you are doing and identify the variables.
What is the format for these errors?
Type one: Finding convincing evidence that ____ , when there wasn't.
Type two: Not finding convincing evidence that _____, when there was.
What do you do if your counts aren't large enough?
What is mention it in the conclude step.
Students in an AP Statistics class wants to estimate the proportion of pennies in circulation that are more than 10 years old. To do this, they gathered all the pennies they had in their pockets and purses. Overall, 57 of the 102 pennies they have are more than 10 years old.
Determine if all of the conditions are met.
What is we can assume the it's random because the students randomly received pennies.
What is it is safe to assume that there are more than 1,020 pennies in circulation in the USStudents in an AP Statistics class wants to estimate the proportion of pennies in circulation that are more than 10 years old. To do this, they gathered all the pennies they had in their pockets and purses. Overall, 57 of the 102 pennies they have are more than 10 years old. They estimate whether or not half of the pennies will be older than 10 yr.
Identify the null and alternative hypotheses (including what mu is)
What is:
Ho: mu equals 51
Ha: mu does not equal 51
mu equals the true number of pennies that are older than ten years old
mu
Using the formula only, what is the test statistic and p-value for:
x-bar = 30
Sx = 2.5
n = 30
(Answer may look weird)
What is
t = 21.909
p = 1.36 x 10^-19
Identify the error made:
t = 21.3p = 0.03
What is, type one error
What are similarities between confidence tests and significance tests?
What is box and whisker plots have to be made if n is lower than counts, etc.
Managers at Shoprite want to estimate the proportion of coupons used each day for three days out of all of the coupons in the flier. To do this, they collected total coupons from each cashier and recorded their total.
Are there any missing condition with the statement above? If so, what are they?
What is random variable
Construction zones: to see if drivers obey lower speed limits, a police officer used a radar gun to measure the speed (mph) of a random sample of 10 in a 25 mph construction zone. Here are the results:
27 33 32 21 30 30 29 25 27 34
Is there convincing evidence that the avg. speed of drivers in this zone is greater than the posted 25 mph speed limit?
(Note that the sample size is less than 30)
What is
D: t = 3.05
p-value = 0.007
C: Since the normal conditions were not met, the calculations may be off. We found that the p-value is 0.007 which is less than the significance level of 0.05, therefore we reject the null hypothesis.
Determine the Type of error made if we reject Ho
What is finding convincing evidence for Ho when there wasn't
Identify the type of error made and write it out.
t = 21.3
p = 0.03
Note that we are trying the find the true proportion of pennies in the US that are older than 10 years old (Ho= half)
What is, type one error: Finding convincing evidence that the true proportion of pennies in the US is half when there wasn't.
What is the difference between significance tests and confidence intervals? (Multiple)
What is formulas are different, we use fishy instead of intervals, we use t instead of z