Formulas
Assorted topics
Example Problems
Graphing
Common Errors
100

What is the formula for mean of a binomial distribution?

What is np?

100

What are the three conditions that need to be met for a population distribution?

What is 

1. Random

2. 10% condition

3. Approx. normal 

100

A sign at a local business says "rate us 5-stars on google ang get a $10 gift card" the store manager reads the ratings to learn how people in the community feels about the business. What type of sampling method is this?

What is Voluntary response sample 

100

what type of distribution is this dotplot?

o

o o

o o  o

o o  o       o o o

1 2 3 4 5 6 7 8 9 10

Average amount of babies had in an American household

 what is right skewed 

100

If you reject H but it is a correct conclusion, what type of error are you committing?

What is a Type 1 error?

200

What is the Formula for P.E?

What is P1+P2/2= P.E

200

How do you find degrees of freedom?

N-1= degrees of freedom 

200

The U.S. Forest Service is considering additional restrictions on the number of vehicles allowed to entre Yellowstone National Park. To assess public reaction, the service asked a random sample of 150 visitors if they favored the proposal. Of these, 89 say yes. 

Construct a 99% confidence interval for the proportion of all visitors at Yellowstone who favor the restriction.

What is (0.49002, 0.69664).

200

What type of distribution is this?

         o 

      o o o

    o o o o o

o o o o o o o o 

1 2 3 4 5 6 7 8 9 10

Average groundings Peyton experiences in a given school year

What is approximately normal?

200

What type of problem does not have a set number of trials?

what is geometcdf (geometric distribution)

300

What is formula for Chi-squared ?

 What is x= (observed- expected)2/ expected 

300

What is alpha?

assume normal 

what is P= 0.05 

300

Conrad picks a random sample of 100 geodes from a bin at a rock store. He has a 0.8 probability of getting a red geode. In this sample, Conrad found 85 red geodes.

In another random sample of 100 geodes, what is the probability that Conrad finds more than 85 red geodes (your answer should be the p-value).

What is 0.1056 (0.11)?

300

What is the shape of this graph?

                      o o o            

  o o o          o o o o

1 2 3 4 5 6 7 8 9 10 

Average times Aubrey is yelled at by her mother in a given week

What is left skewed 

300

C.L.T is used for which type of problem as a condition?

What is finding the true mean

400

What is the Binomial Probability formula?

what is p(x=x)=(nx)px(1-p)n-x


400

What is type 2 error?

 what is, If his correct, but we still fail to reject Ho

400

Genetics says that the genes they inherit from their parents are independent from one child to the next. Each child of a particular set of parents has a probability of 0.25 of having type O blood. Suppose these parent have 5 children. Let x= the number of children with type O blood. Find (p=3). Interpret this value.

what is 0.08789

400

What type of graph is this?

        366 l 1 l  44678

9845566  l 2 l  5556886

        567 l 3 l  6678756

       874  l 4 l  897

Average points scored by players on a basketball team per game for two independent 4a high schools.

Key:

Left side is one sample. (ex: 16)

Right side is second sample. (ex. 14)

What is a stem plot 

400

When do you Reject Ho?

What is, when the His lower than the significance level (usually 0.05)

500

What is the Formula for confidence interval?

What is Statistic +( critical value)(standard error of statistic)

500

What is the reason behind r2?

What is beyond the scope of this class?

500

 If the producer finds convincing evidence that more than 8% of the potatoes in the shipment have "blemishes", the truck will be sent away to get another load of potatoes from the supplier. Otherwise the entire truckload will be used to make potato chips. To make the decision a supervisor inspects a random sample of 500 potatoes from the shipment. The producer will the perform a test at the 0.05 significance level

Ho=0.08

Ha>0.08   

where P= the true proportions of potatoes with blemishes in a given truck load. Describes the type one and type two errors in this setting. 

what is:

Type 1: The producer finds convincing evidence that more than 8% of potatoes in the shipment have blemishes when the true prop is 0.08 (doesn't ship potatoes when he should've)

Type 2: The producer sends away the truck load of acceptable potatoes wasting time and money (finds evidence that 8% have blemishes but rejects Ho and assumes more than 8% do)

500

What is the D.U.F.S of this graph?

4l o         o                      o             o

2l     o         o

2l   o        o       o           o

1l o     o

  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 

Distribution of AP Statistics Exam Score (y-axis) and hours of sleep the night before (x-axis)

D- Slightly positive 

U- Outlier at (4,15)

F- Not linear 

S- Moderately weak

Context: Distribution of students' AP Statistics Exam Score and the number of hours of sleep the night before has a slight positive correlation that is not linear and moderately weak with a potential outlier at (4,15)

500

How do you Increase power?

What is Increase sample size and Increase the alpha level.

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