jeopardy chi-squared confidence intervals hypothesis testing vocabulary formulas q $100 q $200 q...

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Jeopardy Chi-Squared Confiden ce Interval s Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $100 Q $100 Q $100 Q $200 Q $200 Q $200 Q $200 Q $300 Q $300 Q $300 Q $300 Q $400 Q $400 Q $400 Q $400 Q $500 Q $500 Q $500 Q $500 Final Jeopardy

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Page 1: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

JeopardyChi-Squared Confidence

Intervals

Hypothesis Testing Vocabulary Formulas

Q $100

Q $200

Q $300

Q $400

Q $500

Q $100 Q $100Q $100 Q $100

Q $200 Q $200 Q $200 Q $200

Q $300 Q $300 Q $300 Q $300

Q $400 Q $400 Q $400 Q $400

Q $500 Q $500 Q $500 Q $500

Final Jeopardy

Page 2: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question from H1

What is the degree of freedom for the 2-way table below?

Grade in StatisticsA B C D F

Junior 4 7 3 1 1

Senior 12 13 16 8 5

Page 3: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Answer from H1

4

Page 4: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$200 Question from H1

For the 2-way table above, compute the expected number of students that are seniors and that have a B in statistics.

A B C D F

Junior 4 7 3 1 1

Senior 12 13 16 8 5

Page 5: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$200 Answer from H1

15.43

Page 6: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$300 Question from H1State the HO and HA for this two way table

Grade in Statistics

A B C D F

Junior 4 7 3 1 1

Senior 12 13 16 8 5

Page 7: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$300 Answer from H1

Ho: There is no connection between grades and year in schoolHa: There is a connection between grades and year in school

Page 8: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$400 Question from H1

Compute the Chi Squared statistic for this 2-way table.

Grade in Statistics

A B C D F

Junior 4 7 3 1 1

Senior 12 13 16 8 5

Page 9: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$400 Answer from H1

3.087

Page 10: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question from H2

Find the standard deviation for the following sampling distribution: 200 high school students at Dublin High were sampled and asked how much money they spent on lunch off campus.

The mean of the sample was $5.25 and the standard deviation was $1.15.

Page 11: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Answer from H2

$0.081

Page 12: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$200 Question from H2

Compute the margin of error (95% confidence level) for the $100 question.

200 high school students at Dublin High were sampled and asked how much money they spent on lunch off campus. The mean of the sample was $5.25 and the standard deviation was $1.15.

Page 13: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$200 Answer from H2

$0.159

Page 14: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$300 Question from H2

Compute a 95% confidence interval for the situation from the $100 question:

200 high school students at Dublin High were sampled and asked how much money they spent on lunch off campus.

The mean of the sample was $5.25 and the standard deviation was $1.15.

Page 15: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$300 Answer from H2

($5.09, $5.41)

Page 16: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$400 Question from H2

What is the margin of error for the confidence interval below?

(72.61,79.39)

Page 17: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$400 Answer from H2

$3.39

Page 18: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question from H3

Write the Ho and Ha for the problem below:

A professional golfer claims that, with her driver, she can hit the ball an average of 300 yards. You ask her to hit the ball in the driving range 20 times. The average distance is 291 yards with a standard deviation of 16 yards.

Page 19: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Answer from H3

H0: μ = 300Ha: μ < 300

300

300

300

300

300

300

Page 20: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$200 Question from H3

Compute the standard deviation of the sampling distribution for the $100 question.

A professional golfer claims that, with her driver, she can hit the ball an average of 300 yards. You ask her to hit the ball in the driving range 20 times. The average distance is 291 yards with a standard deviation of 16 yards.

Page 21: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$200 Answer from H3

3.58

Page 22: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$300 Question from H3Make a conclusion about the golfer’s claim by running the appropriate hypothesis test

A professional golfer claims that, with her driver, she can hit the ball an average of 300 yards. You ask her to hit the ball in the driving range 20 times. The average distance is 291 yards with a standard deviation of 16 yards.

Page 23: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$300 Answer from H3

P-value = .0105. Reject Ho in favor of Ha. The sample does not provide good evidence that the golfer can hit the ball an average of 300 yards.

Page 24: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$400 Question from H3A professional golfer claims that, with her driver, she can hit the ball an average of 300 yards. You ask her to hit the ball in the driving range 20 times. The average distance is 291 yards with a standard deviation of 16 yards.

Find the minimum distance of the average of 20 drives the golfer would need to hit in order for you to accept her claim if you require 5% significance. (assume the standard deviation is still 16.)

Page 25: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$400 Answer from H3

294 yards

Page 26: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question from H4

Define the phrase: Margin of error

Page 27: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Answer from H4

Distance from the mean to one end of a confidence interval

Page 28: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$200 Question from H4

Explain Simpson’s Paradox

Page 29: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$200 Answer from H4

An association or comparison that holds for all of several groups can disappear or reverse direction when the data are combined to form a single group

Page 30: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$300 Question from H4

Define the phrase: Null Hypothesis

Page 31: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$300 Answer from H4

Statement of no effect or no change

Page 32: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$400 Question from H4

What kind of variables are being compared in a two-way table?

Page 33: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$400 Answer from H4

Categorical variables

Page 34: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Question from H5

For each question in this category, the name of a formula used in Chapter 10 will appear. You need to write the formula.

Margin of error for a sample mean

Page 35: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$100 Answer from H5

*s

Zn

*s

Zn

*s

Zn

Page 36: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$200 Question from H5

Expected counts in a two-way table

Page 37: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$200 Answer from H5

row total column total

table total

row total column total

table total

Page 38: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$300 Question from H5

Z-score formula for a hypothesis test of a sample mean

Page 39: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$300 Answer from H5

Xz

Page 40: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$400 Question from H5

Confidence interval for a sample mean

Page 41: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

$400 Answer from H5

*s

X Zn

Page 42: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

Final Jeopardy

Your Text Here

Page 43: Jeopardy Chi-Squared Confidence Intervals Hypothesis Testing Vocabulary Formulas Q $100 Q $200 Q $300 Q $400 Q $500 Q $100 Q $200 Q $300 Q $400 Q $500

Final Jeopardy Answer

Your Text Here