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BREAKOUT VIDEOGAME

Rebecca Dennis

Created on June 23, 2023

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Transcript

BREAKOUT

VIDEOGAME

VIDEOGAME

PRESS START

HI-SCORE

232323

MENÚ

INTRODUCTION

CHARACTERS

MISSIONS

© 20XX GENIALLY ESCAPE GAMES

HI-SCORE

232323

INTRODUCTION

LOREM IPSUM DOLOR SIT AMET, CONSECTETUER ADIPISCING ELIT, SED DIAM NONUMMY NIBH EUISMOD TINCIDUNT UT LAOREET DOLORE MAGNA ALIQUAM ERAT VOLUTPAT. UT WISI ENIM AD MINIM VENIAM, QUIS NOSTRUD EXERCI TATION ULLAMCORPER SUSCIPIT LOBORTIS NISL UT ALIQUIP EX EA COMMODO CONSEQUAT.

© 20XX GENIALLY ESCAPE GAMES

HI-SCORE

232323

CHARACTERS

PLAYER1

PLAYER2

PLAYER3

PLAYER4

© 20XX GENIALLY ESCAPE GAMES

HI-SCORE

232323

MISSIONS

Pass the missions to obtainthe password numbers

1 Binomial probabilities

4 Chi Squared test

3 Z test

2 Normal probabilities

PASSWORD

© 20XX GENIALLY ESCAPE GAMES

LEVEL 1

OF 5

There are a fleet of 25 alien flagships. Our pilot is trying to destroy their attacks. The probability that a flagship is destroyed is fixed at p = 0.35. Calculate the following probabilities. Probability that exactly 5 are destroyed.

0.0506

0.0826

0.0320

LEVEL 2

OF 5

Calculate the probability that at most 10 are destroyed.

0.630

0.875

0.771

LEVEL 3

OF 5

Calculate the probability that more than 15 are destroyed

0.00294

0.00931

0.000792

LEVEL 4

OF 5

Calculate the probability that at least 5 and at most 10 were destroyed.

0.689

0.739

0.598

LEVEL 5

OF 5

Calculate the standard deviation of the distribution

8.75

5.69

2.38

CONGRATULATIONS!

THE NUMBER OF THIS MISSION IS 3

GAME OVER

CONTINUE?

YES

NO

LEVEL 1

OF 5

The aliens that survived Level 1 are trying to break through the defence system by completing this game of tetris. The times to complete the puzzle is assumed to be normally distributed with mean 16.12 and standard deviation 1.60. Calculate the following probabilities. The probability that the puzzle is solved in under 15 minutes.

NEXT

0.758

0.242

0.758

LEVEL 2

OF 5

NEXT

Calculate the probability that the puzzle is solved in over 12 minutes

0.00501

0.875

0.995

LEVEL 3

OF 5

NEXT

Calculate the probability the puzzle is solved in between 12 and 15 minutes

0.237

0.214

0.565

LEVEL 4

OF 5

NEXT

For a sample of 12 aliens, find the probability that the mean time is less than 15 mins

0.992

0.934

0.164

LEVEL 5

OF 5

NEXT

Which hypothesis test would you use when the data is normally distributed?

chi squared test

z test

p hat test

CONGRATULATIONS!

THE NUMBER OF THIS MISSION IS 2

GAME OVER

CONTINUE?

YES

NO

LEVEL 1

OF 5

Some aliens made it through the first defence system.Complete the following z test to ward them off! Use the following data to test at the 5% significance level, that the mean completion time of the puzzle from level 1 exceeded 46.7 seconds. The standard deviation is 14.3. 38 63 79 91 42 53 84 Test at the 5% level whether the mean completion time is greater than 46.7. First step, pick the correct hypotheses below:

H0:µ = 46.7H1:µ ≠ 46.7

H0:µ = 46.7H1:µ > 46.7

H0:µ = 46.7H1:µ < 46.7

LEVEL 2

OF 5 Complete the following z test to ward them off!Use the following data to test at the 5% significance level, that the mean completion time of the puzzle from level 1 exceeded 46.7 seconds. The standard deviation is 14.3. 38 63 79 91 42 53 84 Test at the 5% level whether the mean completion time is greater than 46.7. Calculate the sample mean

64.286

67.497

63.243

LEVEL 3

OF 5

Calculate the test statistic

3.13

3.25

4.27

LEVEL 4

OF 5

Calculate the critical value

1.64

1.96

-3.223

LEVEL 5

OF 5

Conclude your test

Reject H0, significant evidence that mean score exceeds 46.7

Accept H0, no significant evidence the mean score exceeds 46.7

Reject H0, no significant evidence the mean score exceeds 46.7

CONGRATULATIONS!

THE NUMBER OF THIS MISSION IS 7

GAME OVER

CONTINUE?

YES

NO

LEVEL 1

OF 3

The last remaining aliens are through to the final defence system!Complete the following chi squared test to ward them off! See separate sheet given! Hypotheses are:

H0: Is association between region and preferenceH1: No association between region and preference

H0: No association between region and preferenceH1: Is association between region and preference

H0: Independent eventsH1: Not independent events

LEVEL 2

OF 3

The test statistic is

3.54

3.55

3.56

LEVEL 3

OF 3

Critical value is

7.815

9.488

9.147

CONGRATULATIONS!

THE NUMBER OF THIS MISSION IS 4

GAME OVER

CONTINUE?

YES

NO

Enter the correct code 👾

Numbers acquired from missions