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INTRODUCTION

MISSIONS

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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

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CHARACTERS

PLAYER1

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PLAYER2

PLAYER3

PLAYER4

LOREM IPSUM DOLOR SIT AMET, CONSECTETUER ADIPISCING ELIT, SED DIAM NONUMMY NIBH EUISMOD

LOREM IPSUM DOLOR SIT AMET, CONSECTETUER ADIPISCING ELIT, SED DIAM NONUMMY NIBH EUISMOD

LOREM IPSUM DOLOR SIT AMET, CONSECTETUER ADIPISCING ELIT, SED DIAM NONUMMY NIBH EUISMOD

LOREM IPSUM DOLOR SIT AMET, CONSECTETUER ADIPISCING ELIT, SED DIAM NONUMMY NIBH EUISMOD

MISSIONS

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1 Binomial probabilities

2 Normal probabilities

3 Z test

4 Chi Squared test

PASSWORD

Pass the missions to obtainthe password numbers

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.

OF 5

LEVEL 1

1

0.0506

0.0826

0.0320

2

3

X

Calculate the probability that at most 10 are destroyed.

OF 5

LEVEL 2

1

0.630

0.875

0.771

2

3

X

Calculate the probability that more than 15 are destroyed

OF 5

LEVEL 3

1

0.00294

0.00931

0.000792

2

3

X

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

OF 5

LEVEL 4

1

0.689

0.739

0.598

2

3

X

Calculate the standard deviation of the distribution

OF 5

LEVEL 5

1

8.75

5.69

2.38

2

3

X

THE NUMBER OF THIS MISSION IS 3

CONGRATULATIONS!

X

CONTINUE?

GAME OVER

X

YES

NO

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.

OF 5

LEVEL 1

1

0.758

0.242

0.758

2

3

X

NEXT

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

OF 5

LEVEL 2

1

0.00501

0.875

0.995

2

3

X

NEXT

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

OF 5

LEVEL 3

1

0.237

0.214

0.565

2

3

X

NEXT

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

OF 5

LEVEL 4

1

0.992

0.934

0.164

2

3

X

NEXT

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

OF 5

LEVEL 5

1

chi squared test

z test

p hat test

2

3

X

NEXT

THE NUMBER OF THIS MISSION IS 2

CONGRATULATIONS!

X

CONTINUE?

GAME OVER

X

YES

NO

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 84Test at the 5% level whether the mean completion time is greater than 46.7.First step, pick the correct hypotheses below:

OF 5

LEVEL 1

1

H0:µ = 46.7H1:µ ≠ 46.7

H0:µ = 46.7H1:µ > 46.7

H0:µ = 46.7H1:µ < 46.7

2

3

X

OF 5Complete 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 84Test at the 5% level whether the mean completion time is greater than 46.7.Calculate the sample mean

LEVEL 2

1

64.286

67.497

63.243

2

3

X

Calculate the test statistic

OF 5

LEVEL 3

1

3.13

3.25

4.27

2

3

X

Calculate the critical value

OF 5

LEVEL 4

1

1.64

1.96

-3.223

2

3

X

Conclude your test

OF 5

LEVEL 5

1

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

2

3

X

THE NUMBER OF THIS MISSION IS 7

CONGRATULATIONS!

X

CONTINUE?

GAME OVER

X

YES

NO

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:

OF 3

LEVEL 1

1

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

2

3

X

The test statistic is

OF 3

LEVEL 2

1

3.54

3.55

3.56

2

3

X

Critical value is

OF 3

LEVEL 3

1

7.815

9.488

9.147

2

3

X

THE NUMBER OF THIS MISSION IS 4

CONGRATULATIONS!

X

CONTINUE?

GAME OVER

X

YES

NO

CONGRATULATIONS

THANKS FOR PLAYING

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