Question

Bag | Blue | Orange | Green | Yellow | Red | Brown | Total Number of Candies | |

1 | 7 | 23 | 9 | 11 | 4 | 6 | 60 | |

2 | 16 | 16 | 4 | 7 | 9 | 4 | 56 | |

3 | 14 | 14 | 3 | 10 | 5 | 11 | 57 | |

4 | 13 | 14 | 7 | 8 | 8 | 6 | 56 | |

5 | 18 | 12 | 7 | 10 | 5 | 7 | 59 | |

6 | 12 | 9 | 11 | 9 | 8 | 8 | 57 | |

7 | 15 | 16 | 6 | 6 | 6 | 8 | 57 | |

8 | 15 | 17 | 8 | 4 | 6 | 7 | 57 | |

9 | 12 | 14 | 10 | 5 | 10 | 7 | 58 | |

10 | 16 | 16 | 7 | 5 | 6 | 2 | 52 | |

11 | 18 | 10 | 6 | 9 | 9 | 3 | 55 | |

12 | 21 | 12 | 7 | 6 | 6 | 4 | 56 | |

13 | 18 | 12 | 9 | 5 | 7 | 2 | 53 | |

14 | 18 | 10 | 7 | 5 | 8 | 5 | 53 | |

15 | 18 | 16 | 7 | 4 | 7 | 4 | 56 | |

16 | 19 | 6 | 7 | 4 | 8 | 11 | 55 | |

17 | 15 | 15 | 7 | 6 | 9 | 3 | 55 | |

18 | 21 | 10 | 7 | 9 | 6 | 4 | 57 | |

19 | 20 | 8 | 5 | 4 | 13 | 6 | 56 | |

20 | 15 | 15 | 7 | 2 | 8 | 10 | 57 | |

21 | 13 | 11 | 11 | 3 | 15 | 5 | 58 | |

22 | 14 | 12 | 7 | 11 | 8 | 3 | 55 | |

23 | 11 | 15 | 6 | 10 | 7 | 6 | 55 | |

24 | 12 | 16 | 7 | 8 | 7 | 7 | 57 | |

25 | 15 | 16 | 6 | 5 | 8 | 6 | 56 | |

26 | 15 | 10 | 8 | 6 | 12 | 7 | 58 | |

27 | 20 | 14 | 5 | 4 | 5 | 8 | 56 | |

28 | 18 | 13 | 11 | 6 | 6 | 5 | 59 | |

29 | 12 | 13 | 11 | 4 | 9 | 8 | 57 | |

30 | 8 | 16 | 10 | 8 | 7 | 8 | 57 | |

31 | 15 | 10 | 9 | 9 | 6 | 5 | 54 | |

32 | 22 | 8 | 5 | 8 | 4 | 10 | 57 | |

33 | 14 | 12 | 5 | 11 | 9 | 5 | 56 | |

34 | 11 | 16 | 10 | 3 | 7 | 9 | 56 | |

35 | 13 | 17 | 5 | 3 | 12 | 4 | 54 | |

36 | 10 | 20 | 6 | 2 | 8 | 7 | 53 | |

37 | 10 | 12 | 10 | 6 | 11 | 6 | 55 | |

38 | 15 | 11 | 4 | 4 | 8 | 11 | 53 | |

39 | 14 | 16 | 3 | 7 | 8 | 7 | 55 | |

40 | 14 | 10 | 8 | 6 | 12 | 5 | 55 | |

41 | 16 | 17 | 10 | 5 | 5 | 3 | 56 | |

42 | 19 | 15 | 5 | 5 | 5 | 7 | 56 | |

43 | 13 | 14 | 6 | 5 | 7 | 10 | 55 | |

44 | 17 | 16 | 4 | 7 | 7 | 10 | 61 | |

45 | 13 | 12 | 11 | 4 | 10 | 6 | 56 | |

46 | 19 | 13 | 4 | 5 | 9 | 4 | 54 | |

47 | 17 | 15 | 6 | 8 | 7 | 4 | 57 | |

48 | 11 | 12 | 6 | 6 | 7 | 9 | 51 | |

49 | 19 | 12 | 5 | 2 | 7 | 12 | 57 | |

50 | 11 | 15 | 7 | 3 | 10 | 1 | 47 | |

51 | 15 | 13 | 5 | 8 | 8 | 9 | 58 | |

52 | 15 | 17 | 4 | 3 | 10 | 10 | 59 | |

53 | 15 | 16 | 4 | 3 | 5 | 11 | 54 | |

54 | 16 | 12 | 7 | 6 | 8 | 9 | 58 | |

55 | 13 | 17 | 8 | 4 | 9 | 6 | 57 | |

56 | 18 | 20 | 4 | 3 | 5 | 5 | 55 | |

57 | 14 | 18 | 5 | 7 | 8 | 6 | 58 | |

58 | 12 | 16 | 7 | 5 | 5 | 9 | 54 | |

59 | 10 | 13 | 7 | 10 | 7 | 8 | 55 | |

60 | 16 | 14 | 6 | 10 | 7 | 4 | 57 | |

61 | 8 | 21 | 3 | 5 | 10 | 9 | 56 | |

62 | 17 | 17 | 7 | 4 | 9 | 3 | 57 | |

63 | 7 | 16 | 8 | 7 | 10 | 8 | 56 | |

64 | 15 | 20 | 2 | 3 | 6 | 10 | 56 | |

65 | 14 | 19 | 5 | 5 | 5 | 9 | 57 | |

66 | 15 | 11 | 8 | 6 | 10 | 5 | 55 | |

67 | 14 | 13 | 9 | 9 | 4 | 2 | 51 | |

68 | 15 | 15 | 5 | 7 | 8 | 5 | 55 | |

69 | 16 | 15 | 5 | 8 | 4 | 8 | 56 | |

70 | 16 | 7 | 7 | 10 | 10 | 6 | 56 | |

71 | 13 | 16 | 10 | 8 | 2 | 6 | 55 | |

72 | 11 | 11 | 5 | 10 | 8 | 9 | 54 |

1. At the 0.01 level of significance, test if the true mean total number of candies (per bag) is greater than 54. Specify the hypothesis of the test, critical value, test statistic, P-value, decision (reject the null/ fail to reject the null), and the conclusion of what the decision means.

2. Assume the total number of candies is normally distribute, calculate the probability that a randomly sampled bag has at least 55 candies in a bag.

Answer #1

Please up vote the solution

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