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What are the errors that could arise from this data? What type of test should be

ID: 3049711 • Letter: W

Question

What are the errors that could arise from this data? What type of test should be used and why? What is the mean? Support all your work.

Days Calls

1 45

2 30

3 53

4 69

5 67

6 45

7 17

8 46

9 46

10 33

11 59

12 74

13 42

14 35

15 38

16 18

17 41

18 63

19 72

20 44

21 45

22 44

23 40

24 48

25 67

26 72

27 39

28 52

29 45

30 40

31 34

32 75

33 88

34 63

35 38

36 48

37 42

38 50

39 74

40 61

41 28

42 37

43 27

44 44

45 49

46 70

47 75

48 42

49 23

50 38

51 11

52 71

53 80

54 70

55 41

56 47

57 33

58 38

59 29

60 83

61 60

62 54

63 35

64 46

65 51

66 58

67 72

68 86

69 48

70 57

71 51

72 62

73 62

74 70

75 76

76 46

77 31

78 26

79 60

80 59

81 83

82 71

83 49

84 51

85 50

86 56

87 49

88 94

89 73

90 42

Explanation / Answer

If we are conducting hypothesis test to test about some claim regarding this data, for ex: - average number of calls during the day and we are taking sample of 90 days, then we should be using t-test for the mean and the types of errors that can arise are as follows: -

1) Type 1 error: - Falsely reject true null hypothesis

2) Type 2 error: - Incorrectly considering a false null hypothesis

The mean would be 51.84 (4666/90)

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