Answer to Question #159327 in Statistics and Probability for Ali

Question

Following is the data related to the daily production of the two factories of same product located in two different states.

 

Factory

Daily Production

Factory 1

66

66

73

83

74

73

73

69

82

71

73

66

67

80

79

78

 

 

 

 

 

Factory 2

66

63

71

65

65

67

57

48

71

73

68

58

62

81

60

62

72

72

57

77

68

 

a.     Calculate the following                                                                                              [2]

 

Daily Production of Factory 1

Daily Production of Factory 1

Sample Size

 

 

Degree of freedom

 

 

Mean

 

 

Variance

 

 

Standard Deviation

 

 

 

b.    Calculate the ratio of two variances and test the equality of the variances and comments.[1]

c.     Calculate the value of pool standard deviation (S_p), degree of freedom in the light of part “b” and SED                                                                                                                       [1]

d.    Write the null and alternative hypothesis for comparing the production of two factories. [1]

e.     Calculate the critical values “t_tab”, and t_cal                                                                     [1]

Write the conclusion for the null hypothesis of part “d”     

Answer 1

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