Answer to Question #158678 in Statistics and Probability for Umar

Question

Question 1. 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                                                                                              

Daily Production of Factory 1

Sample Size

Degree of freedom

Mean

Variance

Standard Deviation

Daily Production of Factory 2

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.

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

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

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

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

Answer 1

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