Calculate the ratio of two variances and test the equality of the variances and comments. Calculate the value of pool

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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

Calculate the following

 

Daily Production of Factory 1

Daily Production of Factory 1

Sample Size

 

 

Degree of freedom

 

 

Mean

 

 

Variance

 

 

Standard Deviation

 

 

  1. Calculate the ratio of two variances and test the equality of the variances and comments.
  2. Calculate the value of pool standard deviation (Sp), degree of freedom in the light of part “b” and SED       
  3. Write the null and alternative hypothesis for comparing the production of two factories.  
  4. Calculate the critical values“ttab”, and tcal          
  5. Write the conclusion for the null hypothesis of part “d”                                                                                                                                                                           
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Hypothesis Tests and Confidence Intervals for Equality of Variances
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