b. Calculate variances and te equality of the vari c. Calculate the value of pool standard deviation (Sp), 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 "tak", and tal

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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Q1. Following is the data related to the daily production of the two factories of same product
located in two different states.
Daily Production
Factory
Factory 1
| Factory 2
66 66 73 83 74 73 73 69 82 71 73 66 67 s0 79 78
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 (Sp), 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 "tak", and tal
f. Write the conclusion for the null hypothesis of part "d"
[1]
Transcribed Image Text:Q1. Following is the data related to the daily production of the two factories of same product located in two different states. Daily Production Factory Factory 1 | Factory 2 66 66 73 83 74 73 73 69 82 71 73 66 67 s0 79 78 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 (Sp), 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 "tak", and tal f. Write the conclusion for the null hypothesis of part "d" [1]
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