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
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
![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]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff788ad36-8f32-4664-9d5a-053709862249%2F55d42c41-95ae-49c9-affd-dc30657959c5%2Fn0gobil_processed.jpeg&w=3840&q=75)
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