The following data were obtained from a company that manufactures special plastic containers that are to hold a specified volume of hazardous material. On each of the three 8-hour shifts workers are able to make 500 of the containers. Some containers do not meet specifications as required by the company's customer because they are too small; others, because they are too large.
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.
![4. The following data were obtained from a company that manufactures special plastic
containers that are to hold a specified volume of hazardous material. On each of the
three 8-hour shifts workers are able to make 500 of the containers. Some containers
do not meet specifications as required by the company's customer because they are
too small; others, because they are too large.
Conformance to Specification
Shift
Too small
Within spec. Too large
8 am
36
452
12
4 pm
Midnight
24
443
33
12
438
50
The appropriate inference procedure to use to analyze this information would be:
.2
А.
goodness-of-fit test
B. Two-proportion z-test
test of homogeneity
x²
С.
D.
test of independence](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb5823564-5518-422f-8923-0b8138ff642d%2F1beb5d02-e6cc-4b10-8a7d-1ad340eb12bd%2Fvogxw08_processed.png&w=3840&q=75)
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