A company produces chips to sell for commercial electronic products. A specific product type is required to have a maximum variance of 0.001 sq. cm. The finished products are to undergo quality testing before shipping. A sample of sixteen chips are measured using a precise instrument having the following observations: 1.63 1.65 1.71 1.64 1.69 1.62 1.63 1.70 1.64 1.59 1.66 1.63 1.65 1.57 1.66 1.69 Assuming that the data is normally distributed, use a level of significance of 0.025 to test whether the lot should be shipped and that it conforms to the set specifications of the company a.What are the hypothesis statements? b.Which hypothesis test is appropriate for the study? c.What is the critical value? type in up to 2 decimal places
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.
A company produces chips to sell for commercial electronic products. A specific product type is required to have a maximum variance of 0.001 sq. cm. The finished products are to undergo quality testing before shipping. A sample of sixteen chips are measured using a precise instrument having the following observations:
1.63 1.65 1.71 1.64
1.69 1.62 1.63 1.70
1.64 1.59 1.66 1.63
1.65 1.57 1.66 1.69
Assuming that the data is
a.What are the hypothesis statements?
b.Which hypothesis test is appropriate for the study?
c.What is the critical value? type in up to 2 decimal places
d.What is the conclusion of the study?
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