The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.1 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use = .10.
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.
The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each of the two departments shows cost variances of 2.1 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ in terms of unit cost variance? Use = .10.
![The accounting department analyzes the variance of the weekly unit costs reported by two production departments. A sample of 16 cost reports for each
of the two departments shows cost variances of 2.1 and 5.4, respectively. Is this sample sufficient to conclude that the two production departments differ
in terms of unit cost variance? Use a = .10.
a. State the null and alternative hypotheses.
H
2
Select
0: 0
H
2
a:
1
Select
b. Calculate the value of the test statistic (to 2 decimals).
c. The p-value is Select
d. What is your conclusion?
Cannot conclude that the departments differ in terms of unit cost variance ♥](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbc4bf4ee-302d-4110-9a7d-bd13981ce23b%2F88c9a9e5-aac8-4d60-ac52-955c10c82f42%2Flykc79t_processed.png&w=3840&q=75)
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