An industrial supplier has shipped a truckload of teflon lubricant cartridges to an aerospace customer. The customer has been assured that the mean weight of these cartridges is in excess of the 10 ounces printed on each cartridge. To check this claim, a sample of n=10 cartridges are randomly selected from the shipment and carefully weighed. Summary statistics for the sample are: x=10.11 ounces, s=.30 ounce To determine whether the supplier's claim is true, consider the test, H 0: μ = 10 vs. H a: μ > 10 vs. where μ is the true mean weight of the cartridges. Find the rejection region for the test using a=.01 t > 3.25, where t depends on 9 df |z| > 2.58 z > 2.33 t > 2.821, where t depends on 9 df
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.
|
t > 3.25, where t depends on 9 df
|
||
|
|z| > 2.58
|
||
|
z > 2.33
|
||
|
t > 2.821, where t depends on 9 df
|
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 7 images
