In: Statistics and Probability
The company you work for provides you with 20 random wish bone
samples to calculate the yield strength of a material used in your
production proccess. The data calculated is provided below. The
steel you recieve is reported to have a mean of 420 with a standard
deviation of 5 MPa.
yield_strength =
c(444,435,465,423,425,470,417,418,410,399,425,423,459,465,420,423,417,404,420,451)
a
Can you run a HT with this data? Why?
b
Assuming you can, calculate the standard error and margin of error
with an alpha level of 5%
c
Create a 95% CI for your data.
d
You are tasked with determining if the steel you are getting is to
be considered “good” product. What is the null and alternative
hypothesis?
e
Calculate the Z score and p value. Interpret the results.
2
Using the yield strength data from 1. You belive that the yield
strength for the calculated data is greater than that of the
results reported from the manufacturer.
a
What is null and alternative hypothesis?
b
Calculate the z score and p value. Interpret the results.