Question

In: Statistics and Probability

The company you work for provides you with 20 random wish bone samples to calculate the...

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.

Solutions

Expert Solution

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