Answer:
Step-by-step explanation:
From the given information, we can compute the table showing the summarized statistics of the two alloys A & B:
Alloy A Alloy B
Sample mean
Equal standard deviation
Sample size
Mean of the sampling distribution is :
Standard deviation of sampling distribution:
Hypothesis testing.
Null hypothesis:
Alternative hypothesis:
The required probability is:
This implies that a minimal chance of probability shows that the difference of 4 is not likely, provided that the two population means are the same.
b)
Since the P-value is very small which is lower than any level of significance.
Then, we reject and conclude that there is enough evidence to fully support alloy A.