Answer:
(e) There is sufficient evidence to reject the claim that the mean etch rate is the same for both solutions
Explanation:
Given
Solutions 1 and 2
Solving (a): Mean of solution 1
For Solution 1, we have the following data:
The sample mean is calculated as:
Where
So, we have:
Solving (b): Mean of Solution 2
For Solution 1, we have the following data:
The sample mean is calculated as:
Where
So, we have:
Solving (c): Sample Standard Deviation of solution 1
This is calculated as:
This gives:
--- approximated
Solving (d): Sample Standard Deviation of solution 2
This is calculated as:
So, we have:
Solving (e): Test the hypothesis
Start by calculating pooled standard deviation
Calculate test statistic
Calculate the degree of freedom
The p value is the in the column title of the student t distribution in row 18
The p value is less than the significance level (0.05).
i.e.
<em>So: Reject the null hypothesis</em>
Solving (f): 95% two-sided confidence interval
Calculate the degree of freedom
Calculate
Using student t distribution
Calculate margin of error (E)
The boundaries of the confidence are:
The confidence interval is: