Answer:
To conduct a t-test for the given data set, let's examine each statement and determine if it is correct or not:
A. The thickness of 300 brew caps is known to be normally distributed.
This statement is not provided in the given information, so we cannot determine if it is correct or not based on the given data.
B. The independent variables are the brew caps produced by type I and type II machines.
This statement is correct. The independent variables are the brew caps produced by the two types of machines (Type I and Type II).
C. The dependent variable is the thickness of the brew caps.
This statement is correct. The dependent variable is the thickness of the brew caps.
D. The t-value is -8.79.
This statement is not correct. The t-value is not provided in the given information, so we cannot determine its value.
E. The t-value is -3.63.
This statement is not correct. The t-value is not provided in the given information, so we cannot determine its value.
In summary, based on the given information, the correct statements are:
B. The independent variables are the brew caps produced by type I and type II machines.
C. The dependent variable is the thickness of the brew caps.
Explanation:
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