Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:

The alternate hypotesis is:

Our test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation(square roof of the variance) and n is the size of the sample.
In this problem, we have that:

So



The value of the test statistic is 
ATTACHED is the written out response.
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Its C cause the y intercept is -5
Probability of randomly rolling a 3 is 1/4
Step-by-step explanation:
Step 1:
It is given that a tetrahedron has 4 sides with 1,2,3 and 4 and is randomly rolled. We need to compute the probability of randomly rolling a 3.
Step 2:
Probability of an event = (Favorable outcomes) / (Total outcomes).
There are 4 total outcomes when the tetrahedron is rolled, these are the values 1 to 4.
The only favorable outcome is getting a 3
Probability of getting a 3 when the tetrahedron is randomly rolled = 1/4
Step 3:
Answer:
Probability of randomly rolling a 3 is 1/4