Given the function p below, which statement correctly compares the values of p(1) and p(2)? P(x)=4 x
1 answer:
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Answer:
Step-by-step explanation:
Information given
represent the sample mean for the content of active ingredient
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be:
(1)
Now we can calculate the statistic:
P value
The degrees of freedom are calculated like this:
Since is a one left tailed test the p value would be:
Answer:
(a) The value of is (z+1)(3-z).
(b) The next term in the sequence is -2.
Step-by-step explanation:
(a)
It is given that arithmetic sequence that starts with an initial index of 0.
The initial term is 3 and the common difference is -2.
We need to find the value of .
where, a is initial term and d is common difference.
The sum of an arithmetic sequence with initial index 0 is
where, a is initial term and d is common difference.
Substitute n=z, a=3 and d=-2 in the above formula.
Therefore the value of is (z+1)(3-z).
(b)
The given arithmetic sequence is
7, 4, 1, ...
We need to find the term in the sequence.
In the given arithmetic sequence the first term is
The common difference of the sequence is
The first term is 7 and common difference is -3.
Add common difference in last given term, i.e., 1, to find the next term of the sequence.
Therefore the next term in the sequence is -2.