Using the z-distribution, the p-value would be given as follows:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>
At the null hypothesis we test if the means are equal, hence:
At the alternative hypothesis, it is tested if they are different, hence:
<h3>What are the mean and the standard error for the distribution of differences?</h3>
For each sample, they are given as follows:
Hence, for the distribution of differences, they are given by:
- .
<h3>What is the test statistic?</h3>
The test statistic is given by:
In which is the value tested at the null hypothesis.
Hence:
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
Hence option B is correct.
More can be learned about the z-distribution at brainly.com/question/13873630
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Answer:
a = 14
Step-by-step explanation:
Because angles x and w are equal, sides 14 and a are also equal.
We can immediately conclude that a = 14.
Answer: Option C
Step-by-step explanation:
Given the quadratic equation , substitute :
In this case, to find the solutions of the given quadratic equation, you must factor out the variable "x". Then:
Therefore, you get that the solutions of this equation are the following:
Then, the answer is:
This matches with the option C.
Answer:
Step-by-step explanation:
Initial value is $400
Value after 9 years is zero
Change in value over 9 years is $400
<u>Rate of change is:</u>
Answer:
The final answer is she should save and purchase the set next month because she has only 450 this month.
Step-by-step explanation:
2250 - 800 -75 - 225 - 200 - 200 - 300 = 450
450 > 500