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:
84
Step-by-step explanation:
Decimal: It’s easier to work with the numbers You can add, subtract, multiply and divide in your head (for the most part) instead of having to find common denominators and things like that.
Fraction: You can put repeating values in fraction form to represent them in a simpler way, as opposed to having to put the line over the repeating digits if it were in decimal form.
Power: Powers are just condensed forms of repeated multiplication, so they save space/time and you can use certain properties with some powers that allow you to multiply and divide them instantly.
Scientific notation: This is good when you’re dealing with numbers that have a lot of digits/place value. That can become confusing, so scientific notation is a way we can represent these numbers clearly and more condensed (takes less space/time).
