Using the z-distribution, the p-value would be of:
b) 0.0086.
<h3>What are the hypothesis tested?</h3>At the null hypothesis we test if the means are equal, equivalent to a subtraction of 0, hence:
At the alternative hypothesis, we test if they are different, hence:
For each sample, they are given as follows:
.
.
For the distribution of differences, it is given by:
.
The test statistic is given by:
In which is the value tested at the null hypothesis.
Hence:
z = -2/0.76
z = -2.63.
Using a z-distribution calculator, for a two-tailed test, with z = -2.63, the p-value is of 0.0086.
More can be learned about the z-distribution at brainly.com/question/16313918
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