I hate algebra so much, any help?
2 answers:
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Using the t-distribution, as we have the standard deviation for the sample, we have that the test statistic is given by:
At the null hypothesis, it is tested if there is no difference, that is:
At the alternative hypothesis, it is tested if there is a difference, that is:
The test statistic is given by:
The parameters are:
is the sample mean.
is the value tested at the null hypothesis.
- s is the standard deviation of the sample.
- n is the sample size.
In this problem, is tested at the null hypothesis, and the sample is: 20, -40, -40, 0, 20, - 60, -40, hence:
.
Hence, the test statistic is:
More can be learned about the t-distribution at brainly.com/question/16313918
Basically, we need to solve for x. That means that we will need to bring all the terms containing x over to one side and, in short, isolate x. To do this, we should first add 15 to both sides. Doing so gives us 
. Next, we subtract 6/5x from both sides, resulting in 
. Now, we multiply the reciprocal of -3/5 to 27. Doing so gives us x = -45. Therefore, the answer to your query is x = -45. Hope this helps and have a nice day!