Can gale only be accessed through your Schoology account
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<h2>Answer</h2>
Remember that the square root function is not defined, in the set of real numbers, for negatives values, so its radicand (the thing inside the square root) must be zero or bigger than zero. In other words, to find the domain of a square root function, you should set the thing inside the radical bigger or equal to zero and solve for x. Let's find the domain of each one of our functions:
For
The thing inside the square root is , so we are setting that bigger or equal than zero and solve for x to find the domain of the function:
domain
For
domain
For and
domain
As you can see, the only one that has the domain is the first choice.
<h2>Answer with explanation:</h2>
Let be the population mean.
By considering the given information , we have
Null hypothesis :
Alternative hypothesis :
Since alternative hypothesis is right-tailed , so the test is a right-tailed test.
Given : Sample size : n=16 , which is a small sample , so we use t-test.
Sample mean: ;
Standard deviation:
Test statistic for population mean:
i.e.
Using the standard normal distribution table of t , we have
Critical value for :
Since , the absolute value of t (2.333) is smaller than the critical value of t (2.602) , it means we do not have sufficient evidence to reject the null hypothesis.
Hence, we conclude that we do not have enough evidence to support the claim that answering questions while studying produce significantly higher exam scores.