The function g(x) is defined as shown.
2 answers:
Answer:
3
Step-by-step explanation:
This is a piece-wise function. The domain [x-values] is broken down into parts.
<em>To evaluate this type of functions, we see in </em><em>WHICH PART</em><em> of the </em><em>DOMAIN</em><em> does the questions ask to look for.</em>
The question asks for , the value of the function at
<em>In which of the 3 parts does fall into?</em>
The domain condition, , in the last part tells us that it is GREATER THAN OR EQUAL TO 3. So
falls in this part of the function, which is
We can simply substitute 3 in of that part and get our desired answer. So,
The value of
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Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:
At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:
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, the parameters are given as follows:
.
Hence, the test statistic is given by:
t = 2.23
<h3>What is the conclusion?</h3>Considering a <em>right-tailed test</em>, as we are testing if the mean is greater than a value, with a <em>significance level of 0.01 and 50 - 1 = 49 df</em>, the critical value is given by .
Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
More can be learned about the t-distribution at brainly.com/question/26454209