If g (x)=4x+7 and h (x)=x-6, find g (h(x))
1 answer:
<h2>Answer:</h2>
</h2><h2 /><h3>2. Insert the argument of h(x) as if it was an x value on g(x).</h3>
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<em>This is a problem of combination of functions. Let's find the combination of f(x) and g(x).</em>
<h2 /><h3>1. Write the full argument of g(x).</h3><h2><em>Argument of h(x): </em><em>.</em>
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<em>Learn more about </em><em>combination of functions</em><em> here: </em>
<em>brainly.com/question/28263470 </em>
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<h2><u>Answer with explanation</u>:</h2>
Let be the population mean.
As per given , we have
Since the alternative hypothesis is right-tailed , so the test is a right-tailed test.
Also, population standard deviation is given , so we perform one-tailed z-test.
Test statistic :
, where = Population mean
= Population standard deviation
n= sample size
= Sample mean
For n= 18 , ,
,
, we have
P-value (for right tailed test): P(z>2.12) = 1-P(z≤ 2.12) [∵ P(Z>z)=1-P(Z≤z)]\
=1- 0.0340=0.9660
Decision : Since P-value(0.9660) > Significance level (0.01), it means we are failed to reject the null hypothesis.
[We reject null hypothesis if p-value is larger than the significance level . ]
Conclusion : We do not have sufficient evidence to show that the goal is not being met at α = .01 .