F(x) = x + 6 x=-2, 0, and 5
1 answer:
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Answer:
The correct option is c.
Step-by-step explanation:
The given equation is
The given inequality is
A point will contained in solution set if the above inequality satisfied by that point.
Check the point (0,-3),
This statement is false, therefore option a is incorrect.
Check the point (-3,0),
This statement is false, therefore option b is incorrect.
Check the point (3,3),
This statement is true, therefore option c is correct.
Check the point (-3,-3),
This statement is false, therefore option d is incorrect.
<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 .