<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 .
The option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76
<h3>What is probability?</h3>
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
P(Male or Type B) = (number of male + number of type B - number that are both)/total population
= 0.575
P(Male | Type B) = (number of male people inside the type B)/(number of Type B people)
= 38/(38 + 12)
= 0.76
0.575 < 0.76
P(Male or Type B) < P(Male | Type B)
Thus, the option third "P(Male or Type B) < P(Male | Type B)" is correct because 0.575 < 0.76
Learn more about the probability here:
brainly.com/question/11234923
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Answer:
Step-by-step explanation:
Answer:
A and B
Step-by-step explanation:
Parallel lines are lines which have the same slope. Perpendicular lines have negative reciprocal slopes.
For the options:
A. Both equations have 7/5 as the slope. They are parallel.
B. The slopes are 1 and -1. These are perpendicular.
C. The slopes are 9/2 and are parallel.
D. The slopes are 7/3 and -3/7. They are perpendicular.
The solution is A and B.
The best measurement to find the mass of a car is kilograms. The best measurement to find the length is Meters.
