Answer:
P-value is lesser in the case when n = 500.
Step-by-step explanation:
The formula for z-test statistic can be written as

here, μ = mean
σ= standard deviation, n= sample size, x= variable.
From the relation we can clearly observe that n is directly proportional to test statistic. Thus, as the value of n increases the corresponding test statistic value also increases.
We can also observe that as the test statistic's numerical value increases it is more likely to go into rejection region or in other words its P-value decreases.
Now, for first case when our n is 50 we will have a relatively low chance of accurately representing the population compared to the case when n= 500. Therefore, the P-value will be lesser in the case when n = 500.
Answer:
The slope is 2
Step-by-step explanation:
The formula to find slope is y2-y1/x2-x1
Plug in the numbers and you get: 5-3/1-2
The result of that is -2/-1 which can be simplified to 2
Answer:
8
Step-by-step explanation:
as side of square are equal
3x=5x-16
3x+16=5x
16=5x-3x
16=2x
16÷2=x
8=x
therefore value of x is 8
<span>The question aks us to determine which statement is always true about the angles in the figure. If angle A and B form a right angle, then C must be also a right angle, which is not correct. Also if A and C form a right angle, then angle B must be a right angle. So answers A and C are false. Also thet we know that the sum of the interior angles of the triangle is 180 degrees. A + B + C = 180 deg. ( or a straight angle ). Answer: B. Angle A, angle B, and angle C, form a straight angle. </span>
Answer:
8 i think hope this helps
Step-by-step explanation: