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The sample space is any space that gives a positive outcome to all samples. They have to have an equal outcome
Answer:
The number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4
Step-by-step explanation:
From the question, the mean absolute deviation (MAD) of the sixth graders = 1.2 and that of the seventh graders = 1.7
The variability in the heights of the sixth graders = 1.2
The variability in the heights of the seventh graders = 1.7
To calculate how many times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders, we will divide the variability of the seventh graders by the variability of the sixth graders
That is, 1.7/ 1.2 = 1.4167 ≅ 1.4
Hence, the number of times the variability in the heights of the sixth graders is the variability in the heights of the seventh graders is approximately 1.4
Solution :
Given :
n = 15
s = 0.5902
The hypothesis :
This is a 2 tailed test.
The significance level is
The test statistic :
= -0.72
The p value : The p value for Z = -0.72 is 0.4716
The critical value : the critical value at α = 0.05 is +1.96 to -1.96
The decision rule :
If or if , then reject .
Also if p value is less than α, then reject .
The decision :
Since the Z falls in between +1.96 and -1.96, we fail to reject the . Also since p value is greater than α, we fail to reject .
The conclusion :
There is not sufficient evidence at the 95% significance level to warrant rejection of the claim that the pills come from a population in which the amount of the atorvastatin is equal to 25 mg.
Now calculating the mean and the standard deviation :
Standard deviation =
Variance =
Where, SS =
X Mean
24.1 24.89 0.62
24.4 24.89 0.24
24.3 24.89 0.35
24.9 24.89 0
24.1 24.89 0.62
24.2 24.89 1.72
24.1 24.89 0.04
26.2 24.89 0.04
25.1 24.89 0.24
25 24.89 0.01
24.7 24.89 0.04
25.1 24.89 0.04
25.3 24.89 0.17
25.5 24.89 0.37
25.5 24.89 0.37
n 15
Sum 373.3
Average 24.89
SS 4.8775
Variance = 0.348392857
Standard deviation 0.5902
Answer:
<4
Step-by-step explanation:
Vertical angles are formed by the same lines and share a vertex but are opposite.
< HEF also called <6 is a vertical angle to < 4
So, we have the two equations $4x+$360, and $10x+$6x. x represents how much members pay each day. The total number of visits when the cost for a member and nonmember is the same means we will have to set both equations equal to one another.
<span>$4x+$360=$10x+$6x </span>
<span>Combine like terms. </span>
<span>$4x+$360=$16x </span>
<span>Subtract $4x on both sides to balance out the equation. </span>
<span>$12x=$360 </span>
<span>Divide by $12.00 on each side. </span>
<span>x=30 visits </span>
<span>To check your work, plug in what x equals or 30 in the original equation. If you come up with a true statement, then you know your answer has to be correct. </span>
<span>4x+360=16x </span>
<span>4(30)+360=16(30) </span>
<span>120+360=480 </span>
<span>480=480 </span>
<span>Because this is a true statement, you can be certain that the total number of visits when the cost of a member and a nonmember will be the same is 30 visits. Hope I helped! Brainliest too please.</span>