Answer:
0.00487
Step-by-step explanation:
You move the decimal place back 3 places because it’s 10 to the -3
At 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
<h3>How to state hypothesis conclusion?</h3>
We are given;
Sample size; n = 78
population standard deviation σ = 37
Sample Mean; x' = 280
Population mean; μ = 287
The school administrator declares that mean score is more (bigger than) 280. Thus, the hypotheses is stated as;
Null hypothesis; H₀: μ > 280
Alternative hypothesis; Hₐ: μ < 280
This is a one tail test with significance level of α = 0.13
From online tables, the critical value at α = 0.13 is z(c) = -1.13
b) Formula for the test statistic is;
z = (x- μ)/(σ/√n)
z = ((280 - 287) *√78 )/37
z = -1.67
c) From online p-value from z-score calculator, we have;
P[ z > 280 ] = 0.048
d) The value for z = -1.67 is smaller than the critical value mentioned in problem statement z(c) = - 1.13 , the z(s) is in the rejection zone. Therefore we reject H₀
e) We conclude that at 13% significance level, there isn't enough evidence to prove the administrators to claim that the mean score for the state's eighth graders on this exam is more than 280.
Read more about Hypothesis Conclusion at; brainly.com/question/15980493
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Answer:
80
Step-by-step explanation:
Gavyn's share is 20 sweets representing 2 parts of the ratio.
Divide 20 by 2 to find the value of one part of the ratio
= 10 sweets ← 1 part of the ratio
3 parts = 3 × 10 = 30
Total number of sweets = 20 + 30 + 30 = 80
$18 + $.9(5%) = $18.9
the thing with percentage is just moving decimals 100% = 1, 45% = .45, 10% = .1 and so on
so here you can solve it by taking 18 and multiplying it by .05(which is 5% if you understand my examples above)
.
or orally like i did, (note 10% is moving the decimal to the left one time so 10% of 18 is 1.8 and half of 1.8 is .9 which is 5% since the half of 10% is 5% lol )
Angle KJL and Angle IJL are supplementary angles
Supplementary angles are angles that add up to 180 degrees
