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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B: 12.65 feet
if vanessa is already 7.25 feet down, and emily is 5.4 feet further, you would do 7.25+5.4 which is 12.65
E importance of reconciling a bank<span> statement. ... Demonstrate the ability to </span>balance<span> a checkbook and ... She only </span>needs<span> $25, </span>but<span> ... Alexis </span>has<span> no idea how ... As a customer, </span>you should<span> be familiar with the fees at </span>your bank<span>. If </span>you<span> ... a safe place until </span>you get<span> home; then use it to record how</span>much you<span> removed from.</span>
If you subtract x from each side, it says Y = -x .
That tells you that the slope of the graph is -1, and the y-intercept is zero.
The graph is a straight line, passing through the origin.
It slopes DOWN from left to right, at an angle of 45 degrees.
