There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
<h3>What is a statistical hypothesis?</h3>
A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:
The null hypothesis:

The alternative hypothesis:

From the population deviation, the Z test for the true mean can be computed as:


Z = 0.756
Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:
P(z > 0.756)
P = 0.225
Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.
Learn more about hypothesis testing here:
brainly.com/question/16251072
#SPJ1
Answer: 7/50
14%
1/30
Step-by-step explanation:0.14 to fraction =0.14/100=14/100=7/50
0.14 to %= 0.14 ×100=14%
Total number of balls=6
Blue balls=2
Golden balls=2
Green balls=2
Probability of picking the first ball=1/6
Probability of picking the second ball= 1/5
P(winning wit 2 golden balls)=1/6×1/5=1/30
51 + 3x+5 = 107
Simplify the left side:
3x + 56 = 107
Subtract 56 from both sides:
3x = 51
Divide both sides by 3:
x = 51 / 3
x = 17
Angle F and the outside angle of 107, need to equal 180 degrees.
F - 180 - 107 = 73 degrees.
To convert a decimal to a percent simply just move the decimal point two places to the right and add the percent sign;
0.007 = 0.7%
Hope that helps:D