Answer:
There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are different
Step-by-step explanation:
Given that in previous tests, baseballs were dropped 24 feet onto a concrete surface, and they bounced an average of 92.82 inches
But new balls showed mean of 92.6 inches with s = 1.72 inches
Sample size = 23
Since sample size is less than 30 and population std deviation is not know we use t test
![H_0: \bar x = 92.82\\H_a: \bar x \neq 92.82](https://tex.z-dn.net/?f=H_0%3A%20%5Cbar%20x%20%3D%2092.82%5C%5CH_a%3A%20%5Cbar%20x%20%5Cneq%2092.82)
(Two tailed test at 5% significance level)
Mean difference = ![92.6-92.82=-1.22](https://tex.z-dn.net/?f=92.6-92.82%3D-1.22)
Std error of sample mean = s/sqrt n = ![\frac{1.72}{\sqrt{23} } \\=0.3586](https://tex.z-dn.net/?f=%5Cfrac%7B1.72%7D%7B%5Csqrt%7B23%7D%20%7D%20%5C%5C%3D0.3586)
Test statistic t = mean diff/std error = -3.402
df = 23-1 =22
p value = 0.002559
since p value <5% we reject H0
There is sufficient evidence to support the claim that the new balls have bounce heights with a mean different from 92.8292.82 inches, and it appears that the new baseballs are different
Answer: Angles are supplementary if and only if their sum is 180° is true.
Step-by-step explanation:
Test by making both parts negative: Angles are not supplementary if and only if their sum is not 180° This is also true.
Answer:
n÷2-6=14, n=20
Step-by-step explanation:
Well to find it, add 6 to 14 to get 20, then you multiply it by 2, just reverse the problem, and you'll get 20
The second choice is the right anwser
Answer:
16
Step-by-step explanation:
we have the height and hyp of the triangle so get the base then multiply by two
<u>1</u><u>7</u><u>^</u><u>2</u><u>-</u><u>1</u><u>5</u><u>^</u><u>2</u><u>=</u><u>8</u>
<u>8</u><u>x</u><u>2</u><u>=</u><u>1</u><u>6</u>