Dang...H0: μ = 115
HA: μ ≠ 115
Sample mean = 120
Standard deviation = 25
Standard error of mean = σ / √ n
Standard error of mean = 25 / √ 100
SE = 25/10
Standard error of mean 2.5
z = (xbar- μ ) / SE
z = (120-115) / 2.5
z = 2
p-value = 2 P( z > 2) = 2(0.0228) = 0.0456
the data are statistically significant at level = .05, but not at level = .01.
2)
H0: μ = 115
HA: μ ≠ 115
Sample mean = 119
Standard deviation = 25
Standard error of mean = σ / √ n
Standard error of mean = 25 / √ 100
SE = 25/10
Standard error of mean 2.5
z = (xbar- μ ) / SE
z = (119-115) / 2.5
z = 1.6
p-value = 2P( z > 1.6) = 2(0.0548) =0.1096
3)
a statement about the population the researcher suspects is true, and is trying to find evidence for.
4)
Sample mean = 80
Standard deviation = 20
Standard error of mean = σ / √ n
Standard error of mean = 20 / √ 100
SE = 20/10
The Standard error of mean 2
Confidence interval 80-(2)(1.645)
and 80+(2)(1.645)
(76.7, 83.3)
g(x) is a translation of 6 units downwards.
<h3>
How to identify the translation that generates g(x)?</h3>
Here we have the function:
y = f(x) = 3x + 1
Notice that the y-intercept of f(x) is:
f(0) = 3*0 + 1 = 1
The y-intercept of f(x) is y = 1.
Now, we know that the y-intercept of g(x) is -5. then:
g(x) = 3x - 5 = f(x) - 6
Meaning that g(x) is a translation of 6 units downwards.
If you want to learn more about translations:
brainly.com/question/24850937
#SPJ1
Answer:
oh sorry i dont know that im grade six sorry
Ok i will help you ... hold on
2 5/6 is the answer.
Hope this helps! >.<