Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
Answer:
A and F
Step-by-step explanation:
Option A works as a transformating, and option a is the same as potion f
Slope intercept form : y = mx + b
4x - 5y < 1
-5y < -4x + 1
y > 4/5x - 1/5 <== slope intercept form
y - x > 3
y > x + 3 <== slope intercept form
1/-5, because when x increases by 1, y decreases by 5