X = the number of laps Joe has ran.
x + x + x + 6 = 222
3x = 216
x = 72
Jimmy ran 72 laps.
Joe ran 72 laps.
Sally ran 78 laps.
<u>Given</u>:
Let the random variable x is normally distributed with mean 
and 
We need to determine the probability of 
<u>Probability of </u><u>:</u>
The formula to determine the value of is given by
Thus, we have;
Simplifying, we get;
Using the normal distribution table, the value of -2 is given by 0.0228
Thus, the value of is 0.0228
Answer:
Option B - False
Step-by-step explanation:
Critical value is a point beyond which we normally reject the null hypothesis. Whereas, P-value is defined as the probability to the right of respective statistic which could either be Z, T or chi. Now, the benefit of using p-value is that it calculates a probability estimate which we will be able to test at any level of significance by comparing the probability directly with the significance level.
For example, let's assume that the Z-value for a particular experiment is 1.67, which will be greater than the critical value at 5% which will be 1.64. Thus, if we want to check for a different significance level of 1%, we will need to calculate a new critical value.
Whereas, if we calculate the p-value for say 1.67, it will give a value of about 0.047. This p-value can be used to reject the hypothesis at 5% significance level since 0.047 < 0.05. But with a significance level of 1%, the hypothesis can be accepted since 0.047 > 0.01.
Thus, it's clear critical values are different from P-values and they can't be used interchangeably.
g(f(x)) means plug in f(x) for every "x" in g(x).
g(f(x))=(x+4)^2-1=x^2+8x+16-1=x^2+8x+15
answer: x^2+8x+15
