Answer: 25 and 22
Step-by-step explanation:
Since one number is 3 bigger than the other, we can call them x, and x-3.
Then we know that the sum of 3 times x and 2 times (x-3) is equal to 19, so we can make the equation
3x+2(x-3)=19
Simplifying would get you
3x+2x-6=19
adding the x's and adding six to both sides of the equations gets you
5x = 25
divide by 5 and
x=5
Put those numbers back into your previous labels for them, x and x-3, and you get 5 and 2
Hope this helps
Answer:
a. We reject the null hypothesis at the significance level of 0.05
b. The p-value is zero for practical applications
c. (-0.0225, -0.0375)
Step-by-step explanation:
Let the bottles from machine 1 be the first population and the bottles from machine 2 be the second population.
Then we have 
, 
, 
and 
, 
, 
. The pooled estimate is given by
a. We want to test 
vs 
(two-tailed alternative).
The test statistic is 
and the observed value is 
. T has a Student's t distribution with 20 + 25 - 2 = 43 df.
The rejection region is given by RR = {t | t < -2.0167 or t > 2.0167} where -2.0167 and 2.0167 are the 2.5th and 97.5th quantiles of the Student's t distribution with 43 df respectively. Because the observed value 
falls inside RR, we reject the null hypothesis at the significance level of 0.05
b. The p-value for this test is given by 
0 (4.359564e-10) because we have a two-tailed alternative. Here T has a t distribution with 43 df.
c. The 95% confidence interval for the true mean difference is given by (if the samples are independent)
, i.e.,
where 
is the 2.5th quantile of the t distribution with (25+20-2) = 43 degrees of freedom. So
, i.e.,
(-0.0225, -0.0375)
A=v1-v0/t
a*t=v1-v0
(a*t)+v0=v1
Answer:
393 more minnows than goldfish
Step-by-step explanation:
add 458 rosy red minnows and 212 white minnows,you get 670.Subtract the 277 goldfish from the 670 minnows and you get 393
Answer:
0.5, 80%
Step-by-step explanation:
