Answer:
Use a graphing calc or desmos to help guide you.
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
y inversely proportional to x
y=1k/x
4=k/4
k=4×4
k=16
to find y
y=16/4
y=4
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)
Answer:
$20.58
Step-by-step explanation:
28 x 0.30 = 8.4
28 - 8.4 = 19.6
19.6 x 0.05 = 0.98
19.6 + 0.98 = 20.58
Answer:
X = -5
Step-by-step explanation:
Subtract one from both sides
- 3 = 3x / 5
multiply by 5 to remove fraction
-15 = 3x
divide by 3
x = -5