Say this: "after x=2, g(x) exceeds f(x). Note that for x=3, g(3) > f(3). Check that out.
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:
$30.03
Step-by-step explanation:
To find what 9% of 33 is we need to divide 9% by 1
9% ÷ 1 = 2.97
33 - 2.97 = 30.03
Answer:
5x+y=3
Step-by-step explanation:
Slope = -5,
y intercept b=-2-(-5)×(1)=3
so, y=-5x+3
or, 5x+y=3
Answered by GAUTHMATH
First, find the percentage of the price after the sale occures
percent = 100% - 20%
percent = 80%
We need to find the price for the pairs with the percentage above
new price = percentage of new price/percentage of old price × old price
new price = 80%/100% × 55
new price = 4/5 × 55
new price = 44
The new price is $44
Now we estimate how much the tax
tax = 6% × 44
tax = 6/100 × 44
tax = 2.64
Calculate how much Josie will pay
pay = new price + tax
pay = 44 + 2.64
pay = 46.64
Josie will pay $46.64