Answer:
(-2, 0)
Step-by-step explanation:
Answer:
73
292
173
Step-by-step explanation:
x = first number
4x = second number
100 + x = third number
x + 4x + 100 + x = 538
6x + 100 = 538
6x + 100 - 100 = 538 - 100
6x = 438
6x/6 = 438/6
x = 73
Check:
73 + 4(73) + 100 + 73 = 538
73 + 292 + 173 = 538
538 = 538
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:
O A) convenience sample
Step-by-step explanation:
O A) convenience sample
A prism is rectangular shaped,. a pyramid is triangular shaped.
The ratio would be 1 to 3
The formula for the pyramid is V = 1/3Bh