Answer:
lol its a little difficult for me but the answer is B
Step-by-step explanation:
Using normal distribution

critical probability

critical value for the critical probability is CV = 1.96
standard error

margin of error = CV*SE = 1.96 * 0.5 = 0.98
95% confidence interval is between μ + 0.98 and <span>μ - 0.98, which is (19.62, 21.58)</span>
Answer:
(a) (-12/13, 5/13)
(b) (12/13, -5/13)
(c) (-12/13, -5/13)
(d) (12/13, 5/13)
Step-by-step explanation:
(a) The terminal point is effectively reflected across the y-axis, so the sign of the x-coordinate changes. (-12/13, 5/13)
__
(b) The terminal point is effectively reflected across the x-axis, so the sign of the y-coordinate changes. (12/13, -5/13)
__
(c) The terminal point is effectively reflected across the origin, so the signs of both coordinates change. (-12/13, -5/13)
__
(d) The terminal point is mapped to itself, so its coordinates remain unchanged. (12/13, 5/13)
Answer:
The p-value here is 0.0061, which is very small and we have evidence that the girls' mean is higher than the boys' mean.
Step-by-step explanation:
We suppose that the two samples are independent and normally distributed with equal variances. Let
be the mean number of ring tones for girls, and
the mean number of ring tones for boys.
We want to test
vs
(upper-tail alternative).
The test statistic is
T =
where
.
For this case,
,
,
,
,
.
and the observed value is
t =
.
We can compute the p-value as P(T > 2.6309) where T has a t distribution with 20 + 20 - 2 = 38 degrees of freedom, so, the p-value is 0.0061. Because the p-value is very small, we can reject the null hypothesis for instance, at the significance level of 0.05.