Answer:
Reject H0 since test statistic <-2.492
Step-by-step explanation:
Given that the American Water Works Association reports that the per capita water use in a single-family home is 74 gallons per day.
n = 25
x bar = 69
s= 8.3
std error = s/sqrt n = 
H0:
Ha: 
(Left tailed test at 5% significance level)
a) Reject H0 if t
-2.492
b) Test statistic = mean difference/std error
= 
=-3.01
df =24
c) Reject H0
Answer:
-32/27
Step-by-step explanation:
-12 - 20 -32 -32
----------- = ----------- = ----------
15 - (-12) 15 + 12 27
RS points east; R'S' points north, so there has been a rotation 90° CCW.
After that rotation, point S would be at (1, -1). It is actually at (1, 1), so has been shifted 2 units upward.
A sequence that does the desired mapping is
- c. rotation of 90° CCW about the origin
- b. translation 2 units up