See the picture and do the given questions
1 answer:
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Answer:
a: z = -1.936
b: 0.0265
d: z < -1.645
Reject H0 if z < -1.645
Step-by-step explanation:
We are given:
H0: µ = 20
HA: µ < 20
n = 60, sample mean: 19.6, σ = 1.6
Since the alternate hypothesis has a < sign in it, it is a left tailed test. The < or > sign in the alternate hypothesis points towards the rejection region.
For a: We need to calculate the test statistic for our situation. This is done with a z-score formula for samples.
For b: we need to use the z-score table to look up the p-value for the score we calculate in part a. The p-value is 0.0265. This means that there is only about a 2.65% chance that the sample values were a result of random chance.
For d: Since the significance level is 0.05, and this is a one tailed test, we have a critical value of z < - 1.645. This means that if the z-score we calculate in part a is less than -1.645, we will reject the null hypothesis
See attached photo for all the calculations!
Answer:
(a) x =
(b) x =
Step-by-step explanation:
A. sum of angles in a polygon = (n - 2) 180
The polygon given is an irregular pentagon, where n = 5
So that;
sum of angles in a pentagon = (5 - 2) 180
= 3 x 180
=
Thus,
x + 90 + 76 + 110 + 136 =
x + 412 =
x = - 412
x =
B. The polygon given is an irregular pentagon, where n = 5.
Let the supplementary angle with angle 38 be represented by y,
y + 38 = 180
y = 180 - 38
=
y =
Let the supplementary angle with x be represented by z, so that;
z + 72 + 120 + 100 + 142 =
z + 434 =
z = - 434
=
z =
But, x + z =
Then;
x + =
x = -
=
x =
Find a line going through the point
(0, -7/5) and perpendicular to the equation 3x - 2y = 6.
3x - 2y = 6
-2y = -3x + 6
y = (3/2)x - 3
The slope of the equation we seek must be the negative reciprocal of (3/2), which is -2/3.
So, m = -2/3
Use the point-slope formula. See the picture.
(0, -7/5) and perpendicular to the equation 3x - 2y = 6.
3x - 2y = 6
-2y = -3x + 6
y = (3/2)x - 3
The slope of the equation we seek must be the negative reciprocal of (3/2), which is -2/3.
So, m = -2/3
Use the point-slope formula. See the picture.