Answer:
a) A Type II error happens when the null hypothesis failed to be rejected even when the alternative hypothesis is true (<em>false negative</em>).
In this case the ad was effective (true alternative hypothesis), but the results of the sample had no enough statistical evidence to prove that the ad really had an effect increasing sales (reject the null hypothesis).
b) No. This type of errors are not evident, as the study is conduct to infere characteristics of the population. As it is an inference, there is not 100% accurate, and there is a probability of making this type of errors.
The only thing it can be done is limiting the probability of making this errors (type I and type II), affecting the power of the test (to affect Type II error) and the significance level (to affect Type I error). Obviously there is a trade-off, and minimizing one type of error increases the probability of making the other type.
c) The business consequences are that an effective ad campaign is not recognize and a business opportunity is lost. The ad would have been effective, but the study wasn't capable of demostrating its efectiveness.
d) One explanation could be a sample size not big enough. Increasing the sample size increases the power of the test, which decrease the probability of making a Type II error.
Other explanation could be a significance level that was too conservative (very low significance level). That means that the sample result was not considered a unlikely result becuase the threshold for unlikely results was set to a very low probability. This minimizes the probability of making a Type I error, but makes harder for true alternative hypothesis to be demonstrated.
Step-by-step explanation:
Answer:
1)
a)
We are given one leg of triangle as 6 km and the other leg is of length of 8 km.
Hence, the hypotenuse is calculated using Pythagorean theorem as:

Hence, the hypotenuse of the triangle or the missing side x=10 cm.
Now we calculate trignometric ratio with respect to angle a and b as:
b)
We know that:
Sine of an angle is ratio of perpendicular to hypotenuse.
Cosine of an angle is ratio of base and hypotenuse.
And tangent of an angle is ratio of perpendicular and base.
<u>Angle a:</u>
We have perpendicular=8
Base=6
Hypotenuse=10
Hence,
sin a=8/10
cos a=6/10
tan a=8/6
<u>Angle b:</u>
Perpendicular =6
Base=8
Hypotenuse=10
Hence,
sin b=6/10
cos b=8/10
tan b=6/8
Answer:
24.8 mph
Step-by-step explanation:
as we know if one sailed north and another east, the angle with respect to the port will be 90 degrees
This means that the distance of each ship to the pier can be the legs of a rectangular triangle
The distance of a ship from the other would be represented by the hypotenuse
h: Hipotenuse
c1: leg 1
c2: leg 2
By Pythagoras we know that the hypotenuse is equal to
h = √(c1^2 + c^2)
if we replace with the values we have left
h = √(18^2 + 17^2)
h = √(324 + 289)
h = √613
h = 24.758
we round a decimal place
h = 24.8
D because 5.50 is x and your y so boom D
Answer:

x = 12
Step-by-step explanation:
The slope-intercept form formula,
, can be used to write an equation for the line.
Where,
m = slope = 
b = y-intercept, which is the point at which the line intercepts the y-axis. At this point, x = 0.
Let's find the slope (m) using the coordinates of the two points given, (0, 30), (3, 60).

Let,





y-intercept of the line, b = 30
Equation for the line would be:

Using the equation, find x when y = 150.
Simply substitute the value for y in the equation to find x.

Subtract 30 from both sides


Divide both sides by 10


x = 12