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Nutka1998 [239]
3 years ago
12

The difference between the highest and lowest score in a distribution

Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0

Answer:

Range

Step-by-step explanation:

In statistics, the range of a set of data is the difference between the largest and smallest value in the distribution. It is calculated by subtracting the lowest value from the highest value. The range shows how widely spread out a set of given data is.

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The manager of an automobile dealership is considering a new bonus plan designed to increase sales volume. Currently, the mean s
Tcecarenko [31]

Answer:

The most appropriate null hypothesis for this situation is

H_0: The mean sales volume is equal to 24.

the most appropriate alternative hypothesis for this situation is

H_a: The mean sales volume is greater than 24.

Step-by-step explanation:

<em>The null hypothesis H_0 is the fact that is established and consider as true fact. </em>

Since the established mean sales volume is 24 automobiles per month this should be considered as the null hypothesis.

So, the most appropriate null hypothesis for this situation is

H_0: The mean sales volume is equal to 24

<em>The alternative hypothesis is a fact that intends to reject or refute the null by collecting data that could contradict it. </em>

In this case, since the manager wants to conduct a research study to see whether the new bonus plan increases sales volume, he wants to see if the data collected after the new bonus plan can show that the new average is greater than the established one.  

So, the most appropriate alternative hypothesis for this situation is

H_a: The mean sales volume is greater than 24.

To try and prove that H_a shows enough evidence as to assure the new plan actually increases sales volume, he must fix a significance level \alpha, for example 0.1 or 0.05, which gives the probability that H_a is not wrong in case that it rejects H_0.

This confidence level defines an \alpha-score z_\alpha which is a point such that the area under the normal curve N(0;1) to the right of z_\alpha is less than \alpha.

<em>In this case we considered the right side because you want to see the new average is greater than the established one. </em>

<em> If the z-score obtained through the sample is greater than z_\alpha then you can say the new bonus actually increases sales. </em>

<em>If the z-score obtained through the sample is less than or equals to z_\alpha then you do not have enough evidence showing that the new bonus actually increases sales.</em>

6 0
2 years ago
the altitude of the hypotenuse of a right triangle divides the hypotenuse into segments of lengths 14 and 8. what is the length
lisov135 [29]

Answer:

B. 4\sqrt{7}

Step-by-step explanation:

The right triangle altitude theorem states that the altitude of a right angled triangles formed on the hypotenuse is equal to the geometric mean of the 2 line segments it creates.

This can be represented as:

h = \sqrt{(xy)}

Where,

h = the length of the altitude,

x and y are the lengths of the 2 segments formed.

Therefore, the length of the altitude = h = \sqrt{(14*8)}

h = \sqrt{112}

h = \sqrt{16}*\sqrt{7}

h = 4\sqrt{7}

3 0
3 years ago
Two fractions with a difference of 1/3 but with neither denominator equal to 3
Rudiy27

Answer:

3/9 and 6/9

Step-by-step explanation:

3/9 is simplified to 1/3

6/9 is simplified to 2/3

3 0
2 years ago
Read 2 more answers
What is the arc length?
Gwar [14]

Answer:

approximately 21, when rounded to nearest tenth.

Step-by-step explanation:

First, let's find the measure of angle BAD. Angles BAD and DAC add up to 180 degrees, so 180-57= 123 degrees. Now, let's find the circumference of the circle. The circumference is diameter * π, which is 19.6(π). Then, the ratio is 123/360, so multiply 19.6(π) by 123/360, and you get 21.0381988...... which simplifies to 21 (rounded to nearest tenth)

4 0
2 years ago
Can you help me with this one
exis [7]
5 is b and 1 is a
1 is A because just change the x value with the number in the table for x and see if y matches like
Y=-2x+6
Y=-2*1 + 6
4 =-2*1+6

And for 5
Day is x, y is depending on x and your going to add .4 to everything. But it’s growing .2 every day so it’s
Y=0.2x+0.4

I hope this helps you if I’m not right please tell me so if other people use those they know I’m wrong if I am. I don’t think so thou. If not please give me brainiest. Thank you!!
Have a nice night.
- Pam Pam
7 0
2 years ago
Read 2 more answers
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