1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sladkih [1.3K]
3 years ago
7

Imagine that you have entered the following distribution of scores into the program: 7, 9, 6, 3, 7, 8, 4, 10, 7, 9. The mean of

this distribution of scores would be changed the most if a score of ________ was removed from the data set.
Mathematics
1 answer:
ozzi3 years ago
6 0

Answer:

3

Step-by-step explanation:

Mean refers to the average value of the set of data.

It is the central value of the set of data.

Another word for Mean is average.

Given scores:7, 9, 6, 3, 7, 8, 4, 10, 7, 9

Solution:

Sum of observations = 7+ 9+ 6+ 3+ 7+ 8+ 4+ 10+ 7+ 9=70

Number of observations = 10

Mean = Sum of observations/Number of observations = \frac{70}{10}=7

If observation 3 is removed:

Sum of observations = 7+ 9+ 6+  7+ 8+ 4+ 10+ 7+ 9=67

Number of observations = 9

Mean =  Sum of observations/Number of observations = \frac{67}{9}=7.44

If observation 4 is removed:

Sum of observations = 7+ 9+ 6+ 3+ 7+ 8+ 10+ 7+ 9=66

Number of observations = 9

Mean = \frac{66}{9}=7.3

If observation 6 is removed:

Sum of observations = 7+ 9+ 3+ 7+ 8+ 4+ 10+ 7+ 9=64

Number of observations = 9

Mean = \frac{64}{9}=7.1

If observation 7 is removed:

Sum of observations = 9+ 6+ 3+  8+ 4+ 10+  9=49

Number of observations = 7

Mean = \frac{49}{7}=7

If observation 8 is removed:

Sum of observations = 7+ 9+ 6+ 3+ 7+  4+ 10+ 7+ 9=62

Number of observations = 9

Mean = \frac{62}{9}=6.9

If observation 9 is removed:

Sum of observations = 7+ 6+ 3+ 7+ 8+ 4+ 10+ 7=52

Number of observations = 8

Mean = \frac{52}{8}=6.5

If observation 10 is removed:

Sum of observations = 7+ 9+ 6+ 3+ 7+ 8+ 4+ 7+ 9=60

Number of observations = 9

Mean = \frac{60}{9}=6.7

Therefore, mean of this distribution of scores would be changed the most if a score 3 was removed from the data set.

You might be interested in
Unscramble the words
katrin2010 [14]

Number 17 is Infinity. I'm still working on the rest

3 0
3 years ago
Read 2 more answers
Four less than the product of one and a number X. <br><br><br> Please help me.
satela [25.4K]

Answer:

x−4

Step-by-step explanation:

3 0
3 years ago
The test statistic of zequals2.32 is obtained when testing the claim that pgreater than0.3. a. Identify the hypothesis test as b
Sonja [21]

Answer:

a) We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:  

Null hypothesis:p \leq 0.3  

Alternative hypothesis:p > 0.3  

Right tailed test

b) p_v =P(z>2.32)=0.0102  

c) So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

Step-by-step explanation:

Part a: Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion p is greatr than 0.3, so then the system of hypothesis are.:  

Null hypothesis:p \leq 0.3  

Alternative hypothesis:p > 0.3  

Right tailed test

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

For this case the statistic is given by z_{calc}= 2.32

Part b: Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>2.32)=0.0102  

Part c

So the p value obtained was a very low value and using the significance level given \alpha=0.1 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is higher than 0.3

6 0
3 years ago
What operation comes first?
lord [1]
Parentheses!! Don’t forget PEMDAS! (Parentheses, exponents, multiplication, division, addition, subtraction)
6 0
3 years ago
A pyramid is placed inside a prism the pyramid has the same base area b as the prism but half the height of the prism the height
Anettt [7]
15b is the answer to this question hope this was helpful
5 0
3 years ago
Read 2 more answers
Other questions:
  • Marcy played the piano for 45 minutes.She stopped playing at 4:15 P.M.At what time did she start playing the piano
    11·1 answer
  • What type of triangle has three angles whose measure are less than 90°?
    6·2 answers
  • What is the value of 89 3/4
    15·2 answers
  • Does this graph show a function?
    11·2 answers
  • Someone help me out please I can’t figure out this question
    9·2 answers
  • Identify whether each value of x is a discontinuity of the function by typing asymptote, hole, or neither. 5x/ x3 + 5x2 + 6x
    7·2 answers
  • Please help brainliest and 50 points for whoever answers all of these first
    14·1 answer
  • Solve for x<br> 64°<br> Х<br> 45°
    8·1 answer
  • You have a new 10-day workout routine. You want to do 10 sets of 10 sit-ups each
    6·2 answers
  • HELP FAST! See image below<br>FOR 10 POINTS!!!!​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!