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Finger [1]
3 years ago
14

Student researchers Haley, Jeff, and Nathan saw an article on the Internet claiming that the average vertical jump for teens was

15 inches. They wondered if the average vertical jump of students at their school differed from 15 inches, so they obtained a list of student names and selected a random sample of 20 students. After contacting these students several times, they finally convinced them to allow their vertical jumps to be measured. Here are the data (in inches): 11.0 11.5 12.5 26.5 15.0 12.5 22.0 15.0 13.5 12.0 23.0 19.0 15.5 21.0 12.5 23.0 20.0 8.5 25.5 20.5 A visual of the data distribution is below: Do these data provide convincing evidence at the α = 0.10 level that the average vertical jump of students at this school differs from 15 inches?
Mathematics
1 answer:
abruzzese [7]3 years ago
7 0

Answer:

There is no convincing evidence at α = 0.10 level that the average vertical jump of students at this school differs from 15 inches.

Step-by-step explanation:

We have to make a hypothesis test to prove the claim that the average vertical jump of students differs from 15 inches.

The null and alternative hypothesis are:

H_0: \mu=15\\\\H_a: \mu\neq15

The significance level is 0.10.

The sample mean is 17 and the sample standard deviation is 5.37.

The degrees of freedom are df=(20-1)=19.

The t-statistic is:

t_{19}=\frac{M-\mu}{s_M/\sqrt{n}} =\frac{17-15}{5.37/\sqrt{20}}=\frac{2}{5.37/4.47} =2/1.20=1.67

The two-sided P-value for t=1.67 is P=0.11132.

This P-value is bigger than the significance level, so the effect is not significant. The null hypothesis can not be rejected.

There is no convincing evidence at α = 0.10 level that the average vertical jump of students at this school differs from 15 inches.

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Top answer is -4 because when you divide by a negative your answer will come out negative and bottom answer is 6 because when you multiply two negatives it turns into a positive
3 0
3 years ago
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Evaluate the expressions
likoan [24]
<h3>Answer:</h3>

1. x + 20

2. 0

3. 2x - 8

4. 95x + 10

5. -9x - 6

6. 4x + y - 5

7. -x + 6y + 5

8. x + y - 15

9. x + 4y + 4

<h3>Step-by-step explanation:</h3>

• When working with variables and numbers, you have to put the variables first (in alphabetical order) and then the numbers.

• To evaluate an algebraic expression, we find the value of the expression when the variable is replaced by a given number.

• To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

• When we are not given a number for the variable in the expression, we have to group like-terms.

  1. <u>Example:</u> 5x + 6 + 3x - 2 - y
  • 1st: group 5x and 3x (add the terms together) = 8x
  • 2nd: group 6 and -2 (add the terms together) = 4
  • 3rd: Since -y has no like-terms, we can't group it = -y
  • Fourth, put the terms in order (variables = alphabetical order and then numbers) = 8x - y + 4

1. 4x + 12 - 3x + 8

  • 4x - 3x = 1x = x
  • 12 + 8 = 20
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2. -8x + 1 + 2x - 1 + 6x

  • -8x + 2x + 6x = -8x + 8x = 0
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3. 4x - 3 - 2x - 5

  • 4x - 2x = 2x
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4. 100x + 5 - 5x + 5

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7. 5y - x + 2y - y + 5

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8. -15 + 3y - 3x - 2y + 4x

  • 3y - 2y = 1y = y
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Hope I helped you, if I did can you please mark me the Brainliest?

4 0
3 years ago
200 = 16(6t − 3) solve this and show the work please
amm1812

Answer:

t = 2.58333

Step-by-step explanation:

use the distributive property:

200 = 16(6t - 3)

multiply the 16 to each value in the parenthesis:

200 = 96t - 48

now add 48 to both sides:

200 = 96t - 48

+48            + 48

248 = 96t

now divide each side by 96:

248/96 = 96t/96

t = 2.583333

decimal form: 2.5833333

mixed number: 2\frac{7}{12}

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2 years ago
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just olya [345]

Answer:

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Step-by-step explanation:

The quotient of 5 1/2 is greater than 5 because if you convert 5 1/2 to a decimal, it becomes 5.5.

5.5 is greater than 5, so the quotient of 5 1/2 is greater than 5.

3 0
3 years ago
if y is directly proportional to x when x = 4 and y = -2, write an equation to model the given relationship. What is x if y = -2
hoa [83]

Direct proportion equations have the following form:

y=kx

Where "k" is the Constant of proportionality.

In this case you know that "y" is directly proportional to "x" and when:

x=4;y=-2

Having these values, you can substitute them into the equation and solve for "k":

\begin{gathered} -2=k(4) \\ \frac{-2}{4}=k \\ k=-\frac{1}{2} \end{gathered}

So, substituting the value of "k" into the first equation shown above, you get that the equation that models the given relationship is:

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Now, to find the value of "x", when the value of "y" is -24, you must substitute this value into the equation that models the relationship and then solve for "x". Then, you get:

\begin{gathered} -24=-\frac{1}{2}x \\ (-24)(-2)=x \\ x=48 \end{gathered}

Therefore, the answers are:

\begin{gathered} y=-\frac{1}{2}x \\  \\ x=48 \end{gathered}

3 0
1 year ago
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