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Marysya12 [62]
4 years ago
10

a company which designs sports shoes has made an improvement to their popular running shoe. they hope that athletes wearing the

new running shoe will be able to run faster over short distances. they will use a paired sample to determine whether the mean time to run 100 meters for sprinters wearing the new running shoe is less than the mean time to run the 100 meters for sprinters wearing the old running shoe. identify the variable for the proposed hypothesis test.
Mathematics
1 answer:
NeTakaya4 years ago
3 0

Answer:

<u>Independent variable = new running shoe</u>

<u>Dependent variable = mean time</u>

Step-by-step explanation:

Remember, that every statistical research method employs the use of variables (properties) of things which can change in value.

Therefore, matching the variable to proposed hypothesis test could be rendered as:

<em>"To determine whether there is a statistically significant impact of wearing the new running shoe on the mean time to run 100 meters by sprinters."</em>

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PYTHAGORAS<br> work out the side of b.<br> give your answers to one decimal place
Contact [7]

Answer:

12 cm

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Trigonometry</u>

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

  • a is a leg
  • b is another leg
  • c is the hypotenuse<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify variables</em>

<em>a</em> = 12 cm

<em>c</em> = 17 cm

<u>Step 2: Solve for </u><em><u>b</u></em>

  1. Substitute in variables [Pythagorean Theorem]:                                            12² + b² = 17²
  2. Evaluate exponents:                                                                                         144 + b² = 289
  3. [Subtraction Property of Equality] Subtract 144 on both sides:                     b² = 145
  4. [Equality Property] Square root both sides:                                                      b = √145
  5. [√Radical] Evaluate:                                                                                         b = 12.0416
  6. Round:                                                                                                               b ≈ 12.0
6 0
3 years ago
67.65 ÷ 13.7 = 4.94. A. Yes. B. No; 7.41. please show work
Bess [88]
Yeah, it equals 4.94 so the answer is A. yes

8 0
3 years ago
Darrin's calculator shows a number as 2.3476 E12.
Arturiano [62]
Standard form of 2.3476 E12 is 2347600000000
4 0
3 years ago
Read 2 more answers
Meth Barie's ice cream shop wants to decide whether to introduce a new ice cream flavor. They randomly selected 15 customers at
Marianna [84]

Answer:

Meth Barie's ice cream shop should not introduce the new ice cream flavor.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 4.01

Sample mean, \bar{x} = 4.4

Sample size, n = 15

Alpha, α = 0.1

Sample standard deviation, s = 1.6 minutes

First, we design the null and the alternate hypothesis

H_{0}: \mu \leq 4.01\\H_A: \mu > 4.01

We use one-tailed t test to perform this hypothesis.

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{4.4 - 4.0}{\frac{1.6}{\sqrt{15}} } = 0.968

Option B) 0.968

Rejection region:

Now, t_{critical} \text{ at 0.10 level of significance, 9 degree of freedom } = 1.345

So the rejection region would be a value of t-statistic greater than 1.345.

Option B) t > 1.345

Conclusion:

Since,                    

t_{stat} < t_{critical}

We fail to reject the null hypothesis and accept the null hypothesis. Meth Barie's ice cream shop should not introduce the new ice cream flavor.

8 0
3 years ago
PLZ HELP MEEEEEEEEEEEE
AlekseyPX

Answer:

6. table:c graph:f

Step-by-step explanation:

sorry i need to run but thats one

7 0
3 years ago
Read 2 more answers
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