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Tresset [83]
2 years ago
8

A particular personal trainer works primarily with track and field athletes. She believes that her clients run faster after goin

g through her program for six weeks. How might she test that claim? Multiple Choice A hypothesis test for p1 −p2 . A hypothesis test for μ1−μ2⋅ A matched-pairs hypothesis test for μD. We are unable to conduct a hypothesis test because the samples would not be independent.
Mathematics
1 answer:
masya89 [10]2 years ago
7 0

Answer:

A matched-pairs hypothesis test for μD

Step-by-step explanation:

The trainer wants to compare each athlete's time before the program to the time after the program.  Since we're comparing times for the same athlete, the data is paired, so we should use a matched-pairs test.

You might be interested in
A grocer bought 70 cans of corn. She sold 10 cans that day and 15 cans the next day. How many did she have left?
e-lub [12.9K]

answer

45

step-by-step explanation

total = day1 + day2 + remaining

total = 70

day1 = 10

day2 = 15

plug in values

70 = 10 + 15 + remaining

remaining = 70 - 10 - 15

remaining = 45 cans

3 0
2 years ago
A population has a standard deviation of 80. A random sample of 400 items from this population is selected. The sample mean is d
Helga [31]

Answer:

ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X represent the sample mean for the sample  

\mu population mean (variable of interest)

\sigma =80 represent the population standard deviation

n=400 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

Since the Confidence is 0.94 or 94%, the value of \alpha=0.06 and \alpha/2 =0.03, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.03,0,1)".And we see that z_{\alpha/2}=1.8808

The margin of error is given by:

ME= 1.8808 * \frac{80}{\sqrt{400}} =7.5232

4 0
2 years ago
Please solve this equation
Darya [45]

Answer: if you simplify the equation, your answer should be 16

Step-by-step explanation: Simplify  2+22+22+2  to  444.

8÷2×48\div 2\times 48÷2×4

2

Simplify  8÷28\div 28÷2  to  444.

4×44\times 44×4

3

Simplify.

16

4 0
2 years ago
Read 2 more answers
The sum of two numbers is −138. Their difference is −2. Find the numbers.
Natasha_Volkova [10]

Answer:

The Answer is: The first number is -70 and the second number is -68.

Step-by-step explanation:

Let f = first number and s = second number.

The sum of both is -138:

f + s = -138

The difference is -2

f - s = -2

Solve for f:

f = -2 + s

f = s - 2

Substitute:

s - 2 + s = -138

2s = -136

s = -68, the second number

Solve for f:

f = s - 2

f = -68 - 2 = -70, the first number

Proof:

f + s = -138

-68 + (-70) = -138

-138 = -138

Then:

f - s = -2

-70 - (-68) = -2

-70 + 68 = -2

-2 = -2

Hope this helps! Have an Awesome Day!! :-)

5 0
2 years ago
Please help<br><br>numbers 42, 43, 44
Aleks [24]
<h3>Answer:</h3>

42.  29°

43.  3x³ +2x² -3x +10

44.  20a² +68a

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

42.  The right-angle corner tells you the two marked angles are complementary — they sum to 90°.

  (-3x +20)° + (-2x +55)° = 90°

  -5x +75 = 90 . . . . . . . . . . collect terms, divide by °

  -5x = 15 . . . . . . . . . . . . . . . subtract 75

  x = -3 . . . . . divide by the coefficient of x

The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...

  (-3·(-3) +20)° = 29° = m∠BDC

___

43.  The distributive property is useful for multiplying polynomials.

  (x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)

  = 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses

  = 3x³ +2x² -3x +10

___

44.  Area is the product of length and width, so this becomes a problem in multiplying polynomials.

  area = (5a +17)(4a) = 20a² +68a . . . . area in square feet

3 0
2 years ago
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