An exercise scientist wanted to test the effectiveness of a new program designed to increase the flexibility of senior citizens. They recruited participants and rated their flexibility according to a standard scale before starting the program. The participants all went through the program and had their flexibility rated again after a month. The scientist wants to test if the flexibility ratings are significantly higher after a month of the program. Assume that these participants can be considered a representative sample and that all other necessary conditions for inference were met. Which of these is the most appropriate test and alternative hypothesis?
a) Paired t test with H : Mafter before > 0
b) Paired t test with H.: Hafier-before +0
c) Two-sample t test with H: Mbefore > Hafter
d) Two sample t test with H.: wore Manter
e) Two sample t test with H: Meedore Aladder

Answers

Answer 1

Answer:

a) Paired t test with H : Mafter before > 0

Step-by-step explanation:

As we do not know anything about variances we will perform a paired t test.

We want to check the effectiveness of the  new program designed to increase the flexibility of senior citizens.

So we will perform a test where the mean after the program is greater than the mean before the program.

The best option is a.

Option  a defines both objectives paired t test and difference of mean after and mean before is greater than zero.

Other options are not correct as they miss out one of the both objectives.


Related Questions

help me on this. I’d appreciate it

Answers

Answer:

36

Step-by-step explanation:

eight times five is thirty six.

therefore the answer is thirty six! <3

Which expression shows the difference when subtracting these 2 polynomials?
(5x – 9x +11)-(-2x2+ 3x – 2)

a 7x2-12x+13

b 3x2+8x+9

Answers

The answer is 3x2+8x+9 I had the question before

Solve the following system using any method.

−5x+7y=10

−9x−4y=18

Answers

Answer:

-2,0

Step-by-step explanation:

See the steps below:)

Wat is the average number between 1,000, 2300,1000,2600

Answers

Answer:

here summation x = sum of all number

$150/1 sq ft x 20 sq ft​

Answers

Answer:

$3000

Step-by-step explanation:

$150 / 1 sq ft * 20 sq ft

$150 / 1 sq ft = this means $150 per square feet :

Given that there area 20 Square feets, then

Cost in $ will be :

$150 * 20 sq feet

= $3000

there is a gamecjwkjcs x,x dzvfbhjhv bzdhu vhaj vuy vrjahfv jhadfv ahjza v zjhv

Answers

Answer:

it is babylonia huming by chris

anyways play sour by Olivia Rodrigo

HELP!!!!

5^m x (5^-7)^m = 5^12

Answers

Answer:

not sure lol but, like it up

Step-by-step explanation:

The cost of cleaning up pollution in a stream is given by C = 37000 100−p, where C is the cost in dollars to clean p percent of the stream. Find and interpret C(20)

Answers

Answer:

$462.5

Step-by-step explanation:

Given the cost function expressed as;

C = 37000/100−p

To get C(20), we will substitute p = 20 into the expression and get C as shown;

C(20) = 37000/100-20

C(20) = 37000/80

C(20) = 462.5

Hence the cost needed to clean 20% of the stream is $462.5

Am I correct? K
Thanks for helping!
PLEASEEE CHECK ME WORK!

Answers

Yes, these are all correct! Good job!!! :))

Answer:

yes you are correct on all of them good job

what is the perimeter measured in centimeters of the rectangle pictured below do not include units in your answer

Answers

Answer:

183

Step-by-step explanation:

The perimeter of the rectangle measured in centimeters is 26 cm.

What is Perimeter?

Perimeter of a straight sided figures or objects is the total length of it's boundary.

Given a rectangle in the figure.

The length of the rectangle = 7 cm

Width of the rectangle = 6 cm

We have to find the perimeter of the rectangle.

Perimeter of the rectangle = 2(l + w), where l is the length and w is the width.

Perimeter = 2(7 + 6)

                = 2 × 13

                = 26 cm

Hence the perimeter is 26 cm.

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A particular type of mouse's weights are normally distributed, with a mean of 359 grams and a standard deviation of 33 grams. If you pick one mouse at random, find the following: (round all probabilities to four decimal places)
a) What is the probability that the mouse weighs less than 405 grams?
b) What is the probability that the mouse weighs more than 461 grams?
c) What is the probability that the mouse weighs between 406 and 461 grams?
d) Is it unlikely that a randomly chosen mouse would weigh less than 405 grams?
i. No, the likelihood exceeds 50%
ii. No, the likelihood exceeds 5%
iii. Yes, the likelihood is less than 50%
iv. Yes, the likelihood is less than 5%
e) What is the cutoff for the heaviest 10% of this type of mouse?

Answers

Answer:

Following are the responses to the given points:

Step-by-step explanation:

Given:

[tex]\mu = 359 \ \ \ \ \ \sigma = 33\\\\[/tex]

Using formula:

[tex]\to P(X = x) = P\left ( z < \frac{x-\mu }{\sigma } \right )[/tex]

For point a:

[tex]\to x= 406\\\\P(X < 406 ) = P\left ( z < \frac{406-359 }{33 } \right )\\\\[/tex]

                   [tex]= P\left ( z <1.4242\right )\\\\= 0.9222[/tex]

For point b:

[tex]\to x= 461\\\\P(X > 461 ) = P\left ( z > \frac{461 -359 }{33 } \right )\\\\[/tex]

                   [tex]= 1 - P\left ( z < 3.0909 \right )\\\\= 1 - 0.9990\\\\= 0.0001[/tex]

For point c:

[tex]\to x= 406\ \ and \ \ 461\\\\P(406 <X < 461 ) = P(X < 461) - P (X < 406)\\\\[/tex]

                              [tex]= 0.9990 - 0.9222\\\\= 0.0768\\\\[/tex]

For point d:

[tex]P(X < 406) = 0.9222 = 92.22 \%\ that \ is \ greater \ than\ 50\%[/tex]

Hence, the correct choice is "i".

For point e:

[tex]\to P(X > z) = 0.1\\\\\to 1 - P(X < z) = 0.1\\\\\to P(\frac{x-\mu }{\sigma }) = 0.9\\\\\to \frac{x-359}{33 } = 1.28\\\\ \to x = 401.24\\\\[/tex]

Estimate the sum of the decimals below by rounding to the nearest whole number.


6.802
6 1844
+ 6.318​

Answers

Answer:

19

Step-by-step explanation:

6.802 = 7

6.1844 = 6

6.318 = 6

7 + 6 + 6 = 19

I hope this helps!

5/6 + 4/6

a) 1/6
b) 9/12
c)1 3/6
d) 1 2/6​

Answers

Answer:

this is the answer Hope's it helps

The sum of three numbers is 910. One of the numbers, x, is 60% greater than the sum of the other two numbers. What is the value of x?

Answers

Answer:

I don't know I'm sorry I tried to found answers but I couldn't

Can someone help me??

Answers

A= 346.5cm^2, thats the answer

convert 1 2/5 x 2/3 into a mixed number

Answers

it simplifies to the proper fraction 14/15 so it cannot be a mix number

hope this helps !!

find the value of x.

please help! :)

Answers

Answer:

x=9

Step-by-step explanation:

You weigh a random sample of adult golden retrievers and get the following results: 55, 64, 58, 61, 69, 64, 59, 69, 72, and 65. Which answer gives a 98% confidence interval for the mean of the population

Answers

Answer:

The 98% confidence interval for the mean of the population is (59, 68.2).

Step-by-step explanation:

Before building the confidence interval, we need to find the sample mean and the sample standard deviation.

Sample mean:

[tex]\overline{x} = \frac{55+64+58+61+69+64+59+69+72+65}{10} = 63.6[/tex]

Sample standard deviation:

[tex]s = \sqrt{\frac{(55-63.6)^2+(64-63.6)^2+(58-63.6)^2+(61-63.6)^2+(69-63.6)^2+(64-63.6)^2+(59-63.6)^2+(69-63.6)^2+(72-63.6)^2+(65-63.6)^2}{10}} = 5.142[/tex]

Confidence interval:

We have the standard deviation for the sample, and thus, we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.821

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.821\frac{5.142}{\sqrt{10}} = 4.6[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 63.6 - 4.6 = 59

The upper end of the interval is the sample mean added to M. So it is 63.6 + 4.6 = 68.2.

The 98% confidence interval for the mean of the population is (59, 68.2).

Please answer what is 1 2 3 4 5 no links I forgot to do my homework

Answers

1. 40°

2. 50°

3. 45°

4. a. draw a line from angle P to downward but make it so it can cut angle OPQ from the half

b. 70°

c. angle TPQ = angle OPQ ÷2

angle TPQ = 140÷2= 70°

(-6, 10), (-6,1),(1, 10) What are the coordinates of the fourth vertex of the rectangle? Enter your answer by filling in the boxes.​

Answers

Answer:

(1,1)

Step-by-step explanation:

Happy To Help!

f(x)=10x-15 g(x)=2x-3 Find: (f/g)(x)

Answers

The function operation (f/g)(x) in the functions f(x) = 10x-15 and g(x) =2x-3 is 5.

What is the function operation (f/g)(x) in the given function?

A function is simply a relationship that maps one input to one output.

Given that;

f( x ) = 10x - 15g( x ) = 2x - 3( f / g )( x ) = ?

First, we replace the function designators in f/g with the actual functions.

(f / g )(x) = f(x) / g(x)

(f / g )(x) = ( 10x - 15 ) / ( 2x - 3 )

Now, factor out 5 from 10x and -15

(f / g )(x) = 5( 2x - 3 ) / ( 2x - 3 )

Cancel the common factor of 2x - 3

(f / g )(x) = 5( 1 ) / ( 1 )

(f / g )(x) = 5 / 1

(f / g )(x) = 5

Therefore, the function operation (f/g)(x) equals 5.

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what is the greatest common factor of 20a^2 12a^2 and 8a

Answers

Answer:

4a

Step-by-step explanation:

1. How much salt and baking powder together is needed to make 36 cup cakes?

Answers

Answer:

too much salt will not bring taste to the cup cakes

Step-by-step explanation:

ASAP pls wkkwmwkwnwnwwnwn

Answers

Answer: Her highest score is on turn two because she used a negative number over a positive and a positive is more than a negative.

Step-by-step explanation:

10>-16

Enter the coordinates of the solution of these two linear equations.

Answers

Answer:

(-4,2) are solution coordinates

This is the point in which these two lines intersect

SOMEONE PLEASE HELP ME ASAP ILL MARK BRAINLIEST!!!!

Answers

Answer:

90 answer plss brainless me

Write a variable expression for this amount.
fourteen times x
Type the correct answer.

Answers

Answer:

14x

Step-by-step explanation:

14x = 14 x (x) = 14(x)

Judy scored 30 points in the champion game. She scored three 3-point baskets and five 1-point baskets. How many 2-point baskets did she score?​

Answers

Answer:

eight two point baskets

Step-by-step explanation:

3 points = 9 points

1 points = 5 points

9+5= 14

30-14= 16

= 16/2

=8

A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. In 1990s, the average amount of time spent playing computer games was 10.2 hours per week. Is the amount of time greater than that for this year

Answers

Answer:

mu = the population true mean time spent by teenagers playing computer game this year

Step-by-step explanation:

Dear student, there is no much information given to answer this question but we will try as much as possible to explain  (what is the parameter) of the true mean.

In 1990s;

μ = 10.2 hours/week

From the information given,we understand that the parameter is linked to the population, and we're looking for the population average time spent playing computer games by teens in the current situation.

In this situation, the population parameter is the population true mean mu = the population true mean.

The measure of (angle) 6 is 120. The measure of (angle) 5 is 100. What is the measure of (angle) 4

Answers

Answer:

80

Step-by-step explanation:

4x20=80

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