A health psychologist knew that corporate executives in general have an average score of 2.55 with a standard deviation of 0.5 on a stress inventory and that the scores are normally distributed. In order to learn whether corporate executives who exercise regularly have different stress scores, the psychologist measured the stress of 30 exercising executives and found them to have a mean score of 2.76. a. Using the five steps of hypothesis testing, was the group of 30 exercising executives different from executives in general? (Use the .05 significance level.) Be sure to sketch the distributions involved. Be sure to fully state the five steps and show ALL calculations/work. b. Additionally, explain the logic of what you did to a person who understands hypothesis testing for studies in which the sample consists of a single individual but is unfamiliar with hypothesis testing involving a sample of more than one individual. (Be sure your explanation includes a discussion of the distribution of means--what it is, what it is made of, the concept of how it is created, how itʹs characteristics are created, its role in the overall hypothesis testing process.)

Out of the 55 cupcakes shared equally among four friends each friend will have 13 cupcakes.

A unitary method is a mathematical technique for finding the value of a single unit and then deriving the required units by multiplying with the single unit.

To find how many cupcakes each friend gets we can use the unitary method.

Given four friends made 55 cupcakes, therefore each friend can have (55/4) = 13.75 cupcakes, But the no. of cupcakes should be integers.

∴ Each friend can have 13 cupcakes.

learn more about unitary method here :

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Answer:

No

Step-by-step explanation:

Answer is -10 -4 your welcom

Answer:

Step-by-step explanation:

              Given                   Parallel lines                 Converse

a). ∠13 ≅ ∠17                           a║c                  Corresponding angles

b). ∠4 ≅ ∠9                             b║e                  Exterior alternate angles

c). m∠19 + m∠22 = 180°         a║b                  Same side exterior angles

d). ∠8 ≅ ∠19                                                     Vertical angles.

e). ∠10 ≅ ∠23                         b║c                   Alternate angles

f). m∠14 + m∠17 = 180°           a║c                   Same side Interior angles

Answer:

it should be 4:5 I hope that helps

Answer: 2/5 = 40%

Step-by-step explanation: 2/5 5 (divided) by 25 = 40%

Answer:

40%

2/5 are shaded and if you divide 5 by 2 and add a decimal, and change it into a percent, you get 40%

Answer:

64 or 81

Step-by-step explanation:

If it is 4^3 it would be 4*4*4=64

If it is 3^4 it would be 3*3*3*3=81

(I don't know which one your asking about so I put both)

For A to B, or segment AB, we have the points (1,1) and (4,3). (x1, y1) = (1,1) and (x2, y2) = (4,3);

x = 1 + t(4 - 1)

y = 1 + t(3 - 1)

A to B => (x = 1 + 3t, y = 1 + 2t)

We can apply a similar process for BC and AC. For BC we have (x1, y1) = (4,3) and (x2,y2) = (1,7);

x = 4 + t(1 - 4)

y = 3 + t(7 - 3)

B to C => (x = 4 - 3t, y = 3 + 4t)

(x1, y1) = (1, 1) and (x2, y2) = (1, 7);

x = 1 + t(1 - 1)

y = 1 + t(7 - 1)

A to C => (x = 1, y = 1 + 6t)

Here is your graph of the triangle. Desmos is a really great tool to use;

Answer:

184

Step-by-step explanation:

16+y/8 =25

16+y=25 X 8

16 + y =200

y=200-16

y = 184

Answer:

ray

Step-by-step explanation:

Answer:

70 cds in 2022

Step-by-step explanation:

each year number of dvds being sold is decreasing by 15. In 2010, it was 250. 5 years later, it was 175.

250-175=75.

75/5=15.

15x7=105.

175-105=70.

in 2010 it was 250 and 250+150=400.

in 2000, it was y=400-15x

Answer:

1.811

Step-by-step explanation:

To get the decimal Jenna should type into the computer you simply have to get the decimal value of each fraction and add them all together.

[tex]\frac{3}{4}=.75[/tex]

[tex]\frac{1}{8} =.125[/tex]

[tex]\frac{4}{5}=.8[/tex]

[tex]\frac{17}{125}=.136[/tex]

Then just add all the decimals together.

Answer: N= -1/4

Step-by-step explanation:

2 can go into 5 2 times which give you 2 wholes and you have 1 left over

Since you have 3/4 that extra one left would give you a whole because you can add it to the 3/4.

Answer:

2.38%

Step-by-step explanation:

Given that:

The population size involving numbers of treated and untreated seeds N  = 10

the number of seeds that are treated which are observed = 5

the number of seeds that sprouted 'n' = 4

Now, use the method of hypergeometric probability, we have the formula:

[tex]p(y) = \dfrac{(^r_y)(^{N-r}_{n-y})}{(^N_n)}[/tex]

∴

[tex]p(4) = \dfrac{(^5_4)(^{5}_{0})}{(^{10}_4)}[/tex]

[tex]p(4) = \dfrac{\dfrac{5!}{4!(5-4)!}* \dfrac{5!}{0!(5-0)!} }{\dfrac{10!}{4!(10-4)!} }[/tex]

[tex]p(4) = \dfrac{\dfrac{5!}{4!}* \dfrac{5!}{(5)!} }{\dfrac{10!}{4!(6)!} }[/tex]

[tex]p(4) = \dfrac{5*1 }{210}[/tex]

p(4) = 0.0238

p(4) = 2.38%

Answer:

undefined

Step-by-step explanation:

the slope is found by finding the change in y over the change in x. in this instance, you can do 9--5/-3--3... which is the same as 9+5/-3+3. the result is 14/0. Any fraction that has a denominator of zero is undefined, so the line would be straight up and down.

If this helped, don't forget to mark it the brainliest:) have a nice day

Answer:

seven hundred twenty-seven and five hundred twenty-six thousandths

Step-by-step explanation:

Hope this helps:)

Answer:

D and E

Step-by-step explanation:

y = (x + 1)²

If x = t + 1, then y = (t + 1 + 1)² = t² + 4t + 4.

If x = e²ᵗ + 1, then y = (e²ᵗ + 1 + 1)² = e⁴ᵗ + 4e²ᵗ + 4.

If x = cos t, then y = (cos t + 1)² = cos²t + 2 cos t + 1.

If x = t − 1, then y = (t − 1 + 1)² = t².

If x = t, then y = (t + 1)² = t² + 2t + 1.

Answer:

[tex]y = - \frac{2}{3} x + 7[/tex]

You get this equation when you plug in the values to find out the y intercept.

Answer:

80%

Step-by-step explanation:

lets say he gets x%, which is x/100.

then the equation is: 560/700=x/100

and to solve it, first multiply each side by 700: 560=7x

then divide both sides by 7, and you get: x=80

so the answer is 80%

Answer:

2x²-2x+5y doing the math reply if you need explanations

Given parameters:

Number of hours worked by Peter = 6.5hrs

His friend Joseph works [tex]1\frac{2}{3}[/tex] hours more than Peter;

Unknown:

Number of hours Joseph can work more than Peter = ?

This problem is pretty straight forward.

We see from the given parameters, it was explicitly stated that Joseph, the friend of Peter works [tex]1\frac{2}{3}[/tex] more hours .

Therefore, Peter's friend worked [tex]1\frac{2}{3}[/tex] more hours.

Answer:

14/24 and 3/24

Step-by-step explanation:

The LCM is 24, so divide the denominator by the LCM, and thats the number you multiply the numerator by

Answer:

170 rooms left to clean.

Step-by-step explanation:

If you are implying that there are 126 rooms for each floor of the 4 floors total.

Given the scenario that there are 126 rooms for each floor with 4 floors total with 334 of the rooms cleaned. The rooms left to clean are calculated by finding the difference between the total amount of rooms, and the rooms cleaned.

This relationship can be given by:

#total rooms - #cleaned rooms = #rooms left to clean.

The total rooms are found by multiplying the number of floors by the number of rooms on each floor: 126 × 4 = 504 rooms total.

Now we have all the variables needed, and can solve for the missing one:

(126×4) - (334) = #rooms left to clean

504 - 334 = 170 = #rooms left to clean

Answer:

(a) 0.0329

(b) 0.3502

(c) It is not unusual for a broiler to weigh more than 1710 grams.

Step-by-step explanation:

Using the TI-84 Plus calculator:

z-score is z = (x-μ)/σ,

where

x is the raw score

μ is the population mean

σ is the population standard deviation.

mean is 1535 grams and standard deviation is 169 grams.

(a) What proportion of broilers weigh between 1136 and 1243 grams?

For x = 1136 grams

z = (x-μ)/σ

= 1136 - 1535/169

= -2.36095

Determining the probability value from Z-Table:

= P(x = 1136)

= P(z =-2.36095)

= 0.0091142

For x = 1243 grams

z = (x-μ)/σ

= 1243 - 1535/169

= -1.72781

Determining the probability value from Z-Table:

P(x = 1243) = 0.042011

The proportion of broilers weigh between 1136 and 1243 grams is calculated as:

P(x = 1243) - P(x = 1136)

= 0.042011 - 0.0091142

= 0.0328968

≈ 0.0329

(b) What is the probability that a randomly selected broiler weighs more than 1600 grams?

For x = 1600 grams

z = (x-μ)/σ

= 1600 - 1535/169

= 0.38462

Determining the Probability value from Z-Table:

P(x<1600) = 0.64974

P(x>1600) = 1 - P(x<1600) = 0.35026

The probability that a randomly selected broiler weighs more than 1600 grams is 0.3502

(c) Is it unusual for a broiler to weigh more than 1710 grams?

For x = 1600 grams

z = (x - μ)/σ

= 1710 - 1535/169

= 1.0355

P-value from Z-Table:

P(x < 1710) = 0.84978

P(x > 1710) = 1 - P(x < 1710) = 0.15022

From the above calculation, it is not unusual for a broiler to weigh more than 1710 grams because 15.022% of the broilers weigh 1710 grams.

Answer:

I'm pretty sure its 56 inches squared  

Answer:

the answer for the number of stickers in all 4 boxes is 1200.

Step-by-step explanation:

there are 100 stickers in each roll and a box has 3 rolls. There are 12 rolls in total so you would do 100 X 12 which is 1200.

Answer:

$251.25

Step-by-step explanation:

50.25*5= 251.25