A sample of 10 men's GPA in college has sample mean 2.9, and a sample of 10 women's GPA has sample mean 3.1. We also know the GPAs of men and women have the same standard deviation 0.2. Calculate the p value.

Answers

Answer 1

Answer:

p-value = 0.02535

Step-by-step explanation:

From the information given:

For men:

The sample size n₁ = 10

The standard deviation s₁ = 0.2

The sample mean [tex]\bar x _1 =[/tex] 2.9

For women:

The sample size n₂ = 10

The standard deviation s₂ = 0.2

The sample mean [tex]\bar x _2=[/tex] 3.1

Using the pooled variance;

[tex]S_i = \sqrt{\dfrac{s^2_1}{n_1} +\dfrac{s^2_2}{n_2} }[/tex]

[tex]= \sqrt{\dfrac{0.2^2}{10} +\dfrac{0.2^2}{10} }[/tex]

[tex]= \sqrt{0.004+0.004 }[/tex]

[tex]= \sqrt{0.008 }[/tex]

= 0.08944

The z-test statistics is computed as:

[tex]z = \dfrac{\barf x_1 - \bar x_2}{S_i}[/tex]

[tex]z = \dfrac{2.9- 3.1}{0.08944}[/tex]

z = - 2.236

The p-value =  2 × P(Z < -2.236)

From the z table;

p-value = 2 × (0.012675)

p-value = 0.02535


Related Questions

factorise this equation 12ax+8bx​

Answers

Answer:

4x(3a+2b)

Step-by-step explanation:

Answer:

4x(3a+2b)

Step-by-step explanation:

Given: 12x+8bx

Factor out x: x(12a+8b)

Factor out 4: 4x(3a+2b)

50!!! Points Paul needs 27 plants to fill his garden and has $99 to
spend. Lilies cost $5 each and tulips cost $2 each. Which
system represents the number of lilies (1) and tulips (t)
Paul can buy?

Answers

Answer:

[tex]\boxed{\boxed{\pink{\bf \leadsto Option \ A \ is \ correct .}}}[/tex]

Step-by-step explanation:

Given that , Paul needs 27 plants to fill his garden and has $99 to spend. Lilies cost $5 each and tulips cost $2 each.

Tulips are represented by t .Lilies are represented by l .

Now we need to find which set of linear equations represent the above situation. So ,

Sum of number of lilies and tulips is 27 .

[tex]\implies \bf n( Tulips) + n(Lilies ) = 27 \\\\\bf\implies \boxed{ \bf l + t = 27 }[/tex]

Now , cost of each lily is $5 and tulip is $2 . And he has $99 in total . So ,

[tex]\bf\implies n_{tulips} \times cost_{tulip} + n_{lilies} \times cost_{lilies} = Money \ that \ Paul \ has. \\\\\bf \implies t\times \$2 + l \times \$5 = \$ 99 \\\\\implies \boxed{\bf 2t + 5l =\$ 99 }[/tex]

Hence we can see that our ans matches with option (a) which is ,

[tex]\red{\bf Option \ A}\begin{cases} \bf l + t = 27 \\\\\bf 2t + 5l = 99 \end{cases}[/tex]

Hence option (A) is correct .

The scatter plot shows the heights x (in inches) and the weights y (in pounds) of 10 people. Find the weight of the person who is 70 inches
tall. Then find the height of the person who weighs 125 pounds.

Answers

Answer:

70 inches weighs 160

125-pound person is 66 inches tall

Step-by-step explanation:

Helpppppppppppppppppppppplppoollooppp

Answers

Answer:

I wouldn't advise putting answers from test on brainly its against the honor of code and you will get warned.

Step-by-step explanation:

The map below shows the locations of the houses of Maria Reese and Paul.what are the coordinates of Steve's house who lives 2 miles form Paul and 1 mile form Reese. Please help

Answers

Answer:

Coordinates of Steve's House are S (3,2)

The required coordinate of the Steves's house is (3,2).

The map below shows the locations of the houses of Maria Reese and Paul, coordinates of Steve's house who lives 2 miles from Paul and 1 mile from Reese is to be determined.

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
Since Steve's house lives 2 miles from Paul's, So the Y coordinate of Steve's house will raise to 2 more than the Y coordinate of Paul, So Y = 0 + 2 = 2
Now, Steve's house lives 1 mile from Reese x coordinate of Steve's house will raise to 1 more than the x coordinate of Reese, So X = 2 + 1 = 3

Thus, the required coordinate of the Steves's house is (3,2).

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Will give brainliest!!

Answers

Answer:

its 5 hours i think

Step-by-step explanation:

I really really really really need help 9(7)/3

Answers

Answer:

21

Step-by-step explanation:

9*7 is 63 divided by 3 should get you 21.

Answer:

21

Step-by-step explanation:

I NEED HELP IMMEDIATELY

Answers

Answer:

Between 80 and 160

Step-by-step explanation:

this is  such a bad graph i honestly could not give you an exact answer

If I do my maths homework at a rate of 1.6 questions per minute, it will take me 47 minutes to complete. What rate is needed to complete it in 34 minutes?

Give your answer correct to 1 decimal place.

Answers

Answer:

Step-by-step explanation:

reqd. rate=(1.6)×47÷34≈2.2 questions per minute.

The required rate to complete the question in 34 minutes is given as 2.2 questions per minute.

What is the rate of change?

Rate of change is defined as the change in value with rest to the time is called rate of change.

As mentioned in the question, in homework rate of doing questions is 1.6 questions per minute.
It took 47 minutes to complete the whole expression,

Total questions in the homework given by,
Total question = rate × time
Total question = 1.6 × 47
Total questions ≈ 75 questions

Now,
If the time to complete the question is 34 minutes, the rate required is given by,
Rate = total question/time

Rate = 75/34
rate = 2.2 questions per minute.

Thus, the required rate to complete the question in 34 minutes is given as 2.2 questions per minute.

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A zookeeper took a random sample of 30 days and observed how much food an elephant ate on each of those days. The sample mean was 350 kg and the sample standard deviation was 25 kg. Find the 95% confidence interval for how much food the elephant eats.

Answers

Answer:

341.95≤x≤358.95

Step-by-step explanation:

The confidence interval formula is expressed as;

CI = xbar±(z×s/√n)

xbar is the mean sample

s is the standard deviation

z is the z score at 95% confidence interval

n is the sample size

xbar = 350kg

z = 1.96

s = 25kg

n = 30

Substitute

CI = 350±(1.96×25/√30)

CI = 350±(1.96×4.564)

CI = 350±(8.946)

CI = (350-8.946, 350+8.946)

CI = (341.05, 358.95)

Hence the 95% confidence interval for how much food the elephant eats us 341.95≤x≤358.95

Could someone help with me his before I go to sleep and I hope when I wake up the answer is here pls

Answers

The last one is correct

Need help for this one!

Answers

(x+3 ; y-5)

If you have (-2 ; 3) that means x = -2 and y = 3 so:

(-2+3 ; 3-5) = (1 ; -2)

Drag and drop each number to its correct position on the number line.

PLEASE HELP!

Answers

Answer:

where is the numberline miss

Answer:

you forgot the picture

:-(((

5m+ 4 -m + 3/5 - 15m​

Answers

Final [tex]-11m + \frac{23}{5}[/tex]

Steps/Reasons/Explanation:

Question: Solve [tex]5m + 4 - m + \frac{3}{5} - 15[/tex].

Step 1: Collect like terms.

[tex](5m - m - 15m) + (4 + \frac{3}{5})[/tex]

Step 2: Simplify.

[tex]-11m + \frac{23}{5}[/tex]

~I hope I helped you :)~

Helppp I’ll mark brainliest

Answers

Answer:

a

Step-by-step explanation:

keep change flip so 9/10 x 5/2 =45/20 and simplified is 2 1/4

A. because 9×5 =45 and 10×2=20 =45/20 we simplify and 9/4 and still simplify then 2 1/4 is the answer

Which is equivalent to 10(-2 2/5)

Answers

4th option I’m pretty sure

The equivalent expression is,

⇒ - 24

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 10 (- 2 2/5)

Now,

Since, The expression is,

⇒ 10 (- 2 2/5)

Solve as;

⇒ 10 × ( - 12/5)

⇒ - 10 × 12/5

⇒ - 2 × 12

⇒ - 24

Thus, The expression is equivalent to - 24.

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Happy new year,
add 2000 + 21 = 2021
trying to be fun and creative.

Answers

HAPPY NEW YEAR:)

not only today

always be fun and creative

Answer:

2000+21=2021

its a very cool thing u got inur mind!!

What is the slope of the line y=3

A. 3
B. -3
C. 0
D. Undefined

Answers

Answer:

0

Step-by-step explanation:

Slope is the rise (change in y) over the run (change in x).

y=3 is simply a horizontal line.

hope this helps!

5x + 7 (-7) = 2x + 6 (-7)
What property is being shown above?
O Multiplication Property of Equality
Division Property of Equality
O Addition Property of Equality
Subtraction Property of Equality

Answers

Answer:

so sorry i had too

Step-by-step explanation:

someone passed this to me) 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you


6,6,5,5, 4, 7,4,8, 4, 6, 5, 7,8
Find the modes of this data set.
what’s the mode?

Answers

Answer: 6, 5, 4

Step-by-step explanation:

The mode is the number that you see the most. 6, 5, and 4 appear 3 times in the set.

Answer:

6,5,4

Step-by-step explanation:

the all tie in repeating 3 times. The mode is what repeats the most. since 6,5,4 all repeats 3 times they tie for mode.

which steps show how to use the distributive property to evaluate 5x58

Answers

Answer: 5 x 58 = 290           :)

Step-by-step explanation:

help me! : (x^3 - 7x^2 - 7x + 20) ÷ ( x+4)

Answers

Answer:

[tex] {x}^{2} - 11x + 37 - \frac{128}{x + 4} [/tex]

Best and Correct answer gets Brainliest!!!

Answers

Answer:

Line A

Step-by-step explanation:

Line A crosses 5 at y when it hits 1 at x, meaning that constant of proportionality is 5. Trust me ; D.

A druggist has two mixtures of a certain chemical and water, one containing 10% of the chemical and the other containing 40% of the chemical. How much of each mixture should he use to make 10 ounces that contain 25% of the chemical? How many ounces of chemical are in the final mixture? 1 2.5 7.5

Answers

Let x be the amount of the solution containing 10% of the chemical. Then, the solution with 40% chemical becomes 10 - x. The equation for balancing the chemical content of the solution is,
0.10x + 0.40(10 - x) = 0.25(10)
The value of x is 5. Hence, the druggist should mix 5 ounces of each. There are 2.5 ounces of chemical in the final mixture.

Answer:

the answer is= 2.5

Step-by-step explanation:

good luck!

simplify -8z^8+(-14z^8)

Answers

Answer:

-22x^8

Step-by-step explanation:

-8z^8 + (-14z^8)

z^8 = z^8

-8 - 14 = -22

-22z^8

What is special about y coordinate that goes with the x coordinate of 1on a proportional gragh

Answers

Answer:

The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If tou remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.

Step-by-step explanation:

I majored in Mathematics

please help me wth this

Answers

c is the answer because you multiply the numbers outside of the parentheses to every single number inside the parentheses
Answer C is the core one

1) Integers get bigger the further left they are located on a number line.
True
False
I need help!!!!!!!

Answers

Answer:

False

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

The left of the number line is the domain of negative numbers. As you go left on the number line, the integers are smaller.

On a box-and-whisker plot, what does line segment 2 represent?

a. minimum value
b. maximum
c. first quartile
d. third quartile​

Answers

I believe it’s C. first quartile

Answer:

first quartile c number option is the correct answer

Josslyn needs to earn at least $420 a week during her summer break to pay for college. She works two jobs, one at a restaurant that pays $18 an hour and the other tutoring for $16.50 per hour.

Let x be the number of hours she works at the restaurant and let y be the number of hours she works tutoring. Write an inequality that models this situation.

Answers

Answer:

x+y[tex]\geq[/tex]420

18x+16.50y[tex]\geq[/tex]420

Step-by-step explanation:

Answer:

18x + 16.50y ≥ 420

Step-by-step explanation:

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