Complete Question
A researcher posed a null hypothesis that there was no significant difference between boys and girls on a standard memory test. He randomly sampled 40 girls and 40 boys in a community and gave them the standard memory test. The mean score for girls was 68 and the standard deviation of mean was 5.0. The mean score for boys was 66 and the standard deviation of mean was 5.0. What is the p-value and your conclusion at alpha 0.05
Answer:
The p-value is [tex]p-value =0.073614[/tex]
The conclusion is
There is sufficient evidence to support the claim that there was no significant difference between boys and girls on a standard memory test
Step-by-step explanation:
From the question we are told that
The sample size of boys and girls is [tex]n_1= n_2 = n = 40[/tex]
The standard deviation is [tex]s_1= s_2 = s = 5[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
The sample mean for boys is [tex]\= x_1 =66[/tex]
The null hypothesis is [tex]H_o : \mu_1 = \mu_2[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 < \mu_2[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\= x_1 - \= x_2 }{ \sqrt{\frac{s_1 ^2 }{n_1} + \frac{s_2 ^2 }{n_1} } }[/tex]
=> [tex]z = \frac{66 -68 }{ \sqrt{\frac{5^2 }{40} + \frac{5 ^2 }{40} } }[/tex]
=> [tex]z = -1.789[/tex]
From the z table the area under the normal curve to the left corresponding to -1,789 is
[tex]P(Z < -.1789 ) = 0.036807[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P(Z < -.1789 )[/tex]
=> [tex]p-value = 2 * 0.036807[/tex]
=> [tex]p-value =0.073614[/tex]
From the values obtained we see that [tex]p-value < \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to support the claim that there was no significant difference between boys and girls on a standard memory test
Multiply the following complex numbers: (-7+ ) and ( + i). Show all work and explain the steps you are taking in the work.
Answer:
Step-by-step explanation:
in complex number land there are two distict parts real.. the first number and imaginary.. the second number with the i
if your problem really only has a 7 and an i in it.. then it looks like below
7 * i = 7i
but..I suspect you just left out a bit of the problem.. repost .. i'll answer it again if the problem is different that what you posted already :)
The complex number is indeed the product of real and imaginary numbers. It's stated in proper format as a + bi, where a reflects the current part while bi represents the imaginary part, Either because portion could be 0 in theory, any actual or imagined integer can be considered a complex number, and further calculation can be defined as follows:
Given:
[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]
To find:
Multiply complex numbers.
Solution:
[tex]\to \bold{-7+}\\\\\to \bold{+i}[/tex]
[tex]\therefore\\\\\to \bold{a+ib}[/tex]
In these questions, the value of a is missing so,
[tex]\to \bold{-7+ \times +i}\\\\\to \bold{-7 \times i}\\\\\to \bold{-7i}\\\\[/tex]
Therefore, the final answer is "-7i".
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A utility company estimates that a power line repair job will take a total of 24 person-hours. If 3 workers are assigned to the job, how long will it take them to complete the job according to this estimate?
Answer:
8hrs
Step-by-step explanation:
[tex] \frac{24}{3} \\ \\ [/tex]
Based on the information given, the number of hours that will be used will be 8 hours.
From the information given, the company estimates that a power line repair job will take a total of 24 person-hours and 3 workers are assigned to the job.
Therefore, the number of hours that will be used will be:
= 24 hours / 3
= 8 hours
Learn more about division on:
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Alfie is cooking a 0.6kg jaunt of steak for dinner. calculate the total time he needs to cook for it
Answer: This is a tough question
Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D
Step-by-step explanation:
Hurry and anwser plz
Answer:
D
Step-by-step explanation:
103+103=206
360-206=154
154 divided by 2 equals 77 degrees aka D.
Hope this helped! :)
7. Marsha has three times as many quarters as she does nickels. She has a total of $3.20. How
many of each coin does she have?
A. 2 quarters and 6 nickels
B. 12 quarters and 4 nickels
C. 8 quarters and 24 nickels
D. 18 quarters and 6 nickels
Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm
Answer:
exponential expression:
8ᵇ = 2
log8(2) = 0.333333333 or 1/3
Answer:
log8(2) = 1/3
Step-by-step explanation:
I don't know if they mean this by an exponential expression but:
set x = log8(2), then
8^x = 8^(log8(2))
By logarithmic properties:
8^x = 2.
notice that 8 = 2^3.
By exponential properties:
8^x = (2^3)^x = 2^(3x)
So 2^(3x) = 2 = 2^1.
Comparing exponents gives:
3x = 1 <=> x = 1/3.
So log8(2) = 1/3.
WILL MAKE BRAINLIST
The booster club needs to raise at least $5000 for new football uniforms. So far they have raised 1,280 enter an inequality to find the a average amounts each of the 97 members can raise to meet the club's objectives
Answer:
Step-by-step explanation:
5000[tex]\geq[/tex]1280+97x
Definition of intersect in geometry.
Answer:
Intersect means two lines met together and formed a point.
Step-by-step explanation:
None
Justin wants to buy a laptop computer that costs $580. He takes a loan from the electronics store that charges him 14.5% simple interest per year. What is the balance of the loan after 2 years?
Answer: omggg I need that one too irdk I need help
Step-by-step explanation:
Answer:
It is 748.2
Step-by-step explanation:
With formula I=PRT you sub in the P R and T. once you do that you get the answer of 168.2, after you add 168.2 to the original amount which gives you the answer 748.2
Ramon earns $1,785 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
3.0%
Step-by-step explanation:
[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]
will give brainliest!
Answer:
2/1=2
Step-by-step explanation:
How would I write f(x) = -4(x-2)+ 7 in standard form
Answer:
The standard form of the given equation is f(x) = 0x²-4x+15=0
Step-by-step explanation:
The standard form is ax²+bx+c=0
Given f(x) = -4(x-2)+ 7
we can write the standard form
= 0x² -4(x-2)+7 =0
⇒ 0x² -4x +8 +7 =0
⇒ 0x² -4x + 15 =0
now comparing the standard form ax²+bx+c=0
a = 0 , b= -4 and c =15
The average amount of money spent for lunch per person in the college cafeteria is $6.35 and the standard deviation is $2.31. Suppose that 41 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.
What is the distribution of X?X ~ N(,)
What is the distribution of x¯? x¯ ~ N(,)
For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.1605 and $6.757.
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.
Answer:
(6.35, 5.34)
(6.35, 0.99)
0.10253
0.3984
Step-by-step explanation:
Given that :
μ = 6.35
σ = 2.31
n = 41
What is the distribution of X?X ~ N(,)
X :
Mean of distribution = μ= 6.35
The variance = σ^2 = 2.31^2 = 5.3361 = 5.34
X ~ N = (6.35, 5.34)
What is the distribution of x¯? x¯ ~ N(,)
The mean = μ = 6.35
The standard deviation of the mean = σ/sqrt(n) = 6.35/sqrt(41) = 0.9917 = 0.99
X ~N = (6.35, 0.99)
find the probability that this patron's lunch cost is between $6.1605 and $6.757.
P(6.1605 < x < 6.757)
Obtain the standardized scores:
Z = (x - μ) / σ ; (6.1605 - 6.35) / 2.31 = - 0.082
P(Z < - 0.082) = 0.46732 (Z probability calculator)
(6.757 - 6.35) / 2.31 = 0.176
P(Z < 0.176) = 0.56985 (Z probability calculator)
P(Z < 0.176) -P(Z < - 0.082)
0.56985 - 0.46732 = 0.10253
For the group of 17 patrons, find the probability that the average lunch cost is between $6.1605 and $6.757.
P(6.1605 < x < 6.757) ; n = 17
Obtain the standardized scores:
Z = (x - μ) / σ/sqrt(n) ; (6.1605 - 6.35) / 2.31/sqrt(17) = - 0.338
P(Z < - 0.338) = 0.36768 (Z probability calculator)
(6.757 - 6.35) / 2.31/sqrt(17) = 0.726
P(Z < 0.726) = 0.76608 (Z probability calculator)
P(Z < 0.726) -P(Z < - 0.338)
0.76608 - 0.36768 = 0.3984
Answer:
he did a good job
Step-by-step explanation:
Water freezes at 32° Fahrenheit, which is 0° Celsius. Water boils at 212 Fahrenheit, which is 100 Celsius. Which temperature would be the best estimate for water at room temperature in Celsius
Answer:
20
Step-by-step explanation:
I don't really know how to explain this beyond either memorizing this or remembering that Fahrenheit is around 70 degrees and estimating it.
[tex]\frac{r}{6} = 8[/tex]
what is r?
r = 48
My explanation~r/6 = 8 // - 8
r/6-8 = 0
1/6*r-8 = 0 // + 8
1/6*r = 8 // : 1/6
r = 8/1/6
r = 48
And to check~
48/6
48 ÷ 6
=
8
:PP hope i helped!!have a good day :3solve the system of linear equations. 3x+4y= -18 ; y= -4x -11
Answer:
(-2,-3)
Step-by-step explanation:
Aden started with 6 cups of water. Throughout the day he drank the following amounts: 1 1/3 cups, 1 1/2 cups, 1 2/3 cups, and 3/4 cup. How many cups of water are left?
A. 2/3
B. 3/4
C. 1 1/3
D. 1/4
Answer:
B. 3/4 cup of water
Step-by-step explanation:
1 1/3 + 1 1/2 + 1 2/3 + 3/4 = 5 1/4
6 - 5 1/4 = 3/4
Answer: B or 3/4
Step-by-step explanation:
ok first add all the amounts he drank together
1 1/3 + 1 1/2 + 1 2/3 + 3/4
because the denominators are all different, you have to change them to a common denominator, which is 12. i've also changed them to improper fractions.
1 1/3 = 4/3 = 16/12 1 1/2 = 3/2= 18/12 1 2/3 = 5/3= 20/12 3/4 = 9/12
now add them all together
16/12 + 18/12 + 20/12 + 9/12 = 63/12
now convert the original 6 cups to an improper fraction with the denominator of 12
6 = 72/12
now subtract 63/12 (the amount he drank) from 72/12 (the amount he started with)
72/12 - 63/12 = 9/12
9/12 is able to be simplified to 3/4
so the correct answer is B, or 3/4
what is the answer to (x+3)^5
(x + 3)⁵
= x⁵ + 3⁵
= x⁵ + 243
The point (–5, 6) is located in which quadrant?
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant 2
Step-by-step explanation:
Step-by-step explanation:
4th quadrant cause x is positive and y is negative
A copy machine produces six pages a print and six seconds how many pages are produced per second
Answer:
if the printer produces 6 pages in 6 seconds it would be 1 page per second.
mathematically: 6 pages/6 seconds= 1 page/second
Enter the rate of change of the table below
This is the table
X. Y
1 73
2 96
3 119
4 142
What is the rate of change
Can someone help me with number 7
Answer:
1. zach is 20'
2. zack is 13
Step-by-step explanation:
5x+10y=5 -13x+4y=17 NEED HELP
WILL MARK THE RIGH ANSWER BRAINLIEST
Answer:
I think x = 1 and y = 1/2. For the second: x = -1 4/13 or -1.307692, y = 4 1/4 or 4.25
Step-by-step explanation:
which of the following is a quadratic function?
Answer:
A
Step-by-step explanation:
Y = ax2 +bx + c
Find the value of x → x² = (Q - A)(Q - B)(Q - C) ….. (Q - Z)
Answer:
[tex]\boxed{0}[/tex]
Step-by-step explanation:
x² = (Q - A)(Q - B)(Q - C) ... (Q - Z)
x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(Q - Q)(Q - R) ... (Q - Z)
x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(0)(Q - R) ... (Q - Z)
x² = 0
x = 0
Answer:
t8y8 uv7g7 ug8 ugy ug h 7 v jvu utyc7 . hit u ut taj h
Step-by-step explanation:
fucjvjvi j jvu jvivu igigi ivigi iigihi ivigi igih
Please help me answer this :)
I will give braisnlt
Answer:
y = -1/2x + 4
Step-by-step explanation:
I got -1/2x because for every 2 spaces, the line goes down 1 (rise/run)
I got +4 because 4 is where x = 0, or the y intercept
f(x) = 2x3 + 6x2 – 5x – 3
g(x) = 3x – 4
Find (f - g)(x).
O A. (f - g)(x) = 2x3 + 6x2 – 2x – 7
O B. (f - g)(x) = 2x3 + 6x2 – 2x + 1
O c. (f - g)(x) = 2x3 + 6x2 – 8x – 7
O D. (f - g)(x) = 2x3 + 6x2 – 8x + 1
Answer:
D) is the answer
Step-by-step explanation:
It is taught in 5th class in India
Mark as Brainliest.
Because I am Indian and solving your question from India.
The correct answer is option D which is (f - g)(x) = 2x³ + 6x² – 8x + 1.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Given that:-
f(x) = 2x³ + 6x² – 5x – 3
g(x) = 3x – 4
The function (f-g)x will be calculated as follows:-
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( 2x³ + 6x² – 5x – 3 ) - ( 3x – 4 )
(f - g)(x) = 2x³ + 6x² – 5x – 3 - 3x + 4
(f - g)(x) = 2x³ + 6x² – 8x + 1
Therefore the correct answer is option D which is (f - g)(x) = 2x³ + 6x² – 8x + 1.
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I can model and solve one variable two step equations
9x-10= 63
Answer:
Step-by-step explanation:
good job?
Please help me!!! Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer
Answer:
1:35 pm
Step-by-step explanation:
Given that:
Willis tower = 1 hour 10 minutes
Navy piers = 3 hours 10 minutes
Shopping = 1 hour 15 minutes
(1 hour 10 min) + (3 hour 10 minutes) + 1 hour 15 minutes
Total time touring Chicago = 4 hours 35 minutes
Since dinner reservation is at 5 :10 pm
Touring should start latest:
5:10 - 4 hours 35 minutes = 1 :35 pm
What is the answer for 2 x 4 x 5 x 99 ÷ 3 x 56?
Brainliest for the correct answer!
Answer:
73920
Step-by-step explanation:
pemdas
2*4=8
8*5=40
40*99=3960
3960/3=1320
1320*56=73920
Answer:
73920
Step-by-step explanation: