A computer laboratory manager was in charge of purchasing new battery packs for her lab of laptop computers. She narrowed her choices to two models that were available for her machines. Since the models cost about the same, she was interested in determining whether there was a difference in the average time the battery packs would function before needing to be recharged. She took two independent samples and computed the following summary information: Battery Pack Model 1 Battery Pack Model 2Sample Size 9 9Sample Mean 5 hours 5.5 hoursStandard Deviation 1.5 hours 1.3 hoursUsing the null and alternate hypothesis:H0:mu1-mu2=0 vs. Ha: mu1-mu2 not equal 0Calculate the test statistic for this test.
Answers
Answer:
-0.756
Step-by-step explanation:
N1 = 9
N2 = 9
Sd1 = 1.5 hours
Sd2 = 1.3 hours
X1 = 5 hours
X2 = 5.5 hours
Hypothesis
H0: mu1 - mu2 = 0
H1 : mu1 - mu2 not equal to 0
Test statistic
t = (x1 - x2)/SE
SE is the standard error, which is unknown
SE = √sd1²/n1 + sd2²/n2
= √1.5²/9 + 1.3²/9
= √0.25+0.1878
= √0.4378
= 0.66166
t statistics = (5-5.5)/0.66166
= -0.5/0.66166
= -0.756
Related Questions
A washer and a dryer cost $450 combined. The cost of the washer is two times the cost of the dryer. What is the cost of the dryer?
Answers
Answer:
$150
Step-by-step explanation:
so you can divvy this up into 3 parts
$150 each
now put 2 parts into one, and one into the other. The cost of the washer is $150
cost of the dryer is$ 300
If the markup rate is 50%, then the cost of a shirt that regularly sells for $60 is $40. true or false?
Answers
Answer:
false
Step-by-step explanation:
half of 60 dollars is 30
think of it as half of 6
I NEEDS SOME HELP PLS WITH THESE TWO QUESTIONS
♀️
Answers
The second question’s answer is: D. Left 6 & Up 15
Hope this helps!! :)
Factor out the greatest common factor from –12a – 8a2.
Question 3 options:
A)
–4a(3 + 2a)
B)
2a(6 – 4a)
C)
–2a(6 + 4a)
D)
4a(3 – 2a)
Answers
Answer:
A -4a(3 + 2a)
Step-by-step explanation:
-12a - 8a^2) factor out a -4
-4(3a + 2a^2) factor out an a
-4a(3 + 2a)
Treyvion runs a total of 48 miles in 12 days, how many miles can he run in 20 days?
Answers
Answer:
80 miles in 4 days.
Step-by-step explanation:
48/12 = 4
4 miles per day
4 × 20 = 80
80 miles in 4 days
Bags of sugar come in 3 sizes.
Small bag: A 175 g bag costs 55p.
Medium bag: A 525 g bag costs £1.76.
Large bag: A 1.15 kg bag costs £3.51.
Find the cost per gram for each bag of sugar.
Round your answers to 3dp.
Answers
Answer:
The cost per gram for each bag is:
Small bag: 0.00314 £
Medium bag: 0.00335 £
Large bag: 0.00305 £
Step-by-step explanation:
Small bag:
If 175 g cost 0.55 £, 1 g will be:
[tex] \frac{1g*0.55 \£}{175\: g} = 0.00314 \£[/tex]
Medium bag:
If 525 g cost £ 1.76, 1g will be:
[tex] \frac{1g*1.76 \£}{525\: g} = 0.00335 \£[/tex]
Large bag:
If 1150 g cost £ 3.51, 1g will be:
[tex] \frac{1g*3.51 \£}{1150\: g} = 0.00305 \£[/tex]
I hope it helps you!
An 18 fluid ounce bottle of lotion costs $10.99, what is the price per fluid ounce?
Answers
Answer:
$0.61 per fluid ounce
Step-by-step explanation:
$10.99 / 18 = $0.61 per fluid ounce
A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207) . Which of the following statements is the best interpretation of the interval?
a. The difference in the percents of fans of a professional football team between men and women is 17%.
b. There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.
c. We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.
d. We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Answers
Answer:
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval for the difference in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)
The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.
Aaron usually runs 1 1/2 miles each day. However, on
Tuesday he only ran 2/3 of that distance. How far did
Aaron run on Tuesday?
Answers
Can someone help me and please explain how you got the answer so I can learn?
Answers
Answer:
70
Step-by-step explanation:
A gardener wants to know if soaking seeds in water before planting them increases the proportion of seeds that germinate. To investigate, the gardener will assign 50 seeds to be soaked before planting and 50 seeds to be planted without being soaked. After two weeks, the gardener will record how many seeds in each group germinated and construct a 95 percent confidence interval for the difference in proportions. Which of the following conditions for inference should be met?
I. The seeds should be randomly assigned to a treatment.
II. The group sizes should be less than 10 percent of the population sizes.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
a. I only
b. II only
c. III only
d. I and III only
Answers
Answer:
d. I and III only
Step-by-step explanation:
I. The seeds should be randomly assigned to a treatment.
III. The number of successful seeds and unsuccessful seeds in each group should be at least 10.
The distribution of difference between two sample proportions :
Given :
Proportion 1 = P1 ;
Proportion 2 = P2 ;
Sample assignment for both samples 1 and 2 into the different treatment groups should be randomized, that is a simple random sampling of subjects into the treatment and control group. The sample design for difference between two sample proportions should be independent.
Finally each of the two proportions P1 and P2 should record a minimum of 10 successes and 10 non - successful Occurrences.
What is the result when g+ + 2 is subtracted from 32 - 41
?
10
100
3
03
10
1 3
o
10
7 9
10
9
-3-3 +1
10
0 3 2 - 1
Answers
Answer:
6
Step-by-step explanation:
6 is the correct answer because-3-3+1
[tex] {a}^{2} {a}^{4} {a}^{5} answer \: a40 \: or \: a11 [/tex]
Answers
2+4+5 = 11
Pls mark as brainliest
-0.5 how do I write the repeating decimal as a fraction?
Answers
Answer:
-1/2
Step-by-step explanation:
Write an equation for the line in slope-intercept
form.
(Use integers or fractions for any numbers in the
equation.)
Answers
Answer:
y = 3x + 5Step-by-step explanation:
Slope-intercept form:
y = mx + b, where m is the slope, b is the y-interceptTake two points from the graph:
(-2, -1) and (0, 5)Find the slope:
m = (5 - (-1))/(0 - (-2)) = 6/2 = 3The y-intercept is b = 5
The line is:
y = 3x + 5A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?
Answers
Answer:
en büyük 13 en küçük 7 dir
Miguel pays $42.99 per month at Be Fit Gym. Jina pays $215.94 every 6 months at
Main Street Gym. Which gym is more expensive? How much more does membership at
that gym cost each month?
Answers
1.45 to 4.35 as a simplified fraction
Answers
Answer:
1/45 = 0.02
4/35 =0.1 142857
Step-by-step explanation:
The expression of 1.45 to 4.35 as a fraction in its simplified form is 1/3.
What is a simplified fraction?A simplified fraction is an improper fraction that can no longer be further divided by a divisor. An improper fraction is a fraction with both the numerator and the denominator.
From the information given, we are to express 1.45 to 4.35 as a simplified fraction.
i.e.
= 1.45 as a ratio of 4.35
= 1.45/ 4.35
= 1/3
Learn more about fractions here:
https://brainly.com/question/78672
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✨6 grade math✨ Step by step pls
Answers
Answer:
pemdas!!
p=( ), [, ]
e= exponts
m and d= multiplaction and division
a and s = add and subtract
now 3x(3+12/3)-4
= 3x(3+4)/4
= 3x(7)/4
= 3x7/4
= 21-4
= 17
Step-by-step explanation:
Step-by-step explanation:
[tex]3 \times (3 + 12 \div 3) - 4 \\ \\ = 3 \times (3 + 4) - 4 \\ \\ = 3 \times 7 - 4 \\ \\ = 21 - 4 \\ \\ = 17[/tex]
find c and round to the nearest tenth
Answers
Answer:
C=9.7
Step-by-step explanation:
Haha
Heres a challenge!! Marking most Brainly:)))
Answers
Answer:
(30, 90) is a viable solution
(50, 160) is a nonviable solution
Step-by-step explanation:
an isosceles triangle has congruent sides of 20 cm. the base is 10 cm. Find the height of the triangle. Round to the nearest tenth. (Pythagorean theorem)
Answers
Answer:
The height of the triangle would be
5
√
15
c
m
or
19.36
c
m
Step-by-step explanation:
Find the length of AB when A(-4,1) and B(3,-1). Round to the nearest tenth (one decimal place) if necessary.
Answers
Answer:
7.3 units is the answer rounded
When A(-4,1) and B(3,-1), the length of AB is approximately 7.3 units.
What is distance formula?The distance formula is a mathematical formula that is used to compute the distance between two points in a coordinate plane.
This formula is derived from the Pythagorean theorem, which states that the square of the length of the hypotenuse in a right triangle equals the sum of the squares of the lengths of the other two sides.
We can use the distance formula to find the length of AB:
[tex]d = \sqrt{ ((x2 - x1)^2 + (y2 - y1)^2)}[/tex]
Where (x1, y1) = (-4, 1) and (x2, y2) = (3, -1)
d = sqrt([tex](3 - (-4))^2 + (-1 - 1)^2[/tex])
= sqrt([tex]7^2 + (-2)^2[/tex])
= sqrt(49 + 4)
= sqrt(53)
≈ 7.3 (rounded to one decimal place)
Therefore, the length of AB is approximately 7.3 units.
For more details regarding distance formula, visit:
https://brainly.com/question/25841655
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5.6 x N= 2.24 N=? Please help
Answers
Answer:
N = -3.36
Step-by-step explanation:
5.6 x N= 2.24
-5.6 -5.6
N= -3.36
Answer:
N= 0.4
Step-by-step explanation:
5.6 x N= 2.24
Divide both sides by 5.6
5.6 and 5.6 cancel out
2.24/5.6= 0.4
Check your work
5.6 x 0.4 =2.24
0.4 is correct
Hope this helps ^-^
Writing an Equation in Slope-Intercept Form
Determine the equation for the given line in
slope-intercept form.
Answers
Answer:y=Mx+b
Step-by-step explanation:
Complete each statement then state the property or properties illustrated by each statement on
Answers
Answer:
(8n)(-77)=-77(n*8)
We move all terms to the left:
(8n)(-77)-(-77(n*8))=0
We add all the numbers together, and all the variables
8n(-77)-(-77(+n*8))=0
We multiply parentheses
-616n-(-77(+n*8))=0
We calculate terms in parentheses: -(-77(+n*8)), so:
-77(+n*8)
We multiply parentheses
-616n
Back to the equation:
-(-616n)
We get rid of parentheses
-616n+616n=0
We add all the numbers together, and all the variables
=0
n=0/1
n=0
the property is Associative Property
Step-by-step explanation:
this one was kinda hard pls let me know it its right or not
Ryan made a $3180 down payment on a car. The total cost of the car was $7500. He made 36 equal monthly payments to pay the car in full. How much did Ryan pay per month?
Answers
write an expression that is equivalent to (x-5)²
Answers
Answer:
x²-10x+25
Step-by-step explanation:
expand the expression
(x-5)²
(x-5)(x-5) distribute
x²-5x-5x+25
combine like terms
x²-10x+25
if you get x^2-25 then you're only squaring the x and 5, you have to square the whole equation (x-5)(x-5) is doing (x-5)^2. for example, if you just had (5)^2 you would take the whole "equation" which is 5 and times that equation by itself.
impact of humour in specific language structure
Answers
Answer:
Summary
Interest in the linguistics of humor is widespread and dates since classical times. Several theoretical models have been proposed to describe and explain the function of humor in language. The most widely adopted one, the semantic-script theory of humor, was presented by Victor Raskin, in 1985. Its expansion, to incorporate a broader gamut of information, is known as the General Theory of Verbal Humor. Other approaches are emerging, especially in cognitive and corpus linguistics. Within applied linguistics, the predominant approach is an analysis of conversation and discourse, with a focus on the disparate functions of humor in conversation. Speakers may use humor pro-socially, to build in-group solidarity, or anti-socially, to exclude and denigrate the targets of the humor. Most of the research has focused on how humor is co-constructed and used among friends, and how speakers support it. Increasingly, corpus-supported research is beginning to reshape the field, introducing quantitative concerns, as well as multimodal data and analyses. Overall, the linguistics of humor is a dynamic and rapidly changing field.Step-by-step explanation:
100% of what equals 12
Answers
Answer:
12
Step-by-step explanation: