The question is missing some parts. Here is the complete question.
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost in type II ovens. A samplle of 61 type I ovens has a mean repair cost of $79.60, with a standard deviation of $23.47. A sample of 45 type II ovens has a mean repair cost of $75.25, with standar deviation of $15.07. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let [tex]\mu_{1}[/tex] be the true mean repair cost for type I ovens and [tex]\mu_{2}[/tex] be the true mean repair cost for type II ovens.
Step 1 of 4: State null and alternative hypothesis for the test.
Step 2 of 4: Compute the value of test statistics. Round your answer to 2 decimal places.
Step 3 of 4: Determine the decision rule for rejecting the null hypothesis. Round the numerical portion of your answer to 3 decimal places.
Step 4 of 4: Make the decision for the hypothesis test. (Reject or fail to reject Null Hypothesis)
Answer and Step-by-step explanation:
First, state null and alternative hypothesis:
[tex]H_{0}: \mu_{1}=\mu_{2}[/tex]
[tex]H_{a}: \mu_{1}>\mu_{2}[/tex]
Use z-statistics:
[tex]z = \frac{x_{1}-x_{2}}{y}[/tex]
where x₁ and x₂ are the means and:
[tex]y=\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}} }[/tex]
Calculating value of test stattistic:
[tex]y=\sqrt{\frac{(23.47)^{2}}{61}+\frac{75.25^{2}}{45} }[/tex]
[tex]y = \sqrt{9.030+5.046}[/tex]
[tex]y = \sqrt{14.076}[/tex]
y = 3.752
[tex]z = \frac{79.6-75.25}{3.752}[/tex]
z = 1.16
The test statistics is z = 1.16
The decision rule for rejecting null hypothesis is: [tex]\alpha[/tex] ≤ test statistics
Using z-score table, it is possible to determine p-value, which is:
p-value = 0.877
Comparing p-value with level of significance (α = 0.05):
0.877 > 0.05
Therefore, we fail to reject the null hypothesis.
How do you do this question?
Step-by-step explanation:
The marginal totals are the sum of each row and column.
For example, the total number of sophomores is 120 + 302 = 422.
See picture of table with marginal totals filled in.
How do
You Write 67 in expanded form
Answer:
sixty seven
Step-by-step explanation: i think
Answer:
60+7
Step-by-step explanation:
The model below can be used to find the quotient of one over two divided by one over eight. What is the quotient?
Answer:
The answer is 0.25
Step-by-step explanation:
I hope this helps please rate me and like me.
Answer:
0.25 or 1/8
Step-by-step explanation:
I had your question in a quiz so i understand your troubles I hope this helps.
Find the length of each segment with endpoints A and B. Select the exact answer. (This means that it is either an integer or in simplest radical form) A (5,-6) B (-2,-8) a 10 b 3 c53 d 17
1. Order each group of
numbers from least to
greatest:
9,616
9,016 9,916 9.916.1
hope that helps !
In the table below, x represents miles traveled and y represents the cost to travel by train. Miles, x 2 5 Cost, y 8.50 15.25 22.00 31.00 8 12 What is the y-intercept of this function? 0 2.25 4.00 6.50 O 17.13
Answer:
4.00
I just did the question
Answer:
The Answer is B. 4.00
Step-by-step explanation:
Joseph is building a doghouse. He wants it to be a replica of his house, but smaller. His house is 18 feet tall. He needs the doghouse to be between 3 and 4 feet tall. Therefore, the doghouse should be what percentage of the size of his house? (Provide a range
Answer:
19%
Step-by-step explanation:
3/18=.19 and something else
3.5/18=.19 and something else
4/18= .19 and something else
18 * 19%= somewhere in between 3 and
Point M is the midpoint of AB. The coordinates of point A are (-6, 1) and the coordinates of M are (-3,2).
What are the coordinates of point B?
The coordinates of point B are
Answer:
Let B(a,b) be x1, y1
A(-6,1) be x2,y2
midpoint M(-3,2) be (x,y)
using midpoint formula
(x,y)= [(x1+x2)/2, (y1+y2)/2)
(-3,2) = [(a-6)/2, (b+1)/2}
comparing corresponding value
-3 = (a-6)/2 (b+1)/2 = 2
-6= a-6 b+1=4
a=0 b=3
coordinates of B = (0,3)
Select the sign of inequality that will make the following statement true.
|-5| __ 0
≥
≤
=
Answer:
≥
Step-by-step explanation:
The double bar around -5 is absolute value. It means any number will turn positive
|-5| ? 0
5 ? 0
5 ≥ 0
4(1+9x) simple fie for me please
The perimeter of a triangle is 32 feet. One side of the triangle is 3 times the second side. The third side is 12 feet longer
than the second side. Find the length of each side.
We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:
GiveN:
One side is 3 times the second side.Third side is 12 feet longer than the second side.As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.
So let the second side be xThen,
First side = 3xAnd, third side = x + 12We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:
[tex]3x + x + x + 12 = 32[/tex]
Solving it further,
[tex]5x + 12 = 32[/tex]
Subtracting 12 from both sides,
[tex]5x + 12 - 12 = 32 - 12[/tex]
[tex]5x = 20[/tex]
Dividing 5 from both sides,
[tex] \frac{5x}{5} = \frac{20}{5} [/tex]
[tex]x = 4[/tex]
Then,
First side = 3x = 12 feetSecond side = 4 feetThird side = x + 12 = 16 feetAnd we are done with the answer !!
#CarryOnLearning
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Nancy decides to roll a dice three times. What is the probability that she will roll all even numbers?
Given:
Nancy decides to roll a dice three times.
To find:
The probability that she will roll all even numbers.
Solution:
If a dice is rolled, then the possible numbers are
Total number = {1,2,3,4,5,6} = 6
Even numbers = {2,4,6} = 3
Odd numbers = {1,3,5} = 3
Probability of getting an even number [tex]=\dfrac{\text{Even number}}{\text{Total numbers}}[/tex]
[tex]P(\text{Even})=\dfrac{3}{6}[/tex]
[tex]P(\text{Even})=\dfrac{1}{2}[/tex]
So, probability of getting all even numbers is
[tex]P(\text{All even})=P(\text{Even})\times P(\text{Even})\times P(\text{Even})[/tex]
[tex]P(\text{All even})=\dfrac{1}{2}\times \dfrac{1}{2}\times \dfrac{1}{2}[/tex]
[tex]P(\text{All even})=\dfrac{1}{8}[/tex]
Therefore, the required probability is [tex]P(\text{All even})=\dfrac{1}{8}[/tex].
The probability that Nancy will roll all even numbers will be:
"[tex]\frac{1}{8}[/tex]".
ProbabilityAccording to the question,
Number of times dice rolled = 3
Total numbers = {1, 2, 3, 4, 5, 6}
= 3
Even numbers = {2, 4, 6}
= 3
Odd numbers = {1, 3, 5}
= 3
Now,
The probability of getting even numbers will be:
= [tex]\frac{Even \ numbers}{Total \ numbers}[/tex]
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
hence,
The required probability be:
= P(Even) × P(Even) × P(Even)
= [tex]\frac{1}{2}\times \frac{1}{2}\times \frac{1}{2}[/tex]
= [tex]\frac{1}{8}[/tex]
Thus the above answer is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
what the simplify form for –3(x + 3) + 4x
Answer:
x - 9
Step-by-step explanation:
First, distribute:
-3x - 9 + 4x
Then, simplify (add up x):
x - 9
And we're done ^^
Answer:
-3x -9 +4x
-3x + 4x - 9
x - 9
The answer is x - 9
you multiply -3 by x - 3
And there you go .
Order from least to greatest 1 1/4, 1 2/3, 11/12
Help please, quick!
Answer:
[tex]\frac{11}{12}[/tex],[tex]1\frac{1}{4}[/tex],[tex]1\frac{2}{3}[/tex]
Step-by-step explanation:
It wants you to take these 3 fractions and arrange them from least to greatest.
The first thing I did was look for the fraction with no number in front of it.
[tex]\frac{11}{12}[/tex] is the only fraction that has no numbers in front of it. So
The second thing I did was look for the fraction that had the biggest number in front of it. I see that the remaining fractions have the same number in front.
So, I drew 2 circles. 1 of the circles I shaded in and the other I split into 4 equal halves. I shaded in one of the halves. These 2 circles represent [tex]1\frac{1}{4}[/tex].
The next thing I did was draw 2 more circles. I shaded in one of them and slit the other one into 3 equal halves. I shaded in 2 of the halves. These 2 circles represent [tex]1\frac{2}{3}[/tex].
Last, look at the 4 circles and ask yourself which one is the most shaded in. If you said [tex]1\frac{2}{3}[/tex] you are correct. This fraction is the biggest. Meaning that [tex]1\frac{1}{4}[/tex] is in the middle.
Clear selection
2 points
3. Stephanie can run one lap around a track in 5 minutes. Lisa can run one
lap in 6 minutes. If they start running at the same time, how long will it be
until they complete a lap together?
11
30
12
6
Answer: If they start running at the same time, then it will take 30 minutes until they complete a lap together.
Step-by-step explanation:
Given: Stephanie can run one lap around a track in 5 minutes. Lisa can run one lap in 6 minutes.
If they start running at the same time, then the time they will take to complete a lap together = LCM (5,6)
prime factorization: 5=5 , 6 =2 x 3
So, LCM(5,6) = 5 x 2 x 3 = 30
Hence, it will take 30 minutes until they complete a lap together.
The expression 1/x+y is equal to which quantities
Step-by-step explanation:
exponents is the awnser
What does this equal?
Answer:
87/100
Step-by-step explanation:
Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are
2
numbers to the right of the decimal point, place the decimal number over
10
2
(
100
)
. Next, add the whole number to the left of the decimal.
I am a three digit number. I am greater than 312 but less than 348. The digit in my tens place equals 5+2. The sum of my digits is 18. What number am I?
when 560000 is written in notation, what is the power of 10 a 4, b 5, c 6, d 7
Answer:
a : 4
Step-by-step explanation:
56*10^4 = 56*10000=560000
negative three times a number increased by 7 is less than-11
Answer: false.
Step-by-step explanation: the equation is as follows:
-3 + 7 = 7 - 3, which = 5
-3 times 5 = -15, making the statement false.
Answer:
6
Step-by-step explanation:
-3x+7<-11
-3x<-11-7
-3x<-18
X<-18/-3
X<6
Solve for p in the literal equation 8p+5r=q
8p + 5r = q
We have to isolate the variable p. Let's begin by subtracting 5r from both sides.
8p = q - 5r
Divide both sides by 8
p = [tex]\frac{q - 5r}{8}[/tex]
[tex]8p + 5r = q[/tex]
Subtract 5r on both sides of the equation.
[tex]8p = - 5r + q[/tex]
Divide both sides of the equation by 8.
[tex]p = \frac{ - 5r + q}{8} [/tex]
Describe the transformation of the graph of the parent function y = √x for the function y = √x + 7 + 5.
Answer:
First part 7 units left and 5 units up
The 2nd part is v ≥-7 and the third part is Y≥5
Step-by-step explanation:
Done it in Edge and got it right :)
The transformation of parent function [tex]y = \sqrt{x }[/tex] to [tex]y = \sqrt{x + 7} + 5[/tex] is first translated 7 units left and then it translated 5 units up.
What is function?"It defines the relation between input and output values.""In function, for each input there is exactly one output."What is transformation of function?"It is nothing but mean transforming the function from one form to another."
For given question,
We have been given a function [tex]y=\sqrt{x}[/tex]
We need to describe the transformation of the graph for the function [tex]y = \sqrt{x + 7} + 5[/tex]
We know, if f(x) is transformed to f(x + a) then it means function f(x) is translated 'a' units left.
So, [tex]y=\sqrt{x+7}[/tex] means the function [tex]y = \sqrt{x}[/tex] is translated 7 units left.
We know, if f(x) is transformed to f(x ) + a then it means function f(x) is translated 'a' units up.
So, [tex]y = \sqrt{x + 7} + 5[/tex] means the function [tex]y = \sqrt{x + 7}[/tex] is translated 5 units up.
Therefore, the parent function [tex]y = \sqrt{x }[/tex] is first translated 7 units left and then it translated 5 units up.
Learn more about the transformation of the graph of the function here:
https://brainly.com/question/11990011
#SPJ3
A square tile has a side length of 10 cm what is the area of the tile
Answer:
Area = a²
= 10²
= 100
Step-by-step explanation:
Answer:
100 cm 2
Step-by-step explanation:
Area of square = s ^ 2
= 10 ^ 2
= 100 cm square
Ron is saving 2/13 of his monthly income of 3978 for a new car. how much money is he setting aside each month for that car?
Answer:
$612
Step-by-step explanation:
2/13 of 3978 is 612
The output from a statistical software package indicates that the mean and standard deviation of a data set consisting of measurements are $ and $, respectively. a. What are the units of measurement of the variable of interest? A. Units B. Dollars Your answer is correct.C. Single measurements
Answer: dollars
Step-by-step explanation:
Mean means average and it's calculated by adding the numbers given and then dividing the sum by the amount of numbers that were given.
The standard deviation shows the amount of dispersion or amount of variation of a given set of values. From the question, the only unit of measurement we can see is the dollar sign($).
Liz has 72 stamps in her collection. Risa, who just started her collection, has 9 stamps. Liz’s collection is how many times larger than Risa’s?
Answer:
8× (8 times)
Explanation:
For this question, divide.
72 ÷ 9 = 8.
Your answer will be 8.
Answer:
8 times as many
Step-by-step explanation:
8x9=72
You dont have to do all of them, but if you do you will get brainliest and five star.
1. what are the corrospoding parts of these two traingles? Write the corresponding angles and corresponding sides. 2. Assuming these triangles are simular, use the labels to write the ratios of corresponding sides that are proportional 3. Assuming these triangles are simular, write three statements relating the angle that are congruent
Answer:
See below.
Step-by-step explanation:
1. Look at the marks on the angles of both triangles.
Angles C and F have a single mark (that looks like an arc). They are congruent.
Angles A and D have a double mark (that look like arcs). They are congruent.
Angles B and E have a triple mark (that look like arcs). They are congruent.
Each pair of congruent angles is a pair of corresponding angles.
Corresponding angles:
<C and <F
<A and <D
<B and <E
For corresponding sides, we do this.
First, we write a statement of similarity.
Triangle ABC is similar to triangle DEF.
The statement of similarity must have the corresponding angles in the same order.
The order ABC and the order DEF matches corresponding angles.
The corresponding sides have the vertices of corresponding angles as their endpoints.
Corresponding sides:
AB and DE
BC and EF
AC and DF
2. For similar triangles, the ratios of the lengths of corresponding sides are equal.
The ratios of the lengths of corresponding sides are equal:
AB/DE = BC/EF = AC/DF
3.
<A is congruent to <D
<B is congruent to <E
<C is congruent to <F
Calculate the standard deviation of the volume of water at a temperature of 25°C.
Answer:
0.01
Step-by-step explanation:
Water is non viscous liquid and it has less density. The measure volume of water is 10.03 ml at 25 degree Celsius which is used to identify the standard deviation of the water.
Average volume of water 10.03ml.
Standard deviation is 0.0001 + 0.0001
Standard deviation is [tex]\sqrt{0.0002}[/tex] = 0.01.
What is the range?
8,10, 60, 3, 5, 13, 12, 40, 8
HELP PLEASE
I need help ASAP
Answer:
1032
Step-by-step explanation: