Answer:
a) 70,663.57< [tex]\overline x[/tex] < 113,680.43
b) The sampling distribution of the means is expected to be approximately normal given that n > 30
Step-by-step explanation:
The given parameter of the study are;
The number of reports in the study, n = 75 reports
The average debt, [tex]\overline x[/tex] = $92,172
The standard deviation, Sₓ = $111,538
a) A one-sample t confidence interval is given as follows;
The Degrees of Freedom, df = n - 1 = 75 - 1 = 74
[tex]C.I, = \overline x \pm t^* \cdot \dfrac{S_x}{\sqrt{n} }[/tex]
[tex]t^*[/tex] = The critical t, at 95% confidence level = 1.67
Therefore, we have;
[tex]C.I, = 92,172 \pm 1.67 \cdot \dfrac{111,538}{\sqrt{75} }[/tex]
Therefore, we have;
[tex]C.I, = 92,172 \pm 1.67 \cdot \dfrac{111,538}{\sqrt{75} }[/tex]
C.I. = (92,172 ± 21,508.43)
Therefore, the 95% one-sample t confidence interval for the average debt of the companies at the time of filing, C.I. = 70,663.57< [tex]\overline x[/tex] < 113,680.43
b) The defense for using the t confidence interval in the question is supported that the fact that the sample size is larger than 30 (n = 75) the sampling distribution of means will be approximately normal and the population mean will be between the confidence interval for the mean.
Mrs Brown and Mrs Jones make 4 dozen sandwiches in half an hour in Mrs Jones’ small kitchen. If they had 30 friends in to help, how many sandwiches could be made in the same time?
Answer:
1488 sandwiches in thirty minutes
Step-by-step explanation:
Are congruent triangles also similar?
Answer: yes they are
Step-by-step explanation:
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal.
Answer:
Yes
Step-by-step explanation:
While congruent triangles are similar, similar triangles may not be congruent.
2. Rewrite the following as mixed fractions in simplest form.
a. 1,75
Step-by-step explanation:
question is not understandable bro i can't understand
Vertical angles are equal in measure.
always
sometimes
O never
Answer:
Always
Step-by-step explanation:
Thank you have a great day
I need help with this pls its a grade
Answer:
1.63
2.300
3.96
4.180
5.186.2
6.194.4
Step-by-step explanation:
Peter is the owner of a hardware supply shop. He has hired you to check his machines calibration prior to starting production on a large order. To check this, you set the machine to create 2.0 inch nails and manufacture a random sample of 200 nails. That sample of nails has an average length of 2.024 inches with a standard deviation of 0.205 inches.
Does this sample provide convincing evidence that the machine is working properly or should it be shut down for repairs?
Answer:If we compare the p value and the significance level assumed we see thatso we can conclude that we have enough evidence to FAIL reject the null hypothesis, so we can conclude that the true mean is not different from the specification at 1% of signficance.
Step-by-step explanation:
The machine is working properly based on the convincing evidence provided by the sample.
How to calculate the test statistics.For the null hypothesis, we would test that:
H0 : p = 2
For the alternate hypothesis, we would test that:
Ha > p = 2
In Mathematics, the test statistics of a given sample is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }[/tex]
Where:
x is the sample mean.u is the mean.is the standard deviation.n is the sample size.Substituting the given parameters into the formula, we have;
[tex]Z=\frac{2.024\;-\;2}{\frac{0.205}{\sqrt{200} } }\\\\Z=\frac{0.024}{\frac{0.205}{14.14} }\\\\Z=\frac{0.024}{0.0145 }[/tex]
Z = 1.66.
For the p-value:
P(Z > Zo) = P(Z > 1.66)
P(Z > 1.66) = P(Z < -1.66)
P(Z < -1.66) = 0.0485.
From the z-table, a z-score of 1.66 corresponds has a p-value of 0.0485. Therefore, the p-value for this test is 0.0485 < 2 while assuming a confidence level of 95%.
In conclusion, we fail to reject the null hypothesis because 0.0485 < 2.
Read more on null hypothesis here: https://brainly.com/question/14913351
15 less than 3 times a number is 5 more than half of the number.
Answer:
Mystery Number is 8
Step-by-step explanation:
3x - 15 = 5 + 1/2x
3x - 1/2x = 15 + 5
5/2x = 20
x = 20 / 5/2
x = 20 * 2/5
x = 40 / 5
x = 8
I need help please.
Answer:
Step-by-step explanation: Just do 0.25+0.25 then the answer x 0.18 and then divide the answer by 2 and it should equal 0.045
I’ll give points and brainalist for correct answer / explanation
Answer:
i think you forgot to attach the image lol
Step-by-step explanation:
Plz help this is 400 points. Nancy bought a Reuben sandwich and received her change in several coins. The cashier handed Nancy 2 half dollars, 3 quarters, 4 dimes, 4 nickels, and 1 penny. How much money did Nancy get in change?
Answer:
2.35
Step-by-step explanation:
2x50=100
3x25=75
4x10=40
4x5=20
100+75+40+20=2.35
what is the negation of "x>3"?
a)=3
b.)_<3
c.)<3
Given:
The inequality is:
[tex]x>3[/tex]
To find:
The negation of the given inequality.
Solution:
The given inequality is [tex]x>3[/tex], it means all the value which are greater than 3 are included in the solution set.
Since all the values which are less than or equal 3 are not included in the solution set, therefore the negation of the given inequality is
[tex]x\leq 3[/tex]
Therefore, the negation of [tex]x>3[/tex] is [tex]x\leq 3[/tex].
Note: Option are not in proper format.
o 12h + h +17-5
Help and please
Which of the following is true about the expression 7 + V3?
Answer:
is this a multiple-choice question?
Step-by-step explanation:
**i'll go back and change my answer, i promise**
What is another possible solution to the inequality -2x > 6?
Answer:
Step-by-step explanation:
Answer:
x<−3
Step-by-step explanation:
Let's solve your inequality step-by-step.
−2x>6
Step 1: Divide both sides by -2.
−2x/−2 > 6/−2
Answer:
x<−3
HOPE THIS HELPS
Branliest pls?
28 is equal to how many hundredths and tenths
Answer:
0 hundredths. 2 tenths and 8 ones
I need help with this geometry question guyss!!
Answer:
Step-by-step explanation:
If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.
factor g(x) =6x^3 +13x^2 -2x -1 if (2x + 3) is a factor.
Here are two patterns made using identical rhombuses. Without using a protractor, determine the value of a and b. (Remember that all the way around a circle is 360°. Start by finding the measure of angle a in the figure on the left.)
Answer:
hope it helps
Step-by-step explanation:
have a great day
Plss this is timed will mark brain least if shown work!
Answer:
good
Step-by-step explanation:frog
Carson is g years old Haley is 2 yrs younger then Carson. find the sum of their ages in terms of g
Answer:
2g-2
.....................
Answer
2g -2
Step-by-step explanation:
Carson is =gHarley = 2-gHelp... need it right now ;-;
Answer:
1
Step-by-step explanation:
|3 + 2 - 6| = |5 - 6| = |-1| = 1
Answer:
1
Step-by-step explanation:
Hello There!
For this one, like the other one, all we have to do is plug in the values
so
l 3 - (-2) + (-6) l
3 - (-2)
the two negative signs cancels out so now its
3+2 which is equal to 5
5-6=-1
l-1l remember l l means absolute value and the absolute value of -1 is 1 so the answer is 1
50 points help me please
PLEASE HELP I WILL MARK BRAINLIST!!
Answer:
umm whats the question-
help you in what man?
there is no question
Write two numbers that multiply to the value on top and add to the value on bottom,
-70
3
Answer:
45
Step-by-step explanation:
45
What decimal is equivalent to 8/40?
Answer:
0.20
Step-by-step explanation:
8 divided by 40 equals 0.2
0.20 is the decimal is equivalent to 8/40.
What is decimal?A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.
Given:
Fraction = 8/40
Now, simplifying the given fraction
8/40
= 8/( 8x 5)
= 1/5
=0.20
Hence, 0.20 is the decimal is equivalent to 8/40.
Learn more about decimal here:
https://brainly.com/question/109147
#SPJ2
Over which interval does f(t) have positive average rate of change
Answer:
i dont know im just doing this for the points
Answer: {2,4}
Step-by-step explanation: Khan Academy
The table shows the fraction of the box of eggs that she will use to make different breakfast items. The family will choose from these items in the table
Food Choices Fraction of Eggs used
Egg Salad
2.
Pancakes
Omelets
Scrambled Eggs
8
2.
3
7
12
1
4
Waffles
Which food combinations could Mrs. Solis make without needing a second box of eggs? Choose the THREE correct answers.
A
Pancakes and Waffles
B
Pancakes and Egg Salad
С
Omelets and Egg Salad
D
Waffles and Egg Salad
F
Scrambled Eggs and Omelets
Answer:
C
Step-by-step explanation:
A poll of 803 adults in the United States found that a majority—60%—said that changes should be made in government surveillance programs. The poll reported a margin of error of 3.5%.
Explain in plain English what we can conclude from this poll.
We can conclude that most American adults want changes in government surveillance programs. But we can't conclude what specific changes in those programs they want (more surveillance? less? it doesn't say.)
Which of the following is a statistical question? A. How many girls named Jennifer are there in the class? B. What is the age of students in Ron's school? C. How many artifacts are there in the museum? D. What is the capital of Texas?
Answer:
bbbb
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
It may vary
If f(x) = 3-x, what is f(2)?
Answer:
f(x) = 3 - x
x = 2
f(2) = 3 - 2
f(2) = 1