Construct a 90% confidence interval for μ1-μ2 with the sample statistics for mean calorie content of two bakeries' specialty pies and confidence interval construction formula below. Assume the populations are approximately normal with equal variances.
Answers
Answer:
The 90% confidence interval for the difference in mean (μ₁ - μ₂) for the two bakeries is; (49) < μ₁ - μ₂ < (289)
Step-by-step explanation:
The given data are;
Bakery A
[tex]\overline x_1[/tex] = 1,880 cal
s₁ = 148 cal
n₁ = 10
Bakery B
[tex]\overline x_2[/tex] = 1,711 cal
s₂ = 192 cal
n₂ = 10
[tex]\left (\bar{x}_1-\bar{x}_{2} \right ) - t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}< \mu _{1}-\mu _{2}< \left (\bar{x}_1-\bar{x}_{2} \right ) + t_{c}\cdot \hat \sigma \sqrt{\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}}}[/tex]
df = n₁ + n₂ - 2
∴ df = 10 + 18 - 2 = 26
From the t-table, we have, for two tails, [tex]t_c[/tex] = 1.706
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( n_{1}-1 \right )\cdot s_{1}^{2} +\left ( n_{2}-1 \right )\cdot s_{2}^{2}}{n_{1}+n_{2}-2}}[/tex]
[tex]\hat{\sigma} =\sqrt{\dfrac{\left ( 10-1 \right )\cdot 148^{2} +\left ( 18-1 \right )\cdot 192^{2}}{10+18-2}}= 178.004321469[/tex]
[tex]\hat \sigma[/tex] ≈ 178
Therefore, we get;
[tex]\left (1,880-1,711 \right ) - 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}< \mu _{1}-\mu _{2}< \left (1,880-1,711 \right ) + 1.706\times178 \sqrt{\dfrac{1}{10}+\dfrac{1}{18}}[/tex]
Which gives;
[tex]169 - \dfrac{75917\cdot \sqrt{35} }{3,750} < \mu _{1}-\mu _{2}< 169 + \dfrac{75917\cdot \sqrt{35} }{3,750}[/tex]
Therefore, by rounding to the nearest integer, we have;
The 90% C.I. ≈ 49 < μ₁ - μ₂ < 289
Related Questions
PL Z HELP 30 points brainliest
Kenneth sold $26,000 worth of computers in eight days. At this rate, how many dollars worth of computers can he sell in 10 days?
Answers
Answer:
$32500
Step-by-step explanation:
26,000/8=3250
325010x10=32500
11. What is the value of x?
X
X-
2
x + 5
x + 1
Answers
da - x+5
Explicación
cualquier expresión multiplicada por 1 es igual a si mismo
x-2x+s
agrupe los términos semejantes
-x+5
HELP PLS!!
If the sequence 4, 8, 12, 16 continues, what will be the 7th
term?
Answers
Answer:
28
Step-by-step explanation:
In order to find the seventh term in this arithmetic function, you need to find its function; in order to do this, you must first identify the common difference by finding the difference between two consecutive terms:
16 - 12 = 4; the common difference is 4
Now, you need to find the 0th term, which is the 1st term minus the common difference:
4 - 4 = 0
At this point, you can write out the function (where f(n) = [0th term] + [common difference]n:
f(n) = 4n
Finally, you can plug 7 into this function:
f(n) = 4(7)
f(n) = 28, so the 7th term is 28
Determine if two triangles are congruent. If they are, state how you know.
A: SSS
B: SAS
C: HL
D: AAS
help me ASAP please!:(
Answers
because the two triangles show that all three sides are congruent.
You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use. Cups of sugar \dfrac13 3 1 start fraction, 1, divided by, 3, end fraction 111 333 Packets of lemonade mix 111 333 999 Is the amount of sugar you need proportional to the amount of lemonade mix you use?
Answers
Answer:
Yes, the amount of sugar you need proportional to the amount of lemonade mix you use.
Step-by-step explanation:
You are making lemonade. The amount of sugar you need depends on the amount of lemonade mix you use. Cups of sugar
1/3
1
3
Packets of lemonade mix
1
3
9
Is the amount of sugar you need proportional to the amount of lemonade mix you use?
Cups of sugar ∝ Number of packets
C ∝ N
C = k/N
k = C/N
a) For
1/3 cups of sugar and 1 packet of Lemonade mix
1/3 ∝ 1
1/3 = 1k
k = 1/3/1
k = 1/3
b) For
1 cups of sugar and 3 packets of Lemonade mix
1 ∝ 3
1 = 3k
k = 1/3
k = 1/3
c) For
3 cups of sugar and 9 packets of Lemonade mix
3 ∝ 9
3= 9k
k = 3/9
k = 1/3
Therefore, Yes, the amount of sugar you need proportional to the amount of lemonade mix you use. This is because the value is k is the same
Answer:
yes
Step-by-step explanation:
Richard's mom gave him $25.00 on Monday morning to use on lunches. At his school, the school lunch costs $1.50, which he bought Monday through Thursday. On Friday, he decided to buy 3 slices of pizza instead of buying the school lunch. If the pizza costs $1.40 per slice, then how much of the money is left at the end of the school week?
Answers
Answer:
Lfjbefibqeuifbiw
Step-by-step explanation:
d sdf sjfjs
I need help in the answer it’s math
Answers
E
Step-by-step explanation:
lolkyuhgt5jjnnnnnnneeeee
hiii please help i’ll give brainliest thanks
Answers
Answer:
0
Step-by-step explanation:
Welcome To Brainly!
Evaluate using PEMDAS
Parenthesis - None
Exponents 2^3
2x2 = 4
4x2 =8
now we have
72/9 - 1 x 8
Multiplication and Division
Going left to right
72/9=8
-1x8=-8
now we have 8 - 8
our last step is to subtract
8 - 8 = 0
the answer is 0
Use the simple interest formula to find the interest earned and the ending balance. I = Prt
1. $270 at 9% for 3 years
Answers
Answer:
$72.90 is the interest earned
Step-by-step explanation:
The appropriate formula is i = prt, where r is the annual interest rate expressed as a decimal fraction.
Here, i = ($270)(0.09)(3 yr) = $72.90 is the interest earned
I really need help...Will mark brainiest
Answers
Answer:
89999
Step-by-step explanation:
You deposit $400 in an account . The account earns $ 16 simple interest in years . What is the annual interest rate? year
Answers
Answer:
The correct answer is 25.
Step-by-step explanation:
deposit- 400
interest- 16
Rate= deposit divided by interest
400 divided by 16 = 25
solve for x
4x=30
give your answer as an improper fraction in its simplest form
Answers
Answer:
x=15/2Step-by-step explanation:
given:-4x=304x/4=30/4x=7.5 when we convert to improper fraction=75/10=15/2Is it the first one the second one the third one the fourth one ??not to be rude but please hurry !!! 20 points !!!
Answers
Answer:
5/6 ÷ 1/12 = 10
Step-by-step explanation:
5/6 ÷ 1/12 = 5/6 x 12/1 = 60/6 = 10
Proof:
5/6 tank = 10/12 tank
If each trip takes 1/12 tank, then 10 ÷ 1 = 10 trips
Given the vertex form of a parabola
Answers
Solve for k:
k over 6.12 = 8.7
1. k = 53.244
2. k = 1.42
3. k = 2.58
Answers
Answer:
1. k=53.244 or k=13311/250
Jamil has $62.67 in his saving account. His grandma gave him $5.00 for mowing the lawn and $.75 for taking out the garbage. How much money does Jamil have altogether?
Answers
Workup in photo below
The Bower family and the Jones family went to a restaurant and ordered food.
• Each burger cost the same, and each drink cost the same.
• The Bowers ordered 3 burgers and 2 drinks for a total of $13.50.
• The Joneses ordered 5 burgers and 4 drinks for a total of $23.50.
Which system of equations can be used to determine the cost of each burger, m, and each drink, p?
Answers
Answer:
right now in Bonny
Step-by-step explanation:
am so sorry for your prayers
hope it helps
PLEASE PLEASE HELP!!!!
Answers
Answer:
I think acute
Step-by-step explanation:
2 EASY QUESTIONS HELP
Answers
Answer:
what are the questions
Step-by-step explanation:
what is the question
The total cost of a pair of shoes and a hoodie is $150 the hoodie cost $100 more than the pair of shoes how much does each item cost?
Answers
x = y + 100
2y + 100 = 150
2y = 50
y = 25
shoes are 25 hoodie is 125
Answer:
shoes = $25
hoodie = $125
Step-by-step explanation:
total cost = $150
hoodie = x + 100
shoes = x
x + x + 100 = 150
2x = 150 - 100
x = 50/2
x = 25
shoes = $25
hoodie = $125
add them up and u get the price of the shoe 125+25= $150
Mrs. Squire had her class share some of the things they did over summer break. The scatter plot below shows the number of books students read and the number of days they went swimming. Which best describes the type of association shown in this scatter plot?
Answers
Answer:
Step-by-step explanation:
1. By what factor did the medicine decrease in the first hour and a half? Explain how you know.
Answers
Answer:
4/9
Step-by-step explanation:
At t = 0 ; volume = 270
At t = 1.5 ; volume = 80
y = P(1 - r)^t
y =ab^x (exponential)
a = initial amout at t = 0
y = final amount
t = 1.5
80 = 270b^t
80/270 = b^t
8/27 = b^1.5
8/27 = b^3/2
b^3/2*2/3 = (8/27)^2/3
Cube root of 8/27 = 2/3
Square of 2/3 = (2/3)^2 = 4/9
Write the following expression using symbolic language.
1) Five less than the product of seven and a number x
2) The difference of nine times a number y and eighteen
3) Half a number n increased by four times the number
4) Twice the sum of a number w cubed and twenty-three
Answers
Answer:
1) 7x - 5 2) 9y - 18 3) 0.5n + 4n 4) 2(w³+23) Step-by-step explanation:1)
The product of seven and a number x: 7·x = 7x
Five less than the product of seven and a number x:
7x - 52)
nine times a number y: 9·y = 9y
The difference of nine times a number y and eighteen:
9y - 183)
half a number n: 0.5n
four times the number: 4·n = 4n
Half a number n increased by four times the number:
0.5n + 4n4)
a number w cubed: w³
the sum of a number w cubed and twenty-three: w³+23
Twice the sum of a number w cubed and twenty-three:
2(w³+23)
HELP!!! Will give brainliest:) What shapes have all sides that are congruent?
Answers
Answer:
A square has all sides congruent. SIDE A, B, C and D would be congruent in size to one another, and the angles would also be equal to one another. However, most any polygon can be drawn with all sides and angles equal. For instance, an equilateral triangle has all sides and all angles equal, and that is the definition of a polygon. Polygons with more sides are described as "regular" e.g., a stop sign or an equilateral octagon is also a shape that has all sides congruent. A rectangle, however, would not, since only two sides would be congruent to one another.
( I hope this was helpful) >;D
Find the interest
earned:
$26,000 for 36 months
at 7.5% annual
compound interest
Answers
Answer:
Interest = $6,300 (Approx.)
Step-by-step explanation:
Given:
Amount deposit (P) = $26,000
Number of month = 36 month
Number of year (n) = 36 / 12 = 3 year
Rate of interest (r) = 7.5% = 0.075
Find:
Interest earned
Computation:
Interest = p[(1+r)ⁿ-1]
Interest = 26,000[(1+0.075)³-1]
Interest = 26,000[(1.075)³-1]
Interest = 6,299.71
Interest = $6,300 (Approx.)
If a printer can print 68 lines in per minute how many lines can it print in an hour? (hint: 1 hour=60 minutes)
Answers
Answer:
4080
Step-by-step explanation:
You are just multiplying 68 x 60= 4080
A grocer wants to mix two kinds of coffee. One kind sells for $1.00 per pound, and the other sells for $2.55 per pound. He wants to mix a total of 28 pounds and sell it for $1.35 per pound. How many pounds of each kind should he use in the new mix? (Round off the answers to the nearest hundredth.)
Answers
6.32 of the expensive coffee
Josiah had 128 toy cars. If he organizes them into groups of 7 , how many cars will be in the final group?
Answers
Answer:
2
Step-by-step explanation:
128divided by 7 = 126
Find the volume of a right circular cone that has a height of 2.7 ft and a base with a diameter of 14.4 ft. Round your answer to the nearest tenth of a cubic foot.
Answers
Answer:
20.4 cubic feet
Step-by-step explanation:
formula for the volume of a cone is (r^2xhxpi)/3
so, r= 14.4/2
(7.2x2.7xpi)/3
The volume of a right circular cone is 146.49 cubic foot.
What is the volume of a right circular cone?The Volume of Right Circular Cone formula is defined as The volume of a cone is one-third of the product of the area of the base and the height of the cone.
The volume of a right circular cone is given by;
[tex]\rm Volume=\dfrac{1}{3}\pi r^h\\\\r = radius, \ h = height\\[/tex]
The volume of a right circular cone that has a height of 2.7 ft and a base with a diameter of 14.4 ft.
The radius of the cone is;
[tex]\rm Radius=\dfrac{diameter}{2}\\\\ Radius=\dfrac{14.4}{2}\\\\ Radius=7.2[/tex]
The volume of a right circular cone is;
[tex]\rm Volume=\dfrac{1}{3}\pi r^h\\\\ Volume=\dfrac{1}{3}\times 3.14 \times (7.2)^2\times 2.7\\\\Volume=146.49[/tex]
Hence, the volume of a right circular cone is 146.49 cubic foot.
Learn more about circular cone here;
https://brainly.com/question/14735698
#SPJ2
Nine times the sum of a number and 2 is 8. Use the variable x for the unknown number