In a sample of 41 temperature readings taken from the freezer of a restaurant, the mean is 29.7 degrees and the population standard deviation is 2.7 degrees. What would be the 80% confidence interval for the temperatures in the freezer?

Answers

Answer 1

Answer: [tex]=(29.1596\text{ degrees},\ 30.2404\text{ degrees})[/tex]

Step-by-step explanation:

Given: Sample size: n = 41

Sample mean [tex]\overline{x}= 29.7[/tex] degrees

Population standard deviation [tex]\sigma=2.7[/tex] degrees

Confidence level (c) =  80% =0.80

Significance level (a) = 1- c = 1-0.80 = 0.20

z-score for 80% confidence level : z = 1.2816   [from z-table]

Confidence level for population mean :-

[tex]\overline{x}\pm z\dfrac{\sigma}{\sqrt{n}}[/tex]

[tex]=29.7\pm ( 1.2816)\dfrac{2.7}{\sqrt{41}}[/tex]

[tex]=29.7\pm ( 1.2816)\dfrac{2.7}{6.403124}[/tex]

[tex]=29.7\pm ( 1.2816)(0.42167)[/tex]

[tex]=29.7\pm 0.5404[/tex]

[tex]=(29.7-0.5404,\ 29.7+0.5404)[/tex]

[tex]=(29.1596,\ 30.2404)[/tex]

Hence, 80% confidence interval for the temperatures in the freezer [tex]=(29.1596\text{ degrees},\ 30.2404\text{ degrees})[/tex]


Related Questions

Please help I keep on watching the vids but I’m not understanding

Answers

Answer:

3053.63 yd^3

Step-by-step explanation:

There is a formula to this, the formula goes,V=4/3πr^3, you subsitute, 9 in for r, cube "r", and do 9*3.14 or whatever you use for PI, and then you times that by 4/3.

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Answers

Answer:

Step-by-step explanation:

OwO

thx for the points I guess

I need help with this one please

Answers

Answer:

1. d) = g)

(3x - 2)(9x² + 6x + 4) = 27x³ - 8

2. e) = f)

(3x + 5) (3x - 4) = 9x² + 3x - 20

3. b) = h)

9x² - 24xy + 16y² = (3x - 4y)²

Step-by-step explanation:

From the above question, we are to find the pairs through expansion or factorisation

a) (3x + 2)(9x² - 6x + 4)

b) 9x² - 24xy + 16y²

c) (4x - 3y)²

d) (3x - 2)(9x² + 6x + 4)

e) (3x + 5) (3x - 4)

f) 9x² + 3x - 20

g) 27x³ - 8

h) (3x - 4y)²

a) (3x + 2)(9x² - 6x + 4)

We expand.

3x(9x² - 6x + 4) + 2(9x² - 6x + 4)

27x³ - 18x² + 12x + 18x² - 12x + 8

27x³ - 18x² + 18x² + 12x - 12x + 8

= 27x³ + 8

c) (4x - 3y)²

We expand

(4x - 3y) (4x - 3y)

4x(4x - 3y) - 3y ( 4x - 3y)

16x² - 12xy - 12xy + 9y²

16x² - 24xy + 9y²

d) (3x - 2)(9x² + 6x + 4)

We expand

3x(9x² + 6x + 4) - 2(9x² + 6x + 4)

27x³ + 18x² + 12x - 18x² - 12x - 8

27x³ - 18x² + 18x² + 12x - 12x - 8

= 27x³- 8

e) (3x + 5) (3x - 4)

We expand

3x(3x- 4) +5(3x - 4)

9x² - 12x + 15x - 20

9x² +3x - 20

h) (3x - 4y)²

We expand

(3x - 4y) ( 3x - 4y)

3x(3x - 4y) -4y(3x - 4y)

9x² - 12xy - 12xy - 16y²

9x² - 24xy - 16y²

Hence:

1. d) = g)

(3x - 2)(9x² + 6x + 4) = 27x³ - 8

2. e) = f)

(3x + 5) (3x - 4) = 9x² + 3x - 20

3) b) = h)

9x² - 24xy + 16y² = (3x - 4y)²

Please solve and explain the two problems.

Answers

Answer/Step-by-step explanation:

If two triangles are similar, their corresponding angles would be of equal measure of degree.

8. The 3rd angle of the smaller ∆ is x = 76°, while that of the larger ∆ is y = 44°. As we can see, the corresponding angles of both ∆s are not congruent or equal to each other. Therefore they ARE NOT SIMILAR.

9. x = 43°, while y = 106°.

Both triangles have corresponding angles that are congruent to each other.

Therefore, both triangles ARE SIMILAR.

i will give you brainliest and give you 50 point if you help me

Answers

Answer:

10:16

Step-by-step explanation:

If there are 16 total animals and 10 of them are racoons, then 6 are squirrels which makes them 10:6 ratio.

(BTW I LOVE UR BAKUGOU PFP)

Answer:

the answer will be 10:16

Step-by-step explanation:

Mr. Dey took out Rs.5000 from his bank. He took 40 notes of 50 Rupees each and the remaining amount in 20 Rupees notes. How many 20 Rupees notes did he take? *

Answers

Answer:

150

Step-by-step explanation:

Start with Rs.5000.

40 notes of 50 Rupees each = 40 * Rs.50 = Rs.2000

Rs.5000 - Rs.2000 = Rs.3000

He took Rs.3000 in 20 Rupees notes.

Rs.3000/Rs.20 = 150

Answer: He took 150 20-Rupee notes

Answer:

150

Step-by-step explanation:

We know that he took out Rs.5000 from the bank and that he took 40 of the 50 Rupees notes. We have to subtract to find the amount he took in 20 Rupees notes and then divide by 20 to find the number. 40*50 = 2000 and 5000 - 2000 = 3000. After that, 3000/20 = 150, so that means that Mr. Dey took out 150 notes of 20 rupees.

Which expression is a possible leading term for the polynomial function graphed below?
8
4
2
2
0.48
O _4,5
O4x5
o 4x

Answers

Answer:

Answer is (A) -4x^8

Step-by-step explanation:

Solve this 40 pointsssss

Answers

Answer:

2

Step-by-step explanation:

Answer:

6 because the pattern on the 3 rows is remove 1 on each of the starting and end point of the pattern, therefore, 6 for the 4th row, 4 for the 5th row 2 for the last row

The ratio of apples to oranges in the fruit bowl is 1: 9 in the small bowl. If the extra large bowl has 40 fruit in total. How many are oranges?​

Answers

there will be 36 oranges and 4 apples but you only need oranges so it would be 36

how much is left from 50 after buying 3 books at $
12.65 each​

Answers

Answer:$12.05

Step-by-step explanation:

12.65*3=$37.95

$50-$37.95=$12.05

PLEAS HELP ME!!!!!!!!!!!!!!!!Use a unit rate to find the unknown value.
52/13, 12/?

Answers

Answer:

1. 40/8 = 45/9

2. 42/14 = 15/5

3. 14/2 = 56/8

4. 8/4 = 26/13

Step-by-step explanation:

how can you isolate the varible f

Answers

to isolate a variable you have to “do something to both sides”. i dont know your equation. but you either have to add, subtract, multiply or divide

Answer:

Step-by-step explanation:

The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.

simplify the problem:
-4/5+3/10

Answers

Answer:

-1/2

Lcd=10

-4x2/5x2+3/10

​10

​8

​​ +

​10

​3

​​

−8+3/10

-5/10

-1/2

​​

pleas help u get 16 points and brainy. find the area

Answers

Answer:

153 in²

Step-by-step explanation:

first look at yellow area, then red area, then green area.

48 + 50 + 55 = 105 + 48 = 153 in²

hope this helps ^-^

Please help me with this problem​

Answers

G=10. That’s the answer hopefully u get it right

1. $5,876 are distributed equally among 26 men. How much money will each person get?

Answers

Answer:

226

Step-by-step explanation:

Since the total is $5,876 you want to divide by the number of people 26 to equally split the money.

$5,876/26=226

find x using the ratio of the sides 12 cm and 16cm​

Answers

Answer:

the ratio of the following x is 3/4

n a science experiment, the initial temperature was 55 degrees Fahrenheit, and each hour after, the temperature dropped by 4 degrees. Which expression represents the temperature, in degrees Fahrenheit, after t hours?

Answers

Answer:

f(t) = 55 = 4t

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

By multiplying all x values by a -, you are reflecting across the y axis

give thanks by clicking heart :)

the equation d= 2/5 t describes the distance d, in yards, an object travels in t minutes. How long does it take the object to travel 1 4/5 yards?

Answers

Answer:

t = 4.5

Step-by-step explanation:

1.8 = 0.4(t) solve for t

-5 1/4 - (-7 1/2) Simplify, help asap

Answers

Answer:

2 1/4

Step-by-step explanation:

Answer:

2.25

Step-by-step explanation:

1/3 x (21.69 – 24.99)

Answers

Answer:

I think it might be 0.30

Step-by-step explanation:

Evaluate if a = 6, b = 2, c = 9, & d = 3

Answers

Answer:

12

Step-by-step explanation:

a2 b

(    )2 (  )

(–2)2 (3)

(4)(3)

Antonio completed the right column of the table to help him find the sum of 2/9 and 1/5.

Answers

Answer:

Step 1 is the first error

Step-by-step explanation:

Given

[tex]\frac{2}{9} + \frac{1}{5}[/tex]

Required

Which step contains the first error?

From the attachment, the first step is the first error.

This is so because the fractions can not be written as a fraction with a denominator of 14

Solving further:

[tex]\frac{2}{9} + \frac{1}{5}[/tex]

Find Common Denominator 45

[tex]\frac{2*5}{9*5} + \frac{1*9}{5*9}[/tex]

[tex]\frac{10}{45} + \frac{9}{45}[/tex]

Add:

[tex]\frac{10 + 9}{45}[/tex]

[tex]\frac{19}{45}[/tex]

Describe how to find the inverse of the function.
To find the inverse of the function, change f(x) to y, switch and y, and solve for . The resulting function can be written as , where .

Answers

1st box: x

2nd box: y

3rd box: 3

4th box: 0

A researcher wants to know how business owners in her state feel about employee healthcare coverage. She obtains a list of 2386 business owners in her state, selects 800 of them at random, and emails a questionnaire to them. 171 questionnaires are returned Of these, 77% stated that they believe that the current employee healthcare coverage mandate needs to be completely overhauled. Classify the following groups as the population or the sample for this particular study. If a group does not belong in either category, leave it unplaced. Population Sample Answer Bank the 171 business owners who returned the questionnaire the proportion of all business owners in he researchers state who believe hat he curren en o ee he care c еґа e mandate eeds to be completely overhauled all business owners in the researcher's state all business owners the 800 business owners who were randomly chosen the 2386 business owners whose names were obtained the 77% who stated that the current employee healthcare coverage mandate needs to be completely overhauled

Answers

Answer:

Classification of groups as the population or the sample:

Population:

the 2386 business owners whose names were obtained

Sample:

the 800 business owners who were randomly chosen

Step-by-step explanation:

The population in research is the comprehensive group with common characteristics, which the researcher is interested in studying.  The sample is a subset or a representative of the common group, which the researcher selects to study.  The sample is, therefore, a part of the population.

an art teacher has a total of 7/8 pounds of clay .the teacher puts 1/16 of clay at each station .how many stations would there be .

Answers

Answer:

i think there would be 14  stations

Step-by-step explanation:

sorry f i am wrong

i did 7/8/ 1/16

7/8 * 16/1 =14

Answer:

14

Step-by-step explanation:

7/8 divided by 1/16 becomes 7/8 multiplied by 1/16, which equals 14

Which expression is equivalent to
2.2

2.5
2.2−2.5?
A
2.5−2.22.5−2.2
B
2.2+2.52.2+2.5
C
2.2+(−2.5)2.2+(

2.5)
D
2.2−(−2.5)2.2−(

2.5)

Answers

Answer:

The answer is = A

Step-by-step explanation:

Hope it's answer you plz mark as Brainlist

Two adjacent sides of a parallelogram are 7cm and 10cm respectively.Find its perimeter​

Answers

Answer:

Step-by-step explanation:

Perimeter=2(10+7)

=2(17)

=34cm

which list orders the number from least to greatest​

Answers

Answer:

Option C

-5, -2, 1, 3

Step-by-step explanation:

to get the list that orders the numbers from the least to the greatest, we need to, first of all, know the smallest and the largest numbers.

The largest number is easy to guess - it is undoubtedly 3.

However, the smallest number may be a bit tricky because we are dealing with negative numbers. When dealing with negative numbers, the numbers with greater magnitudes are actually smaller. This means that -5 is less than -3, which is less than -2, and so on.

Coming back to our question, we can now order the numbers as -5, -2, 1, 3 which is option C

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