In Buenos Aires, the average daily high temperature temperature in a year is reported to be 18.2^{\circ}\text{C}18.2 ∘ C18, point, 2, degrees, start text, C, end text. Catalina believes that last year was warmer than usual. In order to test her belief, she takes a simple random sample of 202020 days from last year, and records the daily high temperature on each chosen day. She finds that the sample mean temperature is 19.1^{\circ}\text{C}19.1 ∘ C19, point, 1, degrees, start text, C, end text and the sample standard deviation is 7.9^{\circ}\text{C}7.9 ∘ C7, point, 9, degrees, start text, C, end text. Catalina wants to use these sample data to conduct a ttt test on the mean. Assume that all conditions for inference have been met.

Answers

Answer 1

Answer:

H  0

​ :μ=18.2  ∘  C

H  a

 :μ>18.2  ∘  C

Step-by-step explanation:

Khan............... The null hypothesis has a statement of equality, and the direction of alternative hypothesis (>)(>)left parenthesis, is greater than, right parenthesis matches her belief that last year was warmer.

Answer 2

The three conditions for hypothesis testing are approximately met, and the null hypothesis is that the population mean daily high temperature in Buenos Aires is 18.2∘C.

What is hypothesis testing?

Hypothesis Testing is a type of statistical analysis in which you put your assumptions about a population parameter to the test. It is used to estimate the relationship between 2 statistical variables.

here, we have,

The three conditions for hypothesis testing are approximately met based on the information given.

Null hypothesis (H0) is that the population mean daily high temperature in Buenos Aires is 18.2∘C. Alternative hypothesis (Ha) is that the population mean daily high temperature in Buenos Aires is greater.

The test statistic is calculated as (sample mean - population mean) / (sample standard deviation / sqrt(sample size)).

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the observed test statistic, assuming the null hypothesis is true. It can be calculated using a t-distribution with degrees of freedom equal to the sample size minus one.

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Related Questions

HURRY I GIVE BRAINLIEST AND EXTRA POINTS !!!!

what’s 11/3 =_

3 2/3
4
3
4 2/3

Answers

11/3 is equal to 3 2/3

What is the volume of this shape in terms of π (PI)?

Answers

Answer:

Step-by-step explanation:

1/3 bh=96 pi/3=32 pi

Answer:

[tex]\displaystyle V = 32\pi \ in^3[/tex]

General Formulas and Concepts:

Symbols

π (pi) ≈ 3.14

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Geometry

Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]

r is radiush is height

Step-by-step explanation:

Step 1: Define

Identify

r = 4 in

h = 6 in

Step 2: Find Volume

Substitute in variables [Volume of a Cone Formula]:                                    [tex]\displaystyle V = \frac{1}{3} \pi (4 \ in)^2(6 \ in)[/tex]Evaluate exponents:                                                                                         [tex]\displaystyle V = \frac{1}{3} \pi (16 \ in^2)(6 \ in)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = \frac{1}{3} \pi (96 \ in^3)[/tex]Multiply:                                                                                                             [tex]\displaystyle V = 32\pi \ in^3[/tex]

Please look at the image

Answers

Answer:

value for X

3x-4 =41

3x =41+4

3x =45

x =15

Help!!!!! Arrange the solutions of the mathematical expressions from least to greatest according to their values in scientific notation.

Answers

Answer:

3,4,2,5,1. youre welcome :)

The solutions of the mathematical expressions from least to greatest are,

0.0174, 0.03626, 0.0464, 4214, 316216.2

What is expression?

"It is a combination of numbers, variables, mathematical operations (such as addition, subtraction, multiplication or division etc.)"

What is exponent?

"It is a number that shows how many times another number is to be multiplied by itself"

Exponent formulas:

[tex]a^m\times a^n=a^{m+n}\\a^m\div a^n=a^{m-n}[/tex]

For given example,

We solve each expression using exponents formulas.

Consider the first expression,

[tex]\Rightarrow (4.3\times 10^6).(9.8\times 10^{-4})=42.14\times 10^(6-4)\\\\\Rightarrow (4.3\times 10^6).(9.8\times 10^{-4})=42.14\times 10^(2)\\\\\Rightarrow (4.3\times 10^6).(9.8\times 10^{-4})=\bold{4214}[/tex]...........................(1)

Consider the second expression,

[tex]\Rightarrow (2.9\times 10^7).(1.6\times 10^{-9})=4.64\times 10^{7-9}\\\\\Rightarrow (2.9\times 10^7).(1.6\times 10^{-9})=4.64\times 10^{-2}\\\\\Rightarrow (2.9\times 10^7).(1.6\times 10^{-9})=\bold{0.0464}[/tex]        .........................(2)

Consider the third expression,

[tex]\frac{(4.7\times 10^3).(8.6\times 10^{-7})}{(3.8\times 10^-4).(6.1\times 10^2)}\\\\ = \frac{40.42\times 10^{3-7}}{23.18\times 10^{-4+2}} \\\\= \frac{40.42\times 10^{-4}}{23.18\times 10^{-2}}\\\\=\frac{40.42}{23.18}\times 10^{-4+2} \\\\=1.74\times 10^{-2}\\\\=\bold{0.0174}[/tex]                                       .....................(3)

Consider the fourth expression,

[tex](4.9\times 10^3).(7.4\times 10^{-6})\\\\=36.26\times 10^{3-6}\\\\=36.26\times 10^{-3}\\\\=\bold{0.03626}[/tex]                              ....................................(4)

Now we solve the last expression,

[tex]\frac{(3.9\times 10^{5}).(8.7\times 10^{-3})}{(3.7\times 10^{-5}).(2.9\times 10^{8})}\\\\= \frac{(33.93\times 10^{5-3})}{(10.73\times 10^{-5+8})}\\\\= \frac{(33.93\times 10^{2})}{(10.73\times 10^{-3})}\\\\= \frac{33.93}{10.73}\times 10^{2+3}\\\\= 3.162162\times 10^5\\\\=\bold{316216.2}[/tex]                                        ..........................(5)

From (1), (2), (3), (4) and (5),

The solutions of the mathematical expressions from least to greatest would be,

0.0174, 0.03626, 0.0464, 4214, 316216.2

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The difference between twice a number and half that number is 30. What is the number?

Answers

Answer:

x=20

Step-by-step explanation:

Equation equals 2x-(1/2)x=30

Jess had these daily balances on his credit card for his last billing period. He did not pay the card in full the previous month, so he will have to pay a finance charge. The APR is 20.6%. What is the average daily balance? *
3 days- $2996.71
11 days- $3203.04
4 days $2331.98
13days- $3002.76

Answers

Answer: The answer is the second one

2x-y=-1 , 3x-y=2 solve by substition

Answers

Answer:

x = 3, y = 7

or (3,7)

Step-by-step explanation:

We are given the system of equations below:

[tex] \large{ \begin{cases} 2x - y = - 1 \\ 3x - y = 2 \end{cases}}[/tex]

We are required to solve the system by substitution method. What we have to do is to isolate either x-term or y-term so we can use the method. I will be isolating y-term because it is faster due to having 1 as a coefficient.

By isolating y-term, just pick one of the given equations to isolate. No need to isolate the whole system. (I will be isolating y-term of the first equation.)

[tex] \large{ \begin{cases} y= 2x + 1\\ 3x - y = 2 \end{cases}}[/tex]

Then we substitute y = 2x+1 in the second equation.

[tex] \large{3x - (2x + 1) = 2}[/tex]

Use the distribution property.

[tex] \large{3x - 2x - 1 = 2}[/tex]

Isolate x-term to solve the equation.

[tex] \large{x = 2 + 1} \\ \large{x = 3}[/tex]

Since we are solving a system of equations. We have to solve for both x-value and y-value to complete. We have already found x-value, but nor y-value yet. Therefore, our next step is to substitute the value of x that we solved in any given equations. It's recommended to substitute in an equation that doesn't have high coefficient value. So I will be substituting x = 3 in the first equation.

[tex] \large{2x - y = - 1} \\ \large{2(3) - y = - 1} \\ \large{6 - y = - 1}[/tex]

Isolate and solve for y-term.

[tex] \large{6 + 1 = y} \\ \large{7 = y} \\ \large{y = 7}[/tex]

Since we substitute x = 3 and get y = 7. We can write in ordered pairs as (3,7)

Hence, the solution is (3,7)

the axis of symmetry is

Answers

Answer:

x=-2

Step-by-step explanation:

The line between is the axis of symmetry, therefore the axis of symttetry is equal to -2.

If this helps please mark as brainliest

Question 7 of 10
The segments shown below could form a triangle.
В
4
9
11
B
O A. True
O B. False
SUBMIT

Answers

Answer:

Yes

Step-by-step explanation:

In a triangle the sum of two of its sides is major than the the other side

9+4 > 11

11 + 4 > 9

11 + 9 > 4

Zoey had 15 rocks.
she put them in 3
boxes. how many
were in each box?

Answers

Answer: 5

Step-by-step explanation:

For which triangle can you find the unknown value of the variable using the law of sines?

Answers

Answer:

B

Step-by-step explanation:

Answer:b

On edge.

Step-by-step explanation:

23 and 25
how do you do the work?
find the areas of each

Answers

9514 1404 393

Answer:

  23)  35.77 in²

  25)  48.19 cm²

Step-by-step explanation:

Use the appropriate area formula with the given information.

__

23) The area of a triangle is given by the formula ...

  A = 1/2bh . . . . . base b, height h

  A = 1/2(9.8 in)(7.3 in) = 35.77 in²

__

25) The area of a parallelogram is given by the formula ...

  A = bh . . . . . . base b, height h

  A = (7.9 cm)(6.1 cm) = 48.19 cm²

_____

The height in each figure is measured perpendicular to the base. This tells you that the length 10.6 cm of the diagonal side of the triangle is not relevant to finding the area.

Answer:

23) 35.77 in2

24) 48.19cm2

What is the missing term?

Answers

Answer:

- 15

Step-by-step explanation:

5 * -3 = -15

-15 is the answer for your question

Can someone help me really please

Answers

Answer:

b

Step-by-step explanation:

3/3 = 1

Answer:

C

Step-by-step explanation:

The data modeled by the box plots represent the battery life of two different brands of batteries that Mary tested. A) What is the median value of each data set? B) Compare the median values of the data sets. What does this comparison tell you in terms of the situation the data represents? ( Answer A and B) Will Mark Brainliest if correct answer.​

Answers

Answer:

X = 13 ; Y = 16

Median Y > Median X

Battery Y lasts longer and hence better than Battery X.

Step-by-step explanation:

From the box plot, median value is the point marked by the vertical line in between the box located between the whiskers.

Median :

Brand X = 13

Brand Y = 16

This median value depicts that, average battery life of brand X batteries is 13 hours while that of brand Y batteries is 16 hours ; Median value of Y is greater Than median value of X ;

This means Brand Y batteries lasts longer on average than Brand X batteries.

The sum of two consecutive odd numbers is twelve squared. What is the product of the two numbers​

Answers

Answer:

Step-by-step explanation:

let the numbers be 2x+1,2x+3

2x+1+2x+3=12²

4x+4=144

4x=144-4=140

x=35

so  numbers are 2×35+1=71

and 2×35+3=73

so numbers are 71,73

product=71×73=5183

Here is a pattern of squares. S represents the number of small squares in the pattern as a function
of n, the step number.
Which expression could define S?
Select the correct choice.

Answers

Answer:

hi there I am just emailing to confirm

Step-by-step explanation:

and then he said the same

and then he said

and then he said the same

Answer: the answer n^2+3

Step-by-step explanation:

If we attempt to create a square using the tiles that represent the algebraic expression x^2 +bx,

1. How many x-tiles would you add to the length of the x-square tile?

2. How many unit tiles would you need to complete the square?

Answers

I dont understand the question

In the map below, Side P Q is parallel to Side S T.

Triangle P Q R. Side P Q is 48 kilometers and side P R is 36 kilometers. Triangle S R T. Side R T is 81 kilometers.

What is the distance between S and T? If necessary, round to the nearest tenth.
21.3 km
60.8 km
108 km
117 km

answer C.

Answers

the 3rd choice 108 kilometers

Answer:

C.

Step-by-step explanation:

Please help me solve this problem

Answers

Answer:

90°

Step-by-step explanation:

It's simple, the angle of a line is 180°

∠EFG=90°

Line GD-∠EFG=180°-90°=90°

Please mark brainliest!

PLZ HELP

19 students were surveyed on the number of hours of Netflix they watched last week.

The data from the survey is below:

{0, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 6, 6, 10, 11}

What is the mode for this data?

Answers

Answer:

Step-by-step explanation:

Answer:

i think the answer is 4

hope this help?

me need help :(...........

Answers

Answer:

C

Step-by-step explanation:

-2+(-7) is basically -2-7.

This means that you go 7 units to the left of -2.

Answer:

Choice C.

Step-by-step explanation:

So the question -2 + (-7). Note that a negative cancels out a positive so it is,

-2-7

This would equal 9.

Since smaller numbers are futher to the left on the number line, it would be 7 to the left of -2, being Choice C.

what is a surface area of a juice box that is 4 inches high 3 inches long 2 inches wide​

Answers

Answer:

24inch^3

Step-by-step explanation:

i hope this helps

Suppose Bank One offers a certificate of deposit that pays $5,000 in four years for exchange for $4,000 today. What interest rate is Bank One offering?"

Answers

Answer:

Bank One is offering a simple interest rate of 6.25% per annum.

Step-by-step explanation:

Given that Bank One offers a certificate of deposit that pays $ 5,000 in four years for exchange for $ 4,000 today, to determine what interest rate is Bank One offering the following calculation must be performed:

(5000 - 4000) / 4 = X

1000/4 = X

250 = X

4000 = 100

250 = X

250 x 100/4000 = X

25000/4000 = X

6.25 = X

Therefore, Bank One is offering a simple interest rate of 6.25% per annum.

A radioactive isotope has a half-life of 15 hours. Find the amount of the isotope left from a 160-milligram sample after 90 hours. If necessary, round your answer to the nearest thousandth.

Answers

Answer:

2.5 milligrams

Step-by-step explanation:

the explination is attached I hope this helps!!

A 6-sided die with sides numbered 1 through 6 is tossed. A penny is then tossed. If the penny comes up heads, the value of the die is multiplied by 2. Otherwise, the value of the die is left unchanged.

What is the probability that the outcome is less than 6?

Answers

Answer:

The probability that the outcome is less than 6 is 58.333%.

Step-by-step explanation:

Since a 6-sided die with sides numbered 1 through 6 is tossed, ya penny is then tossed, and if the penny comes up heads, the value of the die is multiplied by 2, but otherwise, the value of the die is left unchanged, to determine what is the probability that the outcome is less than 6 the following calculation must be performed:

(5/6 + 2/6) / 2 = X

(0.8333 + 0.0333) / 2 = X

1.1666666 / 2 = X

0.583333 = X

Therefore, the probability that the outcome is less than 6 is 58.333%.

Eight eagle stamps and two raccoon stamps cost $2.80. Three eagle stamps and four raccoon stamps cost $2.35. Find the cost of each kind of stamp

Show work please

Answers

Answer:

Cost of each eagle stamp = $0.25

Cost of each racoon stamp = $0.4

Step-by-step explanation:

Given:

Cost of 8 eagle stamp and 2 racoon stamp = $2.80

Cost of 3 eagle stamp and 4 racoon stamp = $2.35

Find:

Cost of each stamp

Computation:

Assume;

Cost of each eagle stamp = e

Cost of each racoon stamp = r

So,

8e + 2r = 2.80........... Eq 1

3e + 4r = 2.35 ........... Eq 2

Eq 1 x 2

16e + 4r = 5.6 .........Eq3

Eq 3 - Eq 2

13e = 3.25

e = 0.25

Cost of each eagle stamp = $0.25

8e + 2r = 2.80

8(0.25) + 2r = 2.80

2 + 2r = 2.80

r = 0.4

Cost of each racoon stamp = $0.4

1.Which of the following is NOT a true statement?
A.-5 > | 5 |
B.| -5 | = 5
C.| -5 | = | 5 |
D.| 5 | > -5

2.Look at the following numbers: -7, |-10|, |5|, |-2|, |-5|, -13. Which of the following statements is true?
A. -7 is to the right of |-10| on a number line oriented from left to right.
B. |-2| is to the left of |-5| on a number line oriented from left to right.
C. -7 is to the right of |-13| on a number line oriented from left to right.
D.|-5| is to the right of |-10| on a number line oriented from left to right.

3.Tamara received a credit of $25 at the yarn store. What amount can she spend using the credit?
A.$50
B.$40
C.$30
D.$20

Answers

9514 1404 393

Answer:

ABD

Step-by-step explanation:

1. The absolute value of a positive number is that number. The absolute value of a negative number is the same number with a positive sign. Your choices simplify to ...

  A.  -5 > 5 . . . . . false

  B.  5 = 5 . . . . true

  C.  5 = 5 . . . . true

  D.  5 > -5 . . . . true

__

2. The sequence of the numbers of interest on the number line is ...

  -7 < |-2| < |-5| < |-10| < |-13|

The true description is |-2| is left of |-5|.

__

3. If Tamara pays for her purchase using her credit, she can spend any amount less than or equal to her credit amount of $25.

Tamara can spend $20 using her credit.

Find the surface area of the regular pyramid.
9 ft
6 ft
Plsss help asap

Answers

Answer:144

Step-by-step explanation: I explained what to do in the comments.

Ethan has a spinner that is divided into 5 equal-size sections colored red, blue, orange, white, and green. What is the probability that Ethan spins pink on the next spin?

Answers

Answer:

0

Step-by-step explanation:

Pink isn't on the spinner, and so he doesn't have any chance of spinning it.

Answer:

00%

Step-by-step explanation:

There is no color pink in one of the sections, meaning there is zero probability it will land on pink.

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