A statistics teacher started class one day by drawing the names of 10 students out of a hat and asked them to do as many pushups as they could. The 10 randomly selected students averaged 15 pushups per person with a standard deviation of 9 pushups. Suppose the distribution of the population of number of pushups that can be done is approximately normal. The 95% confidence interval for the true mean number of pushups that can be done is _____.

Answers

Answer 1

Using the t-distribution, we have that the 95% confidence interval for the true mean number of pushups that can be done is (9, 21).

For this problem, we have the standard deviation for the sample, thus, the t-distribution is used.

The sample mean is of 15, thus [tex]\overline{x} = 15[/tex].The sample standard deviation is of 9, thus [tex]s = 9[/tex].The sample size is of 10, thus [tex]n = 10[/tex].

First, we find the number of degrees of freedom, which is the one less than the sample size, thus df = 9.

Then, looking at the t-table or using a calculator, we find the critical value for a 95% confidence interval, with 9 df, thus t = 2.2622.

The margin of error is of:

[tex]M = t\frac{s}{n}[/tex]

Then:

[tex]M = 2.2622\frac{9}{\sqrt{10}} = 6[/tex]

The confidence interval is:

[tex]\overline{x} \pm M[/tex]

Then

[tex]\overline{x} - M = 15 - 6 = 9[/tex]

[tex]\overline{x} + M = 15 + 6 = 21[/tex]

The confidence interval is (9, 21).

A similar problem is given at https://brainly.com/question/25157574


Related Questions

a new car increased in price from 78200 to 136850 what is the percentage increase

Answers

Answer:

The percentage increase is by 1.75

Step-by-step explanation:

78,200 x 1.75 = 136,850

Here's a question ~

can anyone give the explanation ?​

Answers

Answer:

See below

Step-by-step explanation:

As per the question we have:

The y - intercept is b = -1The slope has same angle with x- and y - axis.

This can be a function with the slope of m = 1 or m = - 1 as these lines must be perpendicular to each other and make 90°/2 = 45° or 45° + 90° = 135° angle with the x- or y- axis.

So the lines could be:

y = x - 1 ory = -x - 1

Lines must be perpendicular to each other as they are cutting at y intercept -1

Slope intercept form of line

for slope -1

y=-x-1

For slope 1

y=x-1

so far , a storm has traveled 35 miles in 1/2 hour. if its currently 5:00pm and the storm is 105 miles away from you , at what time will the storm reach you ? explain your answer

Answers

Answer:

hey do you want money if yes then tell me I will give you 1000$

jika abcd adalah jajar genjang dengan koordinat titik A(-2,-1). B(3,-1) dan C (5,3) maka koordinat titik d adalah
a. D (3,0)
b. D ( 2,3)
c. D (-4,3)
d. D (0,3)

jumlah bilangan genap antara 0 dengan 51
a. 100
b. 650
c. 2500
d. 98

jumlah bilangan genap kelipatan 3 antara 20 dengan 100 adalah
a. 78
b. 120
c. 780
d. 13​

Answers

1. D. (0,3)

2. B. 650

3. C. 780

Bener semua kok

semoga membantu.

kasi brainliest oi wkwkwk

Find f(x) if it is known that f(x-2)=2x-4

Answers

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

Need help! Solve for X on both

Answers

for the first question it is x=7. For the second equation it is x=3

Toby picks a 4-digit number.
It is larger than 2999 and it is a multiple of 2.
How many different numbers could he have picked?

Answers

Let’s reduce this question into easier terminology.

The number is a multiple of 2, meaning it is an even number. It is larger than 2,999 and less than 10,000 (since it is a 4 digit number).

Thus, Toby could have picked any even number from 3000 to 9,999. So this question is asking how many even numbers (multiples of 2) are between 3000 and 9,999.

For every thousand, there are 1000/2 = 500 multiples of 2:

500 multiples between 3,000 and 3,999

500 multiples between 4,000 and 4,999

and so on until 9,999. So there are

7*500 = 3500 multiples of 2 in this range.

Toby could have picked 3500 possible numbers.

PLEASE HELP complete the construction a perpendicular line to segment AB through point P.

Answers

Answer:

.

Step-by-step explanation:

sorry i can't help

A student from last year got an answer of 36 when asked to simplify the expression below. Identify the student’s mistake? Then solve it correctly.

`2+10\ \times\ 3`

Answers

2 + 10 x 3 ≠ 36
you have to do the multiplication first.
= 2 + (10 x 3)
= 2 + 30
= 32

hello
Michael cycled 15 km at an average speed of 18 km/h.
How many minutes did his journey take?

Answers

Answer:

50 minutes

Step-by-step explanation:

Amount of time his journey took = 15km ÷ 18km/h

                                                      = 0.833h (to 3sf)

                                                      = 50 minutes

A baker used 3kg of baking powder every for every 12kg of flour. if he used 180kg of flour for the Christmas season. how many kg of baking powder did he use in all. help now, please

Answers

Answer:

Step-by-step explanation:

12 kg of flour for 3 kg of baking powder

so 1 kg of flour = 3/12 or 1/4 of baking powder

180 kg of flour = [tex]\frac{1}{4}[/tex] × 180 kg of baking powder

= 45 kg of baking powder for 180 kg of flour

please give me a brainliest answer

Step-by-step explanation:

Step-by-step explanation:

12 kg of flour for 3 kg of baking powder

so 1 kg of flour = 3/12 or 1/4 of baking powder

180 kg of flour = 14\frac{1}{4}

4

1

× 180 kg of baking powder

= 45 kg of baking powder for 180 kg of flour

please give me a brainliest answer

Find the measures of a right triangle with one angle whose measure is 30

Answers

Answer:

The other measure is 60º

Step-by-step explanation:

a triangle= 180º total

a right triangle has one 90º angle

there is a 30º angle given

180-90=90

90-30=60

so 60º

I've tried everywhere to get this answerrrrr ill give brainliest for the correct answer mate!!

Answers

Answer:

list out some of the difference between Mendeleev periodic table modern periodic table plz give ans

PLEASE HELP what is the next term what is A in the sequence and what is the common ratio for 2 4 8 16 32

Answers

Answer:

The next term is 64, a is 2, and the common ratio is 2.

Step-by-step explanation:

Look at what's happening from each number to the next. What do you need to do to get from 2 to 4, or 4 to 8? Multiply by 2. That's your common ratio. To get the next number in the sequence, multiply the last number by the common ratio of 2. 32 x 2 = 64, so the next number in the sequence is 64. "a" is just the very first term, meaning it's 2.

A diver descends at an average speed of 10.4 m/min. Use rational numbers to write her depth after 3.6 min.

Answers

Answer: it’s just 2.89 there’s nothing else to it

Use the number line to help you decide which statement is true.
(A)
(B)
(C)

Answers

Answer:

I think it's (A). 5

I don't know

Answer:

5/8 > 1/2

Step-by-step explanation:

No need number line. Just use fraction walls

write the volume of a cylinder with a base radius 3 m and height 8 m in terms of pi


Show your work and leave your answer it terms of pi

Answers

Answer:

72π (in terms of pi)

Step-by-step explanation:

V = π·r²·h

Plug in the values.

V = π·3²·8

Solve.

V = 72π

To leave an equation in terms of pi, just square, multiply, and leave pi at the end.

3² = 9·8 = 72

72π

If you need the answer fully simplified, it is 226.19 (rounded up).

can someone please help me as soon as possible​

Answers

Answer:

a quadratic function is letter A

Jeff made 2 out of every 5 baskets he shot during basketball practice. If he took 25 shots, how many baskets did he make? You MUST show your proportion and work!

Answers

Answer:

30 many shoot basket did he make

Someone help plz make sure it’s right will make brainiest:)

Answers

Answer:

it's ether 1 or 2

cuz the slope is 1/3

Answer:

It is 2

Step-by-step explanation:

Which is y=1/3x + 10/3

tbh ive fogotten how to do all of these so plz helpppppppppp

Answers

Answer:

16.26°

Step-by-step explanation:

Start by labelling the given sides of a triangle as either adjacent, opposite or hypotenuse side.

• Adjacent side: side on which the right angle and angle of interest lie

• Opposite side: side facing the angle of interest

• Hypotenuse side: side facing the right angle

In this case, the side with '24' is the adjacent side while the side with '7' is the opposite side.

Given these two sides, we use tangent to find the unknown angle.

[tex]\boxed{ \tanθ = \frac{opp}{adj} }[/tex]

[tex] \tanθ = \frac{7}{24} [/tex]

Tasking the inverse of tangent on both sides:

[tex]θ = \tan^{ - 1} ( \frac{7}{24} ) [/tex]

θ= 16.260° (3 d.p.)

Thus, the second option is correct.

Notes:

[tex]\boxed{ \sinθ = \frac{opp}{hyp} }[/tex]

[tex]\boxed{ \cosθ = \frac{adj}{hyp} }[/tex]

four more than the quotient of a number and six. write in algebraic expression

Answers

Answer:

4+n/6 (the slash means a fraction with n on top.) <3

Step-by-step explanation:

PLEASE HELP!!

Josh works for MooMoo Milkshakes. The company wants to know what milkshake flavor is the most popular. Today, he surveyed
every third female customer on their favorite milkshake flavor. Eighteen customers
(out of 60 total) were surveyed, and 7 customers
prefer MooChooChocolate, 5 customers prefer VeryStrawberry, and 6 customers prefer BananaBoBanna.
What type of sampling is demonstrated in the situation above?

A. census

B. random sampling

C. negative sampling

D.convenience sampling

Answers

Answer: random sampling

Step-by-step explanation: Random sampling is where each member of the sample is randomly selected from the population. Since Josh chose every third female customer, he randomly chose the sample.

Answer:  B random sampling .

Step-by-step explanation:

hi pls help me thanksss
pls provide me with workings thankss :)​

Answers

Step-by-step explanation:

(i)

Using cos(a - b) = cos a cos b + sin a sin b

[tex]\frac{4}{5}[/tex] = cos a cos b + [tex]\frac{1}{5}[/tex]

cos a cos b = [tex]\frac{4}{5} -\frac{1}{5} = \frac{3}{5}[/tex]

(ii)

Using cos(a + b) = cos a cos b - sin a sin b

cos(a + b) = [tex]\frac{3}{5}-\frac{1}{5}=\frac{2}{5}[/tex]

(iii)

Using cot a = [tex]\frac{cos a}{sin a}[/tex]

[tex]=(\frac{cos A}{sin A} )(\frac{cos B}{sin B} )[/tex]

[tex]=\frac{cos A cos B}{sin A sin B}[/tex]

[tex]=\frac{\frac{3}{5} }{\frac{1}{5} }[/tex]  [tex]=\frac{3}{5}[/tex] × [tex]5[/tex]

= 3

please give me a brainliest answer

Confused ;-; please help me

Answers

Answer:

1)sss

2)asa

3)sas

Step-by-step explanation:

hope this helps

PLEASE HELP!!!!! You are given an isosceles trapezoid ABCD with median XY. Complete the following.
m

Answers

Lol give me a second

Which graph represents the piecewise-defined function f(x) = { -x + 4, 0 ≤ X< 3
6,
X ≥ 3

Answers

9514 1404 393

Answer:

  (d)

Step-by-step explanation:

The second line of the function is ...

  f(x) = 6, x ≥ 3

This tells you that portion of the graph is the horizontal line y = 6, extending to the right from x = 3, and that there will be a solid dot at (3, 6).

This shows only on the attached graph.

Answer:

4th graph

Step-by-step explanation:

Tu
Miguel measured the town library and made a scale drawing. The scale he used was
1 millimeter : 7 meters. The parking lot is 7 millimeters long in the drawing. How long is the
actual parking lot?

Answers

Answer:

The parking lot is actually 49 meters.

PLEASE HELP MEE!!! I WILL GIVE YOU THE BRAINLIEST

Answers

Answer:

Domain (-infinity, infinity) Range (-4, infinity)

Step-by-step explanation:

look at the x axis. the graph is going forever out, so infinity.

now look at the y axis. where does it stop? -4. you might need to use [ instead of ( when answering your problem (that just means including) hope this helps!

A company makes a profit of $1.38 million. This is $2.54 million more than last year. What was the profit last year?

The answer also asks for us to fill in the blank; "The profit last year was $__ million, so I need help filling in the blank.​

Answers

Answer:  -1.16

The "million" part is already taken care of by your teacher.  

====================================================

Explanation:

x = profit last year (millions of dollars)

x+2.54 = profit this year, which is 2.54 million more than last year

x+2.54 = 1.38

x = 1.38-2.54

x = -1.16

The profit last year was -1.16 million dollars

This is the same as writing -1,160,000 dollars of profit.

A negative profit indicates that the company lost money. This is when the company is spending more than what they earn (i.e. they are in some kind of debt).

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