Mathematics High School

A sample of n = 22 is taken and the sample mean is =35 and a sample standard deviation of s= 9.38. Construct a 95% confidence interval for the true mean, µ.
(33, 37)
(31.56, 38.44)
(30.84, 39.16)
(25.62, 44.38)

Answers

Answer 1

The answer is (B) (31.56, 38.44) which means we are 95% confident that the true population mean lies between 31.56 and 38.44.

The 95% confidence interval for the population mean, µ, is given by:

CI =  ± tα/2 * (s/√n)

where  is the sample mean, s is the sample standard deviation, n is the sample size, and tα/2 is the t-value with (n-1) degrees of freedom at the α/2 level of significance.

Here,  = 35, s = 9.38, and n = 22. From the t-distribution table with (n-1) = 21 degrees of freedom and a 95% confidence level, we have tα/2 = 2.08.

Plugging in the values, we get:

CI = 35 ± 2.08 * (9.38/√22)

= (31.56, 38.44)

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Related Questions

find the value of X ​

Answers

your answer would be X equals 50.6cm

Answer:

x = 50.6 cm

Step-by-step explanation:

ΔMAB ≈ ΔNMP

set up a proportion:  MA / MN = MB / MP

MA = 46.2 - 14

MA = 32.2

32.2 / 46.2 = x / 72.6

cross-multiply:

46.2x = 2337.72

x = 50.6

Complete the statement. Round to the nearest hundredth if necessary.

9.2 in. ≈
cm

Answers

9514 1404 393

Answer:

  23.37 cm

Step-by-step explanation:

1 inch is 2.54 cm, so 9.2 inches is ...

  (9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm

-5 = x - 5
Solve the following equation

Answers

Answer:

0

Step-by-step explanation:

HELP ASAP WILL GIVE BRAINLEST TO CORRECT ANSWER

What is the circumference of a circle with a diameter of 3 feet? Use 3.14 for pi



diameter = 3 ft


A. 4.71 ft
B. 9.42 ft
C. 18.84 ft
D. 7.07 ft​

Answers

Circumference = Pi x diameter

Circumference = 3.14 x 3 feet

Circumference = 9.42 feet.

The answer is B. 9.42 feet

Please help with 3 thank you!

Answers

Answer:

Step-by-step explanation:

Please Answer and Explain Thanks

The equation y+4x=100 represents your distance y (in meters) from the
finish line x seconds after you begin your leg of a relay race. The equation
y+3.8x=96 represents your opponent’s distance from the finish line.
How far do you need to run until you catch up to your opponent?

Answers

I have no skins to one game but it crashes when you


Write an equation of a line perpendicular to x = -7 and passes through the
point (4,9).

Answers

Answer:

y = 9

Step-by-step explanation:

The line x = -7 is a vertical line, so the perpendicular line will be horizontal.

Horizontal lines have a slope of 0.

Using this slope and the point given, plug them into y = mx + b to solve for b and create the equation

y = mx + b

9 = 0(4) + b

9 = b

Plug this and the slope into the equation:

y = mx + b

y = 0x + b

y = 9

So, y = 9 is the equation

Simplify: 2m – 6 ≤ 18.
Group of answer choices

m ≥ 6

m ≤ 12

m ≤ 6

m ≥ 12

Answers

Answer:

D. m≥12

Step-by-step explanation:

You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.

Answer:

The answer is D.

Step-by-step explanation:

~Hoped this helped~

452% as a decimal and as a fraction in simplest form

Answers

Answer:

decimal form: 4.52

fraction: 4 13/25

Step-by-step explanation:

Answer:

Decimal 4.52

Fraction 4  13/25

What is the sum? Question 1 of 60

Answers

Answer:

A

Step-by-step explanation:

2+3=5 and if you add 1 to 7 you get 8 and that would make a whole and whole is 1 so you add 1 to 5

Answer:

2 1/8 + 3 7/8 = 6

A. 6

Step-by-step explanation:

2 + 3 = 5

1/8 + 7/8 = 8/8

8/8 = 1 whole

5 + 1 = 6

HOPE THIS HELPS!!!!!

joão has 7 apples if he gives joana 3 and matilde 4 how many did he have?

Answers

He had 7 and now he has 0.

please help me I will mark your brainiest !!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

The right answer is D, "n" can be any value greater than 2

Step-by-step explanation:

If variable "n" was any value less than or equal to 2, then the inequality would be less than or equal to 16, which isn't valid. So "n" has to be any value greater than 2.

which of the expressions bellow is equal to -3x - 39

Answers

Answer:

117

(-3) × (-39) = 117

Step-by-step explanation:

hope it helps!

Examine the following table.

Does this table represent a probability distribution?
Explain your answer.

a. Yes, because the sum of the probabilites is less than one.

b. Yes, because the sum of the probabilities is more than one.

C. No, because the sum of the probabilities is more than one.

d. No, because the sum of the probabilities is less than one.

Answers

Answer:

the answer is c

Step-by-step explanation:

edge 2020

The correct option is (C). No, because the sum of the probabilities is more than one.

What is probability distribution

In mathematics, a probability distribution is a function that expresses the likelihood of many possible values for a variable. Graphs and probability tables are common ways of displaying probability distributions.

In the given table, the probabilities are,

P(x) = 0.2, 0.3, 0.4, 0.1 and 0.05.

The sum of the probabilities = 0.2 + 0.3 + 0.4 + 0.1 + 0.05

                                                = 1.05

Since, the sum of the probabilities is more than one, therefore, the table does not represent the probability distribution.

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What are the solutions of the quadratic equation below?
x²-4x-6=0​

Answers

Answer: x=2±√10 or x=5.16227766

Step-by-step explanation:

Tina and Lane share a 16-ounce box of cereal. By the end of the week, Tina has eaten 3/8 of the box, and Lane has eaten 1/4 of the box of cereal. How many ounces are left in the box?

Answers

Answer:6 ounce of cereal are left in  the box

Step-by-step explanation:

Total amount of cereal = 16 ounce

Amount of cereal eaten by Tina= 3/8 X16= 6ounce

Amount of cereal eaten by Lane= 1/4 X16= 4ounce

Amount of cereal left = Total amount of cereal -Amount of cereal eaten by Tina and Lane

=16- ( 6+4)

16-10

= 6 ounce of cereal remaining

The value of C has to be Greater than 0.65

Answers

Answer:

1.3

Step-by-step explanation:

1. .65 = .5c ---> .65/.5

2. 1.3 = c

Trap spacing measurements​ (in meters) for a sample of seven teams of red spiny lobster fishermen are provided. Let represent the average of the trap spacing measurements for the population of red spiny lobster fishermen fishing in a particular region. The mean and standard deviation of the sample measurements were previously computed to be x=89.4, and s=11.4 meters respectively. Suppose the fishermen want to determine if the true value of differs from 95 meters

Answers

Look up on connect for the answer

What part of an hour elapses from 3:12 PM to 5:30 PM?

Answers

Answer:

3:18

Step-by-step explanation:

From 3:12 PM to 5:12 PM it's 3 hours.

From 5:12 PM to 5:30 PM it's 18 minutes.

Total elapsed time: 3:18

I don't know why the question asks "what part of an hour" when the answer is more than 3 hours.

anyone knows this?!!?

Answers

Answer:

is that just 1/2 lol i think but if u want add me on disc Andreww#6506

Step-by-step explanation:

What is X?
in decimal form plz

Answers

X should theoretically = 8.8 if you do the Pythagorean theorem.
6^2 + 4.2^2 = x^2
x = 7.3
Then go to the next triangle to find the missing length:
7.3^2 + 5^2 = x^
x = 8.8

Johnisha paid $144 for 36 ice cream cones. She incorrectly calculates the cost per cone
to be $0.25 each.
Which statement identifies the error Johnisha most likely made in determining the cost per
cone and describes the correct method for determining the cost per cone?

Answers

answer: per cone is 4$
144/36=4

i will give brianlist

Answers

Answer:

Hello! :) have a good day!

(10x+6)4 = 40x +24

Calculate the slope of the line on the graph using the formula: m=y2-y1/x2-x1
The slope of the line is __ m/s

Answers

The slope is 4 m/s
Hope this helps

Answer:

4 m/s

Step-by-step explanation:

lee el texto y sustituye las palabras resaltadas por frases adverbiales que expresen temporalidad​

Answers

Answer:

............. ahi esta la respuesta

7/10 - ___ + 3/2 = 6/5 ??????
Help me please

Answers

Answer:

1

Step-by-step explanation:

make all fraction have the same denominator:

7/10 - x + 15/10 = 12/10

isolate x: 12/10 - 7/10 - 15/10 ---> -x = -10/10

divide by 1 x = 10/10 or 1

x = 1

Answer:

1

Step-by-step explanation:

Let the no. be x

7/10-x+3/2=6/5

-x=6/5-3/2-7/10

-x=-10/10

-x=-1

x=1

Hope it helps

Please help ASAP! giving 100 points Use a decimal number to describe the shaded amount.



0.2
0.5
0.05
0.15

Answers

Answer:

B. 0.5

Step-by-step explanation:

There are 10 circles in total. 5 are shaded in.

We would make that a fraction.

5/10

Then we would convert it to a percent

50%

Then we will convert it to a decimal

0.5

Therefore, your answer would be B. 0.5

Write the vertex form of the quadratic equation.
y=x – 6x + 5

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

y= (x-3)^2 -4

Step-by-step explanation:

which number is greater tha 9/4​

Answers

Answer:

9

Step-by-step explanation:

the biggest number gets eaten by the alligator

One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram

Answers

Answer:

72, 72, 108, 108

Step-by-step explanation:

x, x, x+36, x+36 =360

4x=288

x=72

so,  x=72, x=72, x=108, x=108

Answer:

72*, 72*, 108*, 108*

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