The mean height of women in a country (ages 20 - 29) is 64.3 inches. A random sample of 65 women in this age group is selected. What is the probability that the mean height for the sample is greater than 65 inches? Assume o = 2.81. The probability that the mean height for the sample is greater than 65 inches is (Round to four decimal places as needed.) Enter your answer in the answer box and then click Check Answer. Clear All All parts showing e​

Answers

Answer 1

Answer:  0.4016

Step-by-step explanation:

Let x be a random variable that represents the height of women in a country.

Mean : [tex]\mu=64.3[/tex] inches

Sample size : n= 65

Standard deviation: [tex]\sigma=2.81[/tex]

The probability that the mean height for the sample is greater than 65 inches = [tex]P(x>65)=1-P(x<65)[/tex]

[tex]=1-P(\dfrac{x-\mu}{\sigma}<\dfrac{65-64.3}{2.81})\\\\= 1-P(z<0.2491)\\\\=1-0.5984\ \ \ \text{[By p-value table]}\\\\=0.4016[/tex]

Hence, the probability that the mean height for the sample is greater than 65 inches = 0.4016


Related Questions

plz help asap i will do brainliest!!! A car takes 4 hours to reach a destination travelling at the speed of 63 km/h. How long will it take to cover the same distance if the car travells at the speed of 56 km/h? Do these quantities (time and speed) vary directly or inversely? Find the constant of variation.

Answers

Answer:

A car takes 4 hours to reach a destination travelling at the speed of 63 km/h.

Speed = distance / time

Distance = speed × time

Distance it took the car, travelling for 4 hours to a destination at a speed of 63 kilometers per hour would be

4 × 63 = 252 kilometers.

if the car travels at a different speed of 56 kilometers per hour and the distance remains 252 kilometers, the time it takes will be

Time = distance / speed

= 252/56 = 4.5 hours

The time varies inversely with the speed. The more the speed, the lesser the time and the lesser the speed, the more the time.

Let speed = s and let time = t

s varies inversely with t

Introducing constant of inverse variation k, it becomes

s = k/t

When s = 56, t = 4.5

56 = k/4.5

k = 4.5 × 56 =252

This is the distance

Step-by-step explanation:

what is 10:40 plus 7:15 in time?​

Answers

Answer:

5:55

Step-by-step explanation:

just add it up and you'll get the answer which is 5:55

Answer:5:55

Step-by-step explanation: lol

An example of statistical inference is a. a population mean b. hypothesis testing c. calculating the size of a sample d. descriptive statistics

Answers

Answer:

B

Step-by-step explanation:

Statistical inference is the process of making use of analytics to determine the characteristics of a population using its sample.

The two types of statistical inference are:

Hypothesis testing. Confidence interval estimation.

if two points are in a plane, then the line that contains them is

Answers

Answer:

...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.

Step-by-step explanation:

At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. What is the probability that a randomly selected student studies for a test and gets a B or higher?

0.08
0.11
0.33
0.55

Answers

Answer:

.33

Step-by-step explanation:

if the probability of picking a pink jelly bean out of a bag is 4/15, what is the probability of not picking a pink jelly bean

Answers

Answer:

The probability of not picking a pink jelly bean: 11/15    

Step-by-step explanation:

As we know that the maximum value of the probability of an event would always be 1.

The reason is that '1' is certain that something would happen.

Given that the probability of picking a pink jelly bean out of a bag is 4/15.

Thus, the probability of not picking a pink jelly bean can be calculated by subtracting 4/15 from the maximum probability '1'.

i.e.

Probability of not picking a pink jelly bean = max probability - 4/15

                                                                       = 1 - 4/15

                                                                      = 11/15

Therefore, the probability of not picking a pink jelly bean: 11/15                                                                    

the averages of the squared differences between the data values and the mean is known as​

Answers

Variance is the answer.

Explanation:

The variance is the average of the squared differences from the mean. To figure out the variance, first calculate the difference between each point and the mean; then, square and average the results.

3 r = 7/10 can anyone explain me how to do it please.

Answers

Answer:

3r = 7/10

3r = 0.7

r = 0.7/3

r = 0.23

Step-by-step explanation:

Only need a answer for problem a

Answers

The answer is 120. Find the supplementary angles by subtracting 60 from 180.

180-60=120

A linear pair : two angle that make up to 180 degrees

X = 120 degrees

The linear pair is angle B and angle C.

Interest on $5,255 at 12 percent for 30 days (use 360 days) is:​

Answers

Answer:

$52.55

Step-by-step explanation:

I=(5255×12×30/360)/100

I=(5255×12×1/12)/100

I=5255/100=52.55

what is 5,300 rounded to the nearest thousand​

Answers

Answer:

5,000

Step-by-step explanation:

i just dropped my moms vase and it shatterd.

Answers

Answer:

tell your grandma your sorry

Step-by-step explanation:

Answer:

Blame it on your dog :)

Step-by-step explanation:

Write the equation of the linear relationship in slope-intercept form using decimals as needed

Answers

Answer:

25/82

Step-by-step explanation:

Fill in the blank

A small scoop of ice cream holds 75% as much as a large scoop of ice cream.

If the small scoops holds 36 ounces, how much does the large scoop hold? _______________ ounces.

Answers

Answer:

48 ounces

Step-by-step explanation:

75% of x = 36

= 0.75x = 36

Dividing both sides by 0.75 we get:

x = 36/0.75

x = 48 units

The large scoop can hold 48 ounces.

What are percentages?

A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”

Given here: A small scoop of ice cream holds 75% as much as a large scoop of ice cream. Let the large scoop hold x then as  per question we have  x×0.75=36

              x= 48

Hence, The large scoop can hold 48 ounces.

Learn more about percentages here:

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What is the product of -9.56 x 8.5? A. -81.26 B. -73.06 C. 81.26 D. 73.06

Answers

Answer:

A -81.26

Step-by-step explanation:

Answer:

The answer is, A.) -81.26!

Step-by-step explanation:

I got it right on the test. Please mark me branliest!

A. √

B. ×

C. ×

D. ×

Line segment pq shown on the graph below, is rotated 90 counterclockwise about point q to form pq

Answers

Answer:

this isn’t a 100% guaranteed correct answer but maybe the second option saying “PQ and P’G’ are parallel”

(i’m doing the test rn)

Answer: PQ and P’Q’ are perpendicular (3rd option)

Step-by-step explanation: they’re both perpendicular

help as fast as you can!!!!!! Any living thing is called an organism,no matter if it is one-celled or many-celled. True or False?.

Answers

Answer:

true

Step-by-step explanation:

Answer:

TRUE.

Step-by-step explanation:

Which table shows a proportional relationship between x and y?
х
7
14
o
28
35
у
2
4
5
X
1
4
7
o
3 5
у
2
CO
14
х
2.5
الم
5
6
o
y
5
6
10
15
1
2
3
4
O
4
10
12
у
16

Answers

The first table shows a proportional relationship between x and y.

Proportional relationship

A proportional relationship exist between two entities if an increase in one causes an increase in another or vice versa.

First table

x             y

7            28

14           35

Second table

x               y

1               2

4               4

7                5

The first table shows a proportional relationship between x and y, for every value of x, y increases by almost 2 times.

Learn more about proportional relationship here: https://brainly.com/question/2575222

Evaluate 5⁶/5²

is it not 5⁴?​

Answers

Your answer is correct because you subtract the exponents!

Which of the following is true? (1 point)

Question 19 options:

1)

|–8| < 6

2)

|–6| < |–8|

3)

|8| < |–6|

4)

|–6| < –8
PLS GOD HELP ME

Answers

2 is true since the absolute value of -6 is 6 and the absolute value of -8 is 8. The absolute value of a number will always be the number itself but positive. Also 6 is less than five which make this true.

What is the ideal number of children to have in a family? The following data represent the ideal number of children for a random sample of 900 adult Americans. ​

Answers

Answer:

4

Step-by-step explanation:

In most modern family’s they usually have 4 or 2

Rewrite the linear equation x+3y=2.

Answers

Answer:

y=-1/3x + 2/3

Step-by-step explanation:

Write in slope-intercept form:

3y=-x+2

Divide by 3

y=-1/3x + 2/3

Solve each equation. Check your solution.
a - 5 = -12

Answers

Answer:

A = -7

Step-by-step explanation:

Isolate the variable by adding 5 to each side. This becomes A = -7. To check your work plug -7 in for A.

-7 - 5 = -12

   -12 = -12

This is true so -7 is the correct answer.

the diagram below shows the tile border shown in gray that surrounds a kiddie pool how many square feet does the tile border cover​

Answers

Answer:

72 square feet.

Step-by-step explanation:

You could do this by figuring out directly how many tiles are needed to make the border B...

It is easier to find the area of the large area and subtract the white pool

Large rectangle = 18 * 9 = 162

Small rectangle = 15 * 6 = 90       Subtract

Area of border =               72

Which expression is equivalent to 2x^2-
2x + 72

Answers

Answer:

36

Step-by-step explanation:

2x•2x=4x

4x-2x=2x

72÷2=36

Kara was baking a cake. The recipe called for 8.5 cups of flour and she put in 3.2 cups so far. How many more cups of flour does she need?
**Write an equation AND solve:**

Answers

Answer:

5.3 cups of flour

Step-by-step explanation:

8.5 - 3.2 = 5.3 cups of flour

The table below shows the probability distribution of students in a high school with 1500 students. What is the expected value for the age of a randomly chosen student?

Age
13, 14, 15, 16, 18
Probability
0.01, 0.28, 0.30, 0.25,0.15,0.01

A. 15.28
B. 15.64
C. 15.34
D. 15.36

Answers

Answer: 15.28

Step-by-step explanation:

The expected value for the age of a randomly chosen student is,

⇒ 15.28

Given that:

Total number of students,

⇒ n = 1500,

And, Age : 13, 14, 15, 16, 17, 18

Probability : 0.01, 0.25, 0.27, 0.30, 0.16, 0.01

Now,

We can Calculate the expected value as shown below,

E = 13 × 0.01 + 14 × 0.25 + 15 × 0.27 + 16 × 0.30 + 17 × 0.16 + 18 × 0.01

E = 0.13 + 3.5 + 4.05 + 4.8 + 2. 72 + 0.18

E = 15.38

Therefore, The expected value for the age of a randomly chosen student is 15.38.

To know more about probability:

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Determine whether the triangles are congruent using sas sas asa aas HL

Answers

Answer:

They are congruent bc they are the same size and shape

Answer:

Congruent by SAS

Step-by-step explanation:

As given by the diagram, we have two congruent sides already. From the set of parallel lines, we see that two angles are congruent because they are corresponding. Luckily, this angle falls between the two congruent sides, which gives you the proof of SAS.

Help me please *an image is attached*

Answers

Answer:

the height it is at is 95 meters

the answer is y=mx+b so plug in 37 and 12

PLZ ANSWERE QUICKLY​

Answers

Transition because it mirrored but not exactly

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