Which of the following is FALSE?

a. If you double each entry on a list, that doubles the mean.
b. If you double each entry on a list, that doubles the SD.
c. If you add 5 to each entry on a list, that adds 7 to the SD.
d. If you change the sign of each entry on a list, that changes the sign of the mean.

Answer:

1. Since [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], these conditions are met.

2. Approximately normal.

3. 0.35

4. 0.0389

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]

Let's say you want to poll a random sample of 150 students on campus to see if they prefer to take online classes.

This means that [tex]n = 150[/tex].

35% of all students actually prefer to take classes online

This means that [tex]p = 0.35[/tex]

1. Discuss the conditions necessary to use the normal curve to model this sampling distribution and explain whether or not they are met.

The conditions necessary are [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex].

We have that

[tex]np = 150*0.35 = 52.5 \geq 10[/tex]

[tex]n(1-p) = 150*0.65 = 97.5 \geq 10[/tex]

Since [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], these conditions are met.

2. If the normal model is appropriate for this distribution, what shape would you expect it to have?

By the Central Limit Theorem, approximately normal.

3. If you were to use the normal model for this p-hat sampling distribution, what value would be at the center of your sampling distribution? In other words, what value would all of those sample proportions center around?

The mean, which by the Central Limit Theorem, is [tex]\mu = 0.35[/tex].

4. What would be the standard deviation of this sampling distribution?

By the Central Limit Theorem,

[tex]s = \sqrt{\frac{0.35*0.65}{150}} = 0.0389[/tex]

Answer:

4

Step-by-step explanation:

since they are both on the same y coordinate, you have to count from -4 to 0, and that is 4

Answer:a

Step-by-step explanation: you can clearly see that the points are going up

As time went by, the average temperature tended to increase.

A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.

Given is the graph shown below displays the change in the average temperature of the world over time.

The scatterplot has a positive correlation. This means that as time went by, the average temperature tended to increase.

Therefore, as time went by, the average temperature tended to increase.

To solve more questions on scatterplots, visit the link below -

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Answer:

7 1/25

Step-by-step explanation:

7.0400=176/25=7

176 - (25 x 7) = 1

Hope this helps

Answer:

x

=

5

, so after five months the costs would equal each other

Step-by-step explanation:

Answer:

Diana's score is better.

Step-by-step explanation:

In Diana case :

Score = 92

Mean score , μ = 71

Standard deviation σ = 15

So,

P( x ≥ 92 ) = 1 - P( x ≤ 92 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{92 - 71 }{15}[/tex] )

                = 1 - P( z ≤ 1.4 )

                = 1 - 0.9192

                = 0.0808 = 8.08 %

⇒P( x ≥ 92 ) = 8.08%

∴ we get

Diana score is > 91.92% other students in the class.

In Micheal case :

Score = 688

Mean score , μ = 493

Standard deviation σ = 150

So,

P( x ≥ 688 ) = 1 - P( x ≤ 688 )

                = 1 - P(z ≤ [tex]\frac{x - u}{\sigma}[/tex] )

                = 1 - P( z ≤ [tex]\frac{688 - 493 }{150}[/tex] )

                = 1 - P( z ≤ 1.3 )

                = 1 - 0.9032

                = 0.0968 = 9.68 %

⇒P( x ≥ 688 ) = 9.68%

∴ we get

Micheal score is > 90.32% other students in the class.

From both scores , we can conclude that

Diana's score is better.

9514 1404 393

Answer:

  see below

Step-by-step explanation:

Add 3 to both sides of the inequality to find the solution.

  x -3 +3 > -2 +3

  x > 1

This graphs as an open circle at x=1, with shading to the right.

Answer:

1/4

Step-by-step explanation:

write all numerator above the common denominator

2-1 over 4

subtract the numbers

and you will get 1/4

answer:

1/4

Step-by-step explanation:

[tex] \frac{2}{4} - \frac{1}{4} [/tex]

[tex] \frac{2 - 1}{4} [/tex]

[tex] \frac{1}{4} [/tex]

it's the answer:)

Answer:

a to e

Step-by-step explanation:

Answer:

20%

a) a train goes 60 mph for 180 miles

50 miles

Step-by-step explanation:

6/30=.20 = 20%

180 miles divided by 60 mph=3 hours

80%x = 40 miles

.8x=40

.8x/.8=40/.8

x=50 miles

Answer:

if you're trying to find the slope, it is (3, -8) were you looking for the slope?

Step-by-step explanation:

i hope this helps, have a great day:)

Answer: the answer is x =3, y = -8

Step-by-step explanation:

Answer:

1246 sq cm

Step-by-step explanation:

First, you find the area of the rectangle without the part cut out of it. Then, you find the area of the part cut out. Finally, you subtract the two.

34 x 39 = 1326

10 x 8 = 80

1326 - 80 = 1246

Answer:

Step-by-step explanation:

Given

The two sides and the included angle - SAS

Correct option is

lwoeofpxs kfi wn ee's osoakem

Step-by-step explanation:

owlekdx9zinqrnxiz n.v w w d f ds no wkw

Answer: the sum is 1301

Answer:

1301

Step-by-step explanation:

1005 + 296 = 1301

Answer:

5 hours

Step-by-step explanation:

divide 450 by 3 which is 150  1h=150

now we want to know how many hours

if 1h=150 then how many hours what you do is you divide 750/150 which is 5

so 5 hours to lay 750 bricks

pls brainliest i haven't got one

have a good day hope this helped :)

Answer:

hope it may help you

Step-by-step explanation:

n and n+14 are the numbers or you can use n and n-14; either way

n+n+14=58

2n+14=58

2n=58-14

2n=44

n=22 and n+14=22+14=36

22 and 36 are the numbers

or,...

58/2=29

29 and 29

28 and 30

27 and 31

26 and 32

25 and 33

24 and 34

23 and 35

22 and 36 answer

Answer:

Fraction- 20/100

100 - 80 = 20

Step-by-step explanation:

Answer:

I think 20/100 is the answer

Answer: 0.75 appex

Step-by-step explanation:

The sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

It is defined as the sampling distribution following an approximately normal distribution for known standard deviation.

The formula for finding the confidence interval for population standard deviation as follows:

[tex]\rm s\sqrt{\dfrac{n-1}{\chi^2_{\alpha/2, \ n-1}}} < \sigma < s\sqrt{\dfrac{n-1}{\chi^2_{1-\alpha/2, \ n-1}}}[/tex]

Where s is the standard deviation.

n is the sample size.

[tex]\chi^2_{\alpha/2, \ n-1} and \chi^2_{1-\alpha/2, \ n-1}[/tex] are the constant based on the Chi-Square distribution table:

α is the significance level.

σ is the confidence interval for population standard deviation.

Calculating the confidence interval for population standard deviation:

We know significance level = 1 - confidence level

From the data the margin of error = (0.78 - 0.72)/2

MOE = 0.03

98% Confidence interval for a sample proportion:

n - 0.03 = 0.72

n + 0.03 = 0.78

The interval is (0.72, 0.78)

The sample proportion = 0.75

Thus, the sample proportion is 0.75 if  98% confidence interval for a proportion is found to be (0.72, 0.78) option (C) is correct.

Learn more about the confidence interval here:

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Answer:

Option A is your answer

Answer:

C is correct answer.

Hope this is helpful. Thanks & Upvote it

Answer:

I think it's D not sure but you can try

Answer: The number of hours a student should spend on their homework to expect a score of 76 on the quiz.

Answer:

Image attached

It is unlikely that the cat will be saved as the firefighters will be able to reach only up to 33 mm from the ground.

A right angled triangle is a triangle with one of its angle as 90 degree and Pythagoras theorem can be applied to determine the sides of the triangle.

The ladder height = 35 m

The horizontal distance of the ladder = 12m

The height at which the cat is stuck is 39 m

By Pythagoras theorem , the height up to which the firefighters can reach can be determined

h = [tex]\rm \sqrt {35^2 - 12^2}[/tex]

h = 32.8 ≈ 33 m

Therefore the height up to which the fire fighters can reach is 33m and the height at which the cat is stuck is at 39 m , the likelihood of the cat getting saved is not there.

To know more about Right angle Triangle

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Answer:

B) 0.283

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

25% of the students drive themselves to school.

This means that [tex]p = 0.25[/tex]

Class of 18 students

This means that [tex]n = 18[/tex]

What would be the probability that at least 6 students drive themselves to school?

This is

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]

[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]

[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]

[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]

[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]

[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]

Closest option is B, just a small rounding difference.