Can someone explain me this

Complete question :

A data set includes data from student evaluations of courses. The summary statistics are nequals92​, x overbarequals4.09​, sequals0.55. Use a 0.10 significance level to test the claim that the population of student course evaluations has a mean equal to 4.25. Assume that a simple random sample has been selected. Identify the null and alternative​ hypotheses, test​ statistic, P-value, and state the final conclusion that addresses the original claim.

Answer:

H0 : μ = 4.25

H1 : μ < 4.25

T = - 2.79

Pvalue =0.0026354

we conclude that there is enough evidence to conclude that population mean is different from 4.25 at 10%

Step-by-step explanation:

Given :

n = 92​, xbar = 4.09​, s = 0.55 ; μ = 4.25

H0 : μ = 4.25

H1 : μ < 4.25

The test statistic :

T = (xbar - μ) ÷ s / √n

T = (4.09 - 4.25) ÷ 0.55/√92

T = - 0.16 / 0.0573414

T = - 2.79

The Pvalue can be obtained from the test statistic, using the Pvalue calculator

Pvalue : (Z < - 2.79) = 0.0026354

Pvalue < α ; Hence, we reject the Null

Thus, we conclude that there is enough evidence to conclude that population mean is different from 4.25 at 10%

Answer:

Step-by-step explanation:

The null and alternative hypotheses are:

Null hypothesis: The population mean of student course evaluations is equal to 4.25.

Alternative hypothesis: The population mean of student course evaluations is not equal to 4.25.

The significance level is 0.01, so the test will be a two-tailed test.

The test statistic is calculated as:

t = (x - μ) / (s / √n) = (4.18 - 4.25) / (0.54 / √97) = -2.63

The degrees of freedom for the t-distribution is n-1 = 96. Using a t-table or a calculator, the P-value for a two-tailed test with 96 degrees of freedom and a t-value of -2.63 is approximately 0.010.

Since the P-value (0.010) is less than the significance level (0.01), we reject the null hypothesis. We have sufficient evidence to conclude that the population mean of student course evaluations is not equal to 4.25.

In other words, the data provides strong evidence to suggest that the average student course evaluation rating is significantly lower than 4.25.

Answer: y= 2x+3; y=-1/3x+3

Step-by-step explanation:

First option on edge

y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.

The correct option is 1.

Graph, a visual depiction of statistical information or a relationship between variables that serves a purpose. Graphs serve a predictive purpose because they have the advantage of displaying broad trends in the quantitative behavior of data. But, as just approximations, they may be imprecise and occasionally deceptive. The majority of graphs include two axes: a horizontal axis that represents a set of independent variables and a vertical axis that represents a set of dependent variables. A broken-line graph, in which time is typically the independent variable, is the most typical type of graph.

The graph of the functions and the points on the line is given.

The points for 1st function = (0, 3)

The points for 2nd function = (3, 2)

The given function:

y = 2x + 3

Substituting (0, 3)

3 = 2(0) + 3

3 = 3

Similarly, for y = -(1/3)x + 3

Substituting (3, 2)

2 = -(3/3) + 3

2 = -1 + 3

2 = 2

Hence, y = 2x + 3 and y = -(1/3)x + 3 define the function graphed below.

To learn more about graph, click:

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Answer:

The base of the pyramid is a triangle, and the lateral faces are also triangles.

Answer: 10.5 km

A = bh

A = 3.5 x 3

A = 10.5

Answer:

I think ur answer would be 10.5 km

Step-by-step explanation:

srry if wrong hope this helps

Answer: 8

Step-by-step explanation:

Answer Step-by-step explanation:

2x-7

-14

3x

2+7

Answer: A

Step-by-step explanation:

she can carry 1.5 pounds of books plus the extra 3 pounds as long as its less than or equal to 15 lbs

The inequality that shows the number of books that Diana can carry in her bag if she has her lunch and gym shoes is 3 + 1.5x  ≤ 15.

The first step is to determine the total weight of the items in her bag:

1 + 2 = 3lbs

The second step is to determine the inequality sign to use:

the inequality sign to be used is the less than or equal to sign - ≤

The equation becomes: weight of items in her bag + (weight of one book x total number of books) ≤ weight the bag can carry

3 + 1.5x  ≤ 15

Answer:

+ 3 , is correct answer

hope it helps

Answer:

+3

Step-by-step explanation:

as we divide 27 by (-3) then the answer will (-9) and similarly next one but the sign will change

Answer:

7

Step-by-step explanation:

34-6=28

28/4=7

c=7

Answer:

The answer would be 'c=7'.

Step-by-step explanation:

I hope this was helpful, have a blessed day.

Answer:

Probability [Randomly selected voter affiliated with other party] = 1/20

Step-by-step explanation:

Given:

Percentage of Democrats voters = 42%

Percentage of Republican voters = 53%

Find:

Probability [Randomly selected voter affiliated with other party]

Computation:

Percentage of other party voters = 100% - [Percentage of Democrats voters + Percentage of Republican voters]

Percentage of other party voters = 100% - [42% + 53%]

Percentage of other party voters = 100% - 95%

Percentage of other party voters = 5%

Probability [Randomly selected voter affiliated with other party] = Percentage of other party voters / 100%

Probability [Randomly selected voter affiliated with other party] = 5% / 100%

Probability [Randomly selected voter affiliated with other party] = 1/20

Answer:

area of shaded portion = 30.5 cm²

Step-by-step explanation:

area of circle = πr² = (3.14)(5²) = 78.5 cm²

area of rectangle = L x W = 8 x 6 = 48 cm²

78.5 - 48 = 30.5 cm²

let the time taken to be filled by both pipes be y

1/2 +1/8=1/y

(4+1)/8=1/y

5/8=y

cross multiplying

5y=8

y=8/5

=1.6hrs

Answer:

Option B is correct

Step-by-step explanation:

Given data

We are given the expression

-4x + 2y > 12

We want to substitute y=4 into the expression

-4x + 2(4) > 12

-4x + 8 > 12

-4x> 12-8

-4x> 4

divide both sides by -4

x> 4/-4

x>-1

Hence option B is correct

Answer:

Measure of the major arc OQN = 292°

Step-by-step explanation:

Measure of the major arc OQN = 360° - m(arc ON)

By the definition of central angle subtended at the center by the arc,

Measure of arc ON = Central angle subtended by the arc

                                = 38°

Now measure of the major arc OQN = 360° - 38°

                                                            = 292°

Answer:first one

Step-by-step explanation:

Answer:

5.4 I think sorry if its wrong

Step-by-step explanation:

Answer:

B. 56°

Step-by-step explanation:

We are given that m∠R is 66° and m∠T is 122°.

We can apply the supplementary rule since ∠S and ∠T are a linear pair. So, we can use ∠T to find ∠S through 180° - 122° = 58°.

Now, we can use ∠R and ∠S to find ∠Q.

66° + 58° = 124°

180° - 124° = 56°

Answer:

m∠Q is 56°.

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two interior angles that are not adjacent to that exterior angle.

In this case, ∠T is an exterior angle of the triangle, and ∠Q and ∠R are the two interior angles that are not adjacent to ∠T.

So, the measure of ∠T is equal to the sum of the measure of ∠Q and the measure of ∠R.

Therefore, m∠Q is 56°.

Answer:

3000 + 400 + 70 + 9 + 1/10 + 0/100 + 5/1000. (ii) 7833.45. = 7 thousands + 8 hundreds + 3 tens + 3 ones + 4 tenths + 5 hundredths. = 7000 + 800 + 30 + 3 + 4/10 + ...

The expanded form of a number can be represented as 7·1000+8·100+3· 1/100 and 71·10+4·1+6· 1/100 +5· 1/1000 and 5·1000+5·100+5·1+5·1/100

The expanded form of a number involves representing a number by the sum of each digit multiplied by its place value (ones, tens, hundreds, thousands, and so on).

The expanded form of a number can be represented as 7·1000+8·100+3· 1/100 and 71·10+4·1+6· 1/100 +5· 1/1000 and 5·1000+5·100+5·1+5·1/100

Find out more on expanded form at: https://brainly.com/question/536253

Answer:

[tex](x+1)^2+(y-5)^2=36[/tex]

Step-by-step explanation:

The standard form equation for a circle is [tex](x-h)^2+(y-k)^2=r^2[/tex] where

(h, k) is the center and r is the radius.

Match up the point (-1, 5) with (h, k) to see that h = -1 and k = 5.

x - h = x - (-1) = x + 1

y - k = y - 5

[tex](x+1)^2+(y-5)^2=36[/tex]

This question is incomplete, the complete question is;

A sociologist wants to construct an 80 confidence interval for the proportion of children aged 8-10 living in New York who own a cell phone.

(a) A survey by the National Consumers League taken in 2012 estimated the nationwide proportion to be 036. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?

Answer:

the required or needed sample size is 946

Step-by-step explanation:

Given the data in the question;

confidence level = 80%

⇒ 100( 1 - ∝ )% = 80%

100 - 100∝ = 80

100∝ = 100 - 80

∝ = 20/100

level of significance ∝ = 0.2

[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.10[/tex] = 1.2816 { from z-table }

p = 0.36

Allowable margin of error E = 0.02

let n be the required sample size.

we know that

E = √( p( 1 - p) / n )

given that margin of error E = 0.02

⇒ √( p( 1 - p) / n ) × [tex]Z_{\alpha /2[/tex] = 0.02

⇒ √( 0.36( 1 - 0.36) / n ) × 1.2816  = 0.02

⇒ √( 0.2304 / n ) × 1.2816 = 0.02

√( 0.2304 / n ) = 0.02 / 1.2816

√( 0.2304 / n ) = 0.01560549

( 0.2304 / n ) = ( 0.01560549)²  

0.2304 / n  = 0.000243531318

n = 0.2304 / 0.000243531318

n = 946

Therefore, the required or needed sample size is 946

Answer:

16 feet

Step-by-step explanation:

6 yards of ribbon = 6 x 3 =18 feet

ribbon used = 18 -2 = 16 feet

Answer:

See explanation below

Step-by-step explanation:

Eight hundred two thousand and forty-nine

Answer and Step-by-step explanation:

Expressions that represent the total area are:

6(m + n)

6n + 6m

(n + m)6

That is because to find the area of these rectangles, we multiply the length by the width. We would get 6m and 6n, which is one of those options.

Now, if we take out the 6 from each of the values, we get 6(m + n), or (n + m)6.

#teamtrees #PAW (Plant And Water)

Answer:

8+(13-8)=13 pls Point pls

Answer: 13.5

Step-by-step explanation: 1/4 of 12 is 3, so 3x4.5=13.5

Answer:

B

Step-by-step explanation:

In a triangle the longest side is opposite the largest angle.

∠ Y = 180° - (60 + 43)° = 180° - 103° = 77°

∠ Y is the largest angle in the triangle, then the side opposite is the longest

That is XZ is the longest side → B

Answer:

To make mistakes and learn more.

Step-by-step explanation:

Because, the only way to learn math is to make mistakes, its okay to make mistakes!

Answer:

i use math in my everyday life to calculate calories for my diet.

Step-by-step explanation: