Ask question

Ask question

All categories

3 years ago

7

The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be co

ncluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
H0: Level of math is independent of/dependent on grade level.
H1: Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.

1 answer:

Ghella [55]3 years ago

3 0

Solution :

The expected matrix is :

$E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$ Honors Regular General

6 th grade 33.0986 46.0070 14.8944

7 th grade 34.8592 48.4542 15.6866

8 th grade 32.0423 44.5387 14.4190

Thus we can say that the level of math is not dependent on the grade level.

Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419

$H_0$ : The level of math is independent of the grade level.

$H_1$ : The level of math is dependent on the grade level.

You might be interested in

The sum of 5 consecutive even numbers is 20

vladimir2022 [97]

Step-by-step explanation:

Let the 1st number be x

2nd number = x + 2

3rd number = x + 4

4th number = x + 6

5th number = x + 8

x + x + 2 + x + 4 + x + 6 + x + 8 = 20

5x + 20 = 20

5x = 20 - 20

5x = 0

x = 0 ÷ 5

x = 0

The 5 consecutive integers are

0, 2, 4, 6, 8

8 0

3 years ago

Will give brainliest!!

DanielleElmas [232]

B d c is the answer if you look at the picture you will know which one is similar

8 0

3 years ago

Find the positive value of x that makes the following equation true?<br> x^2 − 1 4 = 5x + 67 − 5x

Naddika [18.5K]

Answer:

x=9

Step-by-step explanation:

x^2 = 5x + 81 -5x.

x^2 = 81

x=9

5 0

3 years ago

1. Find the sum of the series (IMAGE) . Show your work.

pav-90 [236]

<u>QUESTION 1 ANSWER</u>

The series is

$\sum_{n=1}^{15}{ (2n-1)}$

So the nth term of this sequence is

$U_n=2n-1$

We generate some few terms of the sequence as follows:

When $n=1$ ,

The first term of the sequence becomes,

$U_1=2(1)-1$

$U_1=1$

When $n=2$ ,

$U_2=2(2)-1$

$U_2=3$

When $n=3$ ,

$U_2=2(3)-1$

$U_2=5$

The constant difference is $d=2$ .

The sum of the series is given by,

$S_n=\frac{n}{2}(2a+(n-1)d)$

There are 15 terms in the series, therefore $n=15$

$S_{15}=\frac{15}{2}(2(1)+(15-1)2)$

$S_{15}=\frac{15}{2}(2+14(2))$

$S_{15}=\frac{15}{2}(30)$

$S_{15}=15\times 15$

$S_{15}=225$

<u>ANSWER TO QUESTION 2</u>

The bottom row has $23$ boxes. This means $a=U_1=23$

a) Since each row has 3 fewer boxes $d=-3$ .

The nth row is given by,

$U_n=23+(n-1)\times(-3)$

$U_n=23+-3n+3$

$U_n=23-3n$

The top row is the 6th row, meaning $n=6$ .

$U_6=23-3(6)$

$U_6=23-18$

$U_6=5$

b) The number of boxes in the entire display is given by

$S_n=\frac{n}{2} (a+l)$

Where $a=23$ , the first term(row) and $l=5$ , the last term(row).

Since there are 6 rows,

$S_6=\frac{6}{2} (23+5)$

$S_6=3 (28)$

$S_6=84$

<u>ANSWER TO QUESTION 3</u>

The number of visitors in the first week is $a=5$ .

Since the number of visitors each week is doubled the number of visitors in the subsequent weeks, the sequence is a geometric progression with a common ratio of $r=2$ .

The general term of a geometric sequence is

$U_n=ar^{n-1}$

So in the 8th week, we have

$U_8=5\times 2^{8-1}$

$U_8=5\times 2^{7}$

$U_8=5\times 128$

$U_8=640$

Hence 640 people visited the website in the 8th week

4 0

3 years ago

A recipe calls for 2 tsp of salt, 1 tsp of pepper, and 4 tsp of garlic powder. How much pepper and garlic powder would you need

MakcuM [25]

Answer:

amount of pepper required= 7.5 tsp

amount of garlic powder required = 30 tsp

Step-by-step explanation:

Given,

amount of salt used for small batch of the recipe = 2 tsp

amount of pepper used for small batch of the recipe = 1 tsp

amount of garlic powder used for small batch of the recipe = 4 tsp

amount of salt used for the larger batch = 15 tsp

= 2 x 7.5 tsp

= amount of salt used for small batch the recipe x 7.5

So,

the amount of pepper needed for the larger batch= 7.5 x amount of pepper used for the small batch of recipe

= 7.5 x 1 tsp

= 7.5 tsp

the amount of garlic powder needed for the larger batch= 7.5 x amount of garlic powder used for the small batch of recipe

= 7.5 x 4 tsp

= 30 tsp

3 0

3 years ago