What is the distance from -10 to 14 on a number line?

Nine students took the SAT. Their scores are listed below. Later on, they read a book on test preparation and retook the SAT. Th

SCORPION-xisa [38]

Answer:

t= 0.4933

t ≥ t ( 0.025 ,8 ) = 2.306

Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.

Step-by-step explanation:

We state our null and alternative hypotheses as

H0: ud= 0 Ha: ud≠0

The significance level is set at ∝= 0.05

The test statistic under H0 is

t= d`/ sd/√n

which has t distribution with n-1 degrees of freedom

The critical region is t ≥ t ( 0.025 ,8 ) = 2.306

Computations

Student Scores before Scores after Difference d²

reading book ( after minus before)

1 720 740 20 400

2 860 860 0 0

3 850 840 -10 100

4 880 920 40 1600

5 860 890 30 900

6 710 720 10 100

7 850 840 -10 100

8 1200 1240 40 1600

d`= ∑d/n= 140/9= 15.566

sd²= 1/8( 4840- 140²/9) = 1/8 (4840 - 2177.778) = 2662.22/8= 332.775

sd= 18.2422

t= 3/ 18.2422/ √9

t= 0.4933

Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.

7 0

3 years ago

Forty-eight pens are packaged in 4 boxes. How many pens are packaged in 9 boxes

polet [3.4K]

There are 108 in 9 boxes

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3 years ago

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The correct answer to this it’s my last question

IRISSAK [1]

Answer: The last one

6 0

3 years ago

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A contractor is planning the acquisition of bulldozers needed for a new project in a remote area. From prior experience with thi

sleet_krkn [62]

Answer:

0.0256 ; 0.1536 ; 0.3456 ; 0.3456 ; 0.1296

Step-by-step explanation:

P, that each bulldozer will be operational for atleast 6 months = 0.6

p = 0.6 ; q = 1 - p = 1 - 0.6 = 0.4

Number of bulldozers purchased, n = 4

Probability that :

Exactly 0 bulldozer will be operational at the end of 6 months :