the correlation between years of education and salary in a sample of 20 people from a certain company is .4. is this correlation statistically significant.

Complete Question:

The correlation between years of education and salary in a sample of 20 people from a certain company is .4. Is this correlation statistically significant at the .05 level?

We accept hence no significant  evidence

Step-by-step explanation:

From the question we are told that

sample correlation n= 20

population correlation  = 4

level of significance

Generally we are task to understand existing difference between  sample correlation and population correlation

Generally null hypothesis  is given by

alternative hypothesis

generaly the mathematical representation of test statics

Generally for table the p value is given by

p value > the null hypothesis

Therefore

We accept hence no significant  evidence

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}