Does the data provide enough evidence to conclude that, at the 1 ...

[jparksx]

Does the data provide enough evidence to conclude that, at the 1 significance level, the final mark and the mid-term test mark show a positive linear relationship?
 
  What will be an ideal response?

Question 2

Why is the central limit theorem important in statistics?
 
  A) Because for a large sample size n, it says the population is approximately normal.
  B) Because for any population, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population.
  C) Because for a large sample size n, it says the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population.
  D) Because for any sample size n, it says the sampling distribution of the sample mean is approximately normal.

[cassie_ragen]

Answer to Question 1

H0 : 3 = 0 against H1 : 3 > 0
Test statistic: t = 4.846
Reject H0 if t > t0.01, 46. Since t0.01, 46 = 2.410 we reject H0. The data provide enough evidence to conclude that, at the 1 significance level, the final mark and the mid-term test mark show a positive linear relationship.

Answer to Question 2

C

[jparksx]

TYSM

[milbourne11]

Excellent