This topic contains a solution. Click here to go to the answer

Author Question: Suppose a test procedure about the population mean is performed, when the population is normal with ... (Read 72 times)

genevieve1028

  • Hero Member
  • *****
  • Posts: 601
Suppose a test procedure about the population mean  is performed, when the population is normal with an unknown variance, and a sample of size 20 is drawn from the population.
 
  If the alternative hypothesis is H1 :  > 0, then the null hypothesis is rejected at a level  = 0.05 if t > 1.729. Indicate whether the statement is true or false

Question 2

Discuss the conceptual basis of using a t-test for inferences about the population slope parameter.
 
  How does this t-test relate to the t-test for the correlation coefficient and the F test for the significance of the model? Do all these relationships make sense?



Related Topics

Need homework help now?

Ask unlimited questions for free

Ask a Question
Marked as best answer by a Subject Expert

gabrielle_lawrence

  • Sr. Member
  • ****
  • Posts: 353
Answer to Question 1

TRUE

Answer to Question 2

What we are testing is whether the sample slope statistic is significantly far enough away from 0 to say that the true population slope is significantly different from 0. The sample slope b1 has a normal distribution and that leads to a t-test for the slope where the standard error of b1 is estimated by s . If the t statistic is big enough or small enough then the true slope differs significantly from 0. This t-test statistic is exactly equivalent to the t-test statistic for the correlation. That is because, if the true slope is 0, then based on the model, Y does not depend on X and so they are not correlated. On the other hand, if the correlation is 0, there is no linear relationship between X and Y and hence according to the model, the true slope must be 0. Moreover, the F test for the significance of the model is also equivalent to these t-tests because (tn-2)2 = F1,n-2. Of course, if the model is not significant, that means that Y does not depend on X and thus the slope and the correlation coefficient are all 0.




genevieve1028

  • Member
  • Posts: 601
Reply 2 on: Jun 24, 2018
Excellent


meow1234

  • Member
  • Posts: 333
Reply 3 on: Yesterday
YES! Correct, THANKS for helping me on my review

 

Did you know?

Adults are resistant to the bacterium that causes Botulism. These bacteria thrive in honey – therefore, honey should never be given to infants since their immune systems are not yet resistant.

Did you know?

Fungal nail infections account for up to 30% of all skin infections. They affect 5% of the general population—mostly people over the age of 70.

Did you know?

Asthma-like symptoms were first recorded about 3,500 years ago in Egypt. The first manuscript specifically written about asthma was in the year 1190, describing a condition characterized by sudden breathlessness. The treatments listed in this manuscript include chicken soup, herbs, and sexual abstinence.

Did you know?

An identified risk factor for osteoporosis is the intake of excessive amounts of vitamin A. Dietary intake of approximately double the recommended daily amount of vitamin A, by women, has been shown to reduce bone mineral density and increase the chances for hip fractures compared with women who consumed the recommended daily amount (or less) of vitamin A.

Did you know?

About 100 new prescription or over-the-counter drugs come into the U.S. market every year.

For a complete list of videos, visit our video library