Question

This question has 8 parts. Each of the 8 parts (Part A - Part H) has a dropdown list of possible answers. Choose the best answer from the dropdown list for EACH part of the question below. Open the "Lab Dataset" (HSCI390.sav) you have been using for lab assignments in SPSS. Your analysis will focus on the variable "Weight in pounds" (NQ50).

Researchers are interested in examining how the average weight of students at CSUN compares to the average weight of all people across the United States of 166.2. To examine their research question of interest, they will use data from the sample of CSUN students contained in the HSCI390.sav dataset. Using SPSS for the analysis, you will test whether the population of students at CSUN appear to have a different average weight than the reported average age of people across the US of 166.2, using an alpha level (α) of 0.05. You will use the information above to complete the question parts below for a one sample t-test.

Mean is 152.62, Standard Deviation is 39.164, Standard Error Mean is .654

Part A: Which of the following represents the appropriate null hypothesis (H0), given this research question of interest? PART A ANSWER CHOICES: H0: μ = 166.2, μ = 152.62, µ ≠ 152.62, µ ≠ 166.2

Part B: Which of the following represents the appropriate alternative hypothesis (H1), given this research question of interest? PART B ANSWER CHOICES: H1: μ = 166.2, μ = 152.62, µ ≠ 166.2, µ ≠ 152.62

Part C: What are the degrees of freedom (df) associated with your test? PART C ANSWER CHOICES: 166.2, 3588, 3583, 3584, 3589

Part D: Which of the following represents the appropriate critical values, testing at an alpha level (α) of 0.05? PART D ANSWER CHOICES: -1.960 and 1.960, -2.576 and 2.576, -2.041 and 2.041, -3.291 and 3.291, -3.859 and 3.859

Part E: What is the t-statistic associated with your test? (rounded to the nearest thousandth)? PART E ANSWER CHOICES: 0.372, -7.492, 20.761, 7.492, -20.761

Part F: What is the p-value associated with your test statistic? (rounded to the nearest thousandth) PART F ANSWER CHOICES: 2.131, 0.003, 7.492, 0.000 or <0.001, 2.974

Part G: Given your test results, what is your decision about the null hypothesis? PART G ANSWER CHOICES: Fail to reject (i.e., retain) the null, reject the null

Part H: The best interpretation of the appropriate decision regarding the null hypothesis would be: "Based on our study, we _____ enough evidence to conclude that the population of CSUN students appears to have a different mean weight than the population of all people across the US."

PART H ANSWER CHOICES: have, do not have

Answer 1

Claim : The population of students at CSUN appear to have a different average weight than 166.2

Part A: H0: μ = 166.2

Part B:  H1: µ ≠ 166.2

Part C: df = n-1 = 3585-1

df =  3584

Part D:

Critical value:

α = 0.05

As H_a contain ≠ sign , this is two tail test.

So for two tail area 0.05 and df = 3584,

Critical value is  -1.960 and 1.960  

Part E:

t = =

t = -20.761

Part F: What is the p-value associated with your test statistic?

0.000 or <0.001,

Part G: As P value is less than 0.05 we reject the null

Part H: Based on our study, we have enough evidence to conclude that the population of CSUN students appears to have a different mean weight than the population of all people across the US.