Pretend you have the following data for 16 subjects in a study designed to determine whether strong coffee speeds neural processing, in this case defined as reaction time in a simple memory task, with lower numbers reflecting faster processing. The 16 subjects were randomly assigned to two groups: placebo control group vs. coffee experimental group. Here are the results, followed by guidance for the VassarStats program: Placebo         Coffee 28                26 23                18 20                15 28                24 29                24 33                19 34                13 http://vassarstats.net/ #1. What is the null hypothesis for this study? #2. a. State the mean for each group:  Placebo mean =  ??  Coffee mean = ?? b. What is the mean difference? #3. a. What was the level of significance (two-tailed p value)? b. What, then, is the probability that “chance” explained this mean difference given that p value? #4. a. What is your decision regarding the null hypothesis given the p value? Accept or reject? b. Are the results “significant” or “not significant?” #5. What is your overall conclusion given your statistical findings?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
icon
Related questions
Topic Video
Question

Pretend you have the following data for 16 subjects in a study designed to determine whether strong coffee speeds neural processing, in this case defined as reaction time in a simple memory task, with lower numbers reflecting faster processing. The 16 subjects were randomly assigned to two groups: placebo control group vs. coffee experimental group.

Here are the results, followed by guidance for the VassarStats program:

Placebo         Coffee

28                26

23                18

20                15

28                24

29                24

33                19

34                13

http://vassarstats.net/

#1. What is the null hypothesis for this study?

#2.

a. State the mean for each group:  Placebo mean =  ??  Coffee mean = ??

b. What is the mean difference?

#3.

a. What was the level of significance (two-tailed p value)?

b. What, then, is the probability that “chance” explained this mean difference given that p value?

#4.

a. What is your decision regarding the null hypothesis given the p value? Accept or reject?

b. Are the results “significant” or “not significant?”

#5. What is your overall conclusion given your statistical findings?

 

17                13

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 3 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL