Question

In: Statistics and Probability

A team of psychologists hypothesize that feeling sick is associated with liking a flavor. They design...

A team of psychologists hypothesize that feeling sick is associated with liking a flavor. They design a study in which rats are randomly split into two group. In one group the rats are given an injection of lithium chloride immediately following consumption of saccharin-flavored water. Lithium chloride makes rats feel sick. The rats in the other group were not given Lithium chloride after drinking the flavored water. The next day, all rats could drink saccharin-flavored water. The amount of saccharin-flavored water consumed (in milliliters) for all rat for the next day are given below. What can the psychologists conclude with α = 0.01?

lithium no lithium
4
3
1
3
2
6
8
6
5
6
9
6
7
9
7
5
6
7


a) What is the appropriate test statistic?
---Select--- na z-test One-Sample t-test Independent-Samples t-test Related-Samples t-test

b)
Condition 1:
---Select--- lithium chloride saccharin-flavored water disliking a flavor no lithium chloride the rats
Condition 2:
---Select--- lithium chloride saccharin-flavored water disliking a flavor no lithium chloride the rats

c) Compute the appropriate test statistic(s) to make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
p-value =  ; Decision:  ---Select--- Reject H0 Fail to reject H0

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.
d =  ;   ---Select--- na trivial effect small effect medium effect large effect
r2 =  ;   ---Select--- na trivial effect small effect medium effect large effect

e) Make an interpretation based on the results.

Rats that were given lithium chloride drank significantly more saccharin-flavored water than those that were not given lithium chloride.Rats that were given lithium chloride drank significantly less saccharin-flavored water than those that were not given lithium chloride.    There is no significant difference in saccharin-flavored water drank between rats that were given lithium chloride and those that were not.

Solutions

Expert Solution

A team of psychologists hypothesize that feeling sick is associated with liking a flavor. They design a study in which rats are randomly split into two group. In one group the rats are given an injection of lithium chloride immediately following consumption of saccharin-flavored water. Lithium chloride makes rats feel sick. The rats in the other group were not given Lithium chloride after drinking the flavored water. The next day, all rats could drink saccharin-flavored water. The amount of saccharin-flavored water consumed (in milliliters) for all rat for the next day are given below. What can the psychologists conclude with α = 0.01?

lithium

no lithium

4
3
1
3
2
6
8
6
5

6
9
6
7
9
7
5
6
7


a) What is the appropriate test statistic?
---Select--- Independent-Samples t-test
b)
Condition 1:
---Select--- lithium

Condition 2:
---Select--- no lithium


c) Compute the appropriate test statistic(s) to make a decision about H0.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)

 

test statistic = -3.067

p-value = 0.007 ;

Decision:  ---Select--- Reject H0

Group Statistics

group

N

Mean

Std. Deviation

Std. Error Mean

VAR00002

lithium

9

4.22

2.224

.741

No lithium

9

6.89

1.364

.455

Independent Samples Test

Levene's Test for Equality of Variances

t-test for Equality of Means

F

Sig.

t

df

Sig. (2-tailed)

Mean Difference

Std. Error Difference

95% Confidence Interval of the Difference

Lower

Upper

VAR00002

Equal variances assumed

2.813

.113

-3.067

16

.007

-2.667

.870

-4.510

-.823

Equal variances not assumed

-3.067

13.275

.009

-2.667

.870

-4.541

-.792

d) Using the SPSS results, compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below.

d = ( 6.89-4.22)/sqrt((2.224^2+1.364^2)/2)= 1.447301


d = 1.45 ;   ---Select large effect
r2 =  ;   na

e) Make an interpretation based on the results.

Rats that were given lithium chloride drank significantly less saccharin-flavored water than those that were not given lithium chloride.    


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