From the list given to you for each of the following hypothesis testing situatio
ID: 3170226 • Letter: F
Question
From the list given to you for each of the following hypothesis testing situations, indicate the test you would use and the reason (e.g. One sample test for the variance of a normal distribution)
One sample z test for the mean of a normal distribution with known variance (Test 1)
One Sample T Test for the Mean of a Normal Distribution with unknown Variance (Test 2)
The paired t-test (Test 3)
Independent sample t-test for unequal variances (Test 4)
Independent sample t-test for equal variances (Test 5)
Researchers are interested in studying about the prevalence of eating disorders among different cultures. They take 297 students from a university in Ethiopia and 249 students from a university in Ecuador. Each student is tested on the Eating Attitudes test and the Goldfarb Fear of Fat Scale. The groups’ scores are compared with one another. On a comparison of means between the Ethiopian and Ecuadorian participants, the Ecuadorian students scored higher on both of the tests. The researchers assumed that the data was normally distributed. The results for the Eating Attitudes Test were t(544) = -4.19, p <.001, and the results of the Goldfarb Fear of Fat Scale were t(544) = -7.64, p <.001
Test______________ Why?
A researcher was interested to evaluate the use of a Medical Outcomes Study (MOS) Sleep Scale as a measure of sleep problems among a group of patients. The researcher compared the participants’ sleeping scores with national norms. The null hypothesis was that the sample average and the population average were equal. Baseline MOS Sleep Scale scores were statistically (P<0.001) and substantially poorer than general population values.
Test (1)one sample z test_____ Why?
A researcher wants to assess whether there is a difference in the average time that athletes vs non-athletes take to run a mile.
The researcher obtains the following SPSS output.
Group Statistics
Athlete
N
Mean
Std. Deviation
Std. Error Mean
MileMinDur
0
226
0:09:06
0:02:01.668
0:00:08.093
1
166
0:06:51
0:00:49.464
0:00:03.839
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
MileMinDur
Equal variances assumed
102.975
.000
13.475
390
.000
0:02:14.783
0:00:10.003
0:01:55.118
0:02:34.449
Equal variances not assumed
15.047
315.846
.000
0:02:14.783
0:00:08.958
0:01:57.159
0:02:32.408
Test____________________ Why?
Group Statistics
Athlete
N
Mean
Std. Deviation
Std. Error Mean
MileMinDur
0
226
0:09:06
0:02:01.668
0:00:08.093
1
166
0:06:51
0:00:49.464
0:00:03.839
Explanation / Answer
a) Ethiopia and Ecuador
Independent sample t-test for equal variances (Test 5), because the sample varioances are unknown, so we considered the variances are equal in our assumption.
b) because the population size must be greater than 30
c) Independent sample t-test for equal variances (Test 5)
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