Loftus and Palmer study (1974) demonstrated the influence of language on eyewitness memory. Participants watched a film of a car accident and were asked questions about what they saw. One group was asked “About how fast the cars were going when they smashed into each other?” Another group was asked the same question, except the verb was changed to “hit” instead of “smashed into”. The ‘smasher into” group reported significantly higher estimates of speed than the hit group. Suppose a researcher repeats this study with two samples of college students and obtains the following results:
Estimated Speed |
|
Smashed into |
hit |
n = 15 |
n = 15 |
M = 40.8 |
M = 34.0 |
SS = 510 |
SS = 414 |
Is there a significantly higher estimated speed for the “smashed into” group? Use a one-tailed test with α = .01.
a)The critical t value is
(Note: leave the 4 decimal places after the decimal point)
b)Use the data to make a 99% confidence interval estimate of the mean difference in estimate speed between the “smashed into” group and the “hit” group
The lower limit of the confidence interval is:
c)Use the data to make a 99% confidence interval estimate of the mean difference in estimate speed between the “smashed into” group and the “hit” group
The upper limit of the confidence interval is:
a)The critical t value is
2.4671
(Note: leave the 4 decimal places after the decimal point)
b)Use the data to make a 99% confidence interval estimate of the mean difference in estimate speed between the “smashed into” group and the “hit” group
The lower limit of the confidence interval is:
-14.8876
c)Use the data to make a 99% confidence interval estimate of the mean difference in estimate speed between the “smashed into” group and the “hit” group
The upper limit of the confidence interval is:
28.4876
The output is:
1 | 2 | |
40.8 | 34 | mean |
22.58317958 | 20.34698995 | std. dev. |
15 | 15 | n |
28 | df | |
6.8000 | difference (1 - 2) | |
462.0000 | pooled variance | |
21.4942 | pooled std. dev. | |
7.8486 | standard error of difference | |
-14.8876 | confidence interval 99.% lower | |
28.4876 | confidence interval 99.% upper | |
21.6876 | margin of error |
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