In 1974, Loftus and Palmer conducted a classic study demonstrating how the language used to ask a question can influence eyewitness memory. In the study, college students watched a film of an automobile accident and then were asked questions about what they saw. One group was asked, “About how fast were the cars 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 “smashed into” the group reported significantly higher estimates of speed than the “hit” group. Suppose a researcher repeats this study with a sample of today’s college students and obtains the following results. Estimated Speed Smashed Into Hit n = 16 n = 16 M = 40.8 M = 34.0 SS = 510 SS = 414 For this problem, complete the four stages of hypothesis testing to determine whether the assumption of homogeneity of variance is met. (Note: This problem is NOT asking you to conduct an independent-samples t-test.) Use a nondirectional alternative hypothesis and α = 0.01.  (1) Identify the two hypotheses. (2) Determine the critical statistic for your decision  (3) Compute the test statistic (4) Use the test statistic to make a decision and interpret that decision

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 13CYU
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In 1974, Loftus and Palmer conducted a classic study demonstrating how the language used to ask a question can influence eyewitness memory. In the study, college students watched a film of an automobile accident and then were asked questions about what they saw. One group was asked, “About how fast were the cars 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 “smashed into” the group reported significantly higher estimates of speed than the “hit” group. Suppose a researcher repeats this study with a sample of today’s college students and obtains the following results.

Estimated Speed
Smashed Into Hit
n = 16 n = 16
M = 40.8 M = 34.0
SS = 510 SS = 414

For this problem, complete the four stages of hypothesis testing to determine whether the assumption of homogeneity of variance is met. (Note: This problem is NOT asking you to conduct an independent-samples t-test.) Use a nondirectional alternative hypothesis and α = 0.01. 

(1) Identify the two hypotheses.
(2) Determine the critical statistic for your decision 
(3) Compute the test statistic
(4) Use the test statistic to make a decision and interpret that decision 

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