Exam 10: Independent Groups T-Test

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Dr.Johnson is studying the effects of aspirin on heart rate.He believes that aspirin will lower heart rate.He has 2 groups the treatment group receives 80mg of aspirin for a week (n=4)the control group received a placebo (n=4)and their heart rates are compared.Below is his data in which heart rate is beats per minute.He sets his alpha level at 0.05 and uses a directional test. Dr.Johnson is studying the effects of aspirin on heart rate.He believes that aspirin will lower heart rate.He has 2 groups the treatment group receives 80mg of aspirin for a week (n=4)the control group received a placebo (n=4)and their heart rates are compared.Below is his data in which heart rate is beats per minute.He sets his alpha level at 0.05 and uses a directional test.   What is Dr.Johnson's critical t-value? What is Dr.Johnson's critical t-value?

(Multiple Choice)
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What is an estimated pooled variance?

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The independent groups t test requires that n1 equal n2.

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Dr.Hansen believes a person taking Tylenol PM will sleep longer but will be drowsier during the day.One group of subjects took.Tylenol (n=5)for 1 month and reported the number of times he or she felt sleepy.The second group was given a placebo (n=5)and asked to log the number of times they felt sleepy with in a month.Sleepy was defined as the urge to sleep or to engage in micro-sleeps at some point in the day. a.Is there a significant difference between the 2 groups? (Directional and alpha level was set at .05) Dr.Hansen believes a person taking Tylenol PM will sleep longer but will be drowsier during the day.One group of subjects took.Tylenol (n=5)for 1 month and reported the number of times he or she felt sleepy.The second group was given a placebo (n=5)and asked to log the number of times they felt sleepy with in a month.Sleepy was defined as the urge to sleep or to engage in micro-sleeps at some point in the day. a.Is there a significant difference between the 2 groups? (Directional and alpha level was set at .05)     b.What is the nature of the relationship? c.What is the strength of the relationship based on eta<sup>2</sup>? d.Explain why you used an Independent t-test? b.What is the nature of the relationship? c.What is the strength of the relationship based on eta2? d.Explain why you used an Independent t-test?

(Essay)
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A physical therapist is interested in whether people with different bone structures will be affected differently by her new therapy program.She randomly chooses two groups of patients based on bone type: small-boned frame (XS)and large-boned frame (XL).Patients all had similar injuries.She measures the number of days each person takes to progress to a predetermined point.Here is the data: A physical therapist is interested in whether people with different bone structures will be affected differently by her new therapy program.She randomly chooses two groups of patients based on bone type: small-boned frame (X<sub>S</sub>)and large-boned frame (X<sub>L</sub>).Patients all had similar injuries.She measures the number of days each person takes to progress to a predetermined point.Here is the data:   Based on the computed t value,what can you conclude? Based on the computed t value,what can you conclude?

(Multiple Choice)
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Eta-squared indexes the _____ of the relationship between the independent and dependent variables since it represents the _____ of variability in the dependent variable that is associated with the independent variable.

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Like the standard error of the mean,the standard error of the difference is positively skewed.

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Which of the following is a numerical index that most reflects the influence of disturbance variables?

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Increasing ______ reduces the standard error of the difference.

(Short Answer)
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1.00 minus eta-squared represents the proportion of variability in the dependent variable that is not associated with the independent variable--that is,the proportion of sample variability that is due to disturbance variables.

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Which of the following conditions would make it inappropriate to use an independent-groups t test?

(Multiple Choice)
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A physical therapist is interested in whether people with different bone structures will be affected differently by her new therapy program.She randomly chooses two groups of patients based on bone type: small-boned frame (XS)and large-boned frame (XL).Patients all had similar injuries.She measures the number of days each person takes to progress to a predetermined point.Here is the data: A physical therapist is interested in whether people with different bone structures will be affected differently by her new therapy program.She randomly chooses two groups of patients based on bone type: small-boned frame (X<sub>S</sub>)and large-boned frame (X<sub>L</sub>).Patients all had similar injuries.She measures the number of days each person takes to progress to a predetermined point.Here is the data:   What is the observed value of the independent groups t test? What is the observed value of the independent groups t test?

(Multiple Choice)
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Which of the following assumptions applies to the independent groups t test?

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The independent groups t test is typically used to analyze the relationship between two variables when the dependent variable is quantitative in nature and is measured on a level that at least approximates interval characteristics,and when the independent variable is between-subjects and has two levels.

(True/False)
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Typically,research in the behavioral sciences involves _____ values of eta-squared.

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The standard error of the difference becomes smaller as the sample sizes _____ and the variability of the scores in the populations _____.

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Eta-squared can range from -1.0 to +1.0.

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The standard deviation of the sampling distribution of the difference between two independent means is called the:

(Multiple Choice)
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The estimated standard error of the difference is only influenced by the sample size.

(True/False)
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What factors influence the size of the standard error of the difference?

(Essay)
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