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t Distribution Degrees of Freedom = 120 A .2500 -4.0 -3.0 -2.0 -1.0 .5000 .5000 .5000 0.0 -0.677 0.000 0.677 .2500 1.0 2.0 3.0 4.0 t After the speed-reading course, the students scored an average of 9 words per minute higher than before they began the speed-reading course. The standard deviation of the difference scores was s = 27. To calculate the t statistic, you must first calculate the estimated standard error. The estimated standard error is results, retain at least four decimal places from your calculation of the estimated standard error for use in calcula (Note: For best statistic.) 0.7639 Calculate the t statistic. The t statistic is 1.6710 2.4545 Use the tool to evaluate the null hypothesis. The t statistic hypothesis is The cognitive psychologist in the critical region for a one-taile sis test. Therefore, the null conclude that the speed-reading cours 1.9316 s reading speed. 4. A one-tailed hypothesis test for a repeated-measures design A cognitive psychologist is interested in whether taking a speed-reading course increases reading speed. She has students complete a reading speed test before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 121 students scored an average of 252 words per minute on the reading speed test. Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of MD is normal. She plans to use a repeated- measures t test. The cognitive psychologist identifies the null and alternative hypotheses as: H₁ HD H₁: HD 0 0 Use the Distributions tool to find the critical region(s) for a = 0.01. The critical t score, which is the value for t scores that separates the tail(s) from the main body of the distribution and forms the critical region(s), is . (Hint: Remember to set the degrees of freedom on the tool and to consider whether this is a one-tailed or two-tailed test.) 2.358 t Distribution Degrees of Freedom = 120

t Distribution Degrees of Freedom = 120 A .2500 -4.0 -3.0 -2.0 -1.0 .5000 .5000 .5000 0.0 -0.677 0.000 0.677 .2500 1.0 2.0 3.0 4.0 t After the speed-reading course, the students scored an average of 9 words per minute higher than before they began the speed-reading course. The standard deviation of the difference scores was s = 27. To calculate the t statistic, you must first calculate the estimated standard error. The estimated standard error is results, retain at least four decimal places from your calculation of the estimated standard error for use in calcula (Note: For best statistic.) 0.7639 Calculate the t statistic. The t statistic is 1.6710 2.4545 Use the tool to evaluate the null hypothesis. The t statistic hypothesis is The cognitive psychologist in the critical region for a one-taile sis test. Therefore, the null conclude that the speed-reading cours 1.9316 s reading speed. 4. A one-tailed hypothesis test for a repeated-measures design A cognitive psychologist is interested in whether taking a speed-reading course increases reading speed. She has students complete a reading speed test before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 121 students scored an average of 252 words per minute on the reading speed test. Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of MD is normal. She plans to use a repeated- measures t test. The cognitive psychologist identifies the null and alternative hypotheses as: H₁ HD H₁: HD 0 0 Use the Distributions tool to find the critical region(s) for a = 0.01. The critical t score, which is the value for t scores that separates the tail(s) from the main body of the distribution and forms the critical region(s), is . (Hint: Remember to set the degrees of freedom on the tool and to consider whether this is a one-tailed or two-tailed test.) 2.358 t Distribution Degrees of Freedom = 120

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
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t Distribution Degrees of Freedom = 120 A .2500 -4.0 -3.0 -2.0 -1.0 .5000 .5000 .5000 0.0 -0.677 0.000 0.677 .2500 1.0 2.0 3.0 4.0 t After the speed-reading course, the students scored an average of 9 words per minute higher than before they began the speed-reading course. The standard deviation of the difference scores was s = 27. To calculate the t statistic, you must first calculate the estimated standard error. The estimated standard error is results, retain at least four decimal places from your calculation of the estimated standard error for use in calcula (Note: For best statistic.) 0.7639 Calculate the t statistic. The t statistic is 1.6710 2.4545 Use the tool to evaluate the null hypothesis. The t statistic hypothesis is The cognitive psychologist in the critical region for a one-taile sis test. Therefore, the null conclude that the speed-reading cours 1.9316 s reading speed.
Transcribed Image Text:t Distribution Degrees of Freedom = 120 A .2500 -4.0 -3.0 -2.0 -1.0 .5000 .5000 .5000 0.0 -0.677 0.000 0.677 .2500 1.0 2.0 3.0 4.0 t After the speed-reading course, the students scored an average of 9 words per minute higher than before they began the speed-reading course. The standard deviation of the difference scores was s = 27. To calculate the t statistic, you must first calculate the estimated standard error. The estimated standard error is results, retain at least four decimal places from your calculation of the estimated standard error for use in calcula (Note: For best statistic.) 0.7639 Calculate the t statistic. The t statistic is 1.6710 2.4545 Use the tool to evaluate the null hypothesis. The t statistic hypothesis is The cognitive psychologist in the critical region for a one-taile sis test. Therefore, the null conclude that the speed-reading cours 1.9316 s reading speed.
4. A one-tailed hypothesis test for a repeated-measures design A cognitive psychologist is interested in whether taking a speed-reading course increases reading speed. She has students complete a reading speed test before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 121 students scored an average of 252 words per minute on the reading speed test. Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of MD is normal. She plans to use a repeated- measures t test. The cognitive psychologist identifies the null and alternative hypotheses as: H₁ HD H₁: HD 0 0 Use the Distributions tool to find the critical region(s) for a = 0.01. The critical t score, which is the value for t scores that separates the tail(s) from the main body of the distribution and forms the critical region(s), is . (Hint: Remember to set the degrees of freedom on the tool and to consider whether this is a one-tailed or two-tailed test.) 2.358 t Distribution Degrees of Freedom = 120
Transcribed Image Text:4. A one-tailed hypothesis test for a repeated-measures design A cognitive psychologist is interested in whether taking a speed-reading course increases reading speed. She has students complete a reading speed test before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 121 students scored an average of 252 words per minute on the reading speed test. Since the sample size is larger than 30, the cognitive psychologist can assume that the sampling distribution of MD is normal. She plans to use a repeated- measures t test. The cognitive psychologist identifies the null and alternative hypotheses as: H₁ HD H₁: HD 0 0 Use the Distributions tool to find the critical region(s) for a = 0.01. The critical t score, which is the value for t scores that separates the tail(s) from the main body of the distribution and forms the critical region(s), is . (Hint: Remember to set the degrees of freedom on the tool and to consider whether this is a one-tailed or two-tailed test.) 2.358 t Distribution Degrees of Freedom = 120
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