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A cognitive psychologist is interested in whether increasing reading speed reduces comprehension. She has students complete a reading comprehension task before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 81 students scored an average of 107 points on the reading comprehension task. 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: Ho HD H1 : UD 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), . (Hint: Remember to set the degrees of freedom on the tool and to consider whether this is a one-tailed or two-tailed test.) is

A cognitive psychologist is interested in whether increasing reading speed reduces comprehension. She has students complete a reading comprehension task before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 81 students scored an average of 107 points on the reading comprehension task. 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: Ho HD H1 : UD 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), . (Hint: Remember to set the degrees of freedom on the tool and to consider whether this is a one-tailed or two-tailed test.) is

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
Section10.6: Summarizing Categorical Data
Problem 30PPS
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A cognitive psychologist is interested in whether increasing reading speed reduces comprehension. She has students complete a reading comprehension task before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 81 students scored an average of 107 points on the reading comprehension task. 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: Ho HD H1 : UD 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), . (Hint: Remember to set the degrees of freedom on the tool and to consider whether this is a one-tailed or two-tailed test.) is
Transcribed Image Text:A cognitive psychologist is interested in whether increasing reading speed reduces comprehension. She has students complete a reading comprehension task before and after a six-week speed-reading course. In the beginning of the study, a randomly selected group of 81 students scored an average of 107 points on the reading comprehension task. 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: Ho HD H1 : UD 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), . (Hint: Remember to set the degrees of freedom on the tool and to consider whether this is a one-tailed or two-tailed test.) is
After the speed-reading course, the students scored an average of 7 points lower than before they began the speed-reading course. The standard deviation of the difference scores was s = 12. To calculate the t statistic, you must first calculate the estimated standard error. The estimated standard error is (Note: For best results, retain at least four decimal places from your calculation of the estimated standard error for use in calculating the t statistic.) Calculate the t statistic. The t statistic is Use the tool to evaluate the null hypothesis. The t statistic null hypothesis is . The cognitive psychologist in the critical region for a one-tailed hypothesis test. Therefore, the condude that increasing reading speed reduces comprehension.
Transcribed Image Text:After the speed-reading course, the students scored an average of 7 points lower than before they began the speed-reading course. The standard deviation of the difference scores was s = 12. To calculate the t statistic, you must first calculate the estimated standard error. The estimated standard error is (Note: For best results, retain at least four decimal places from your calculation of the estimated standard error for use in calculating the t statistic.) Calculate the t statistic. The t statistic is Use the tool to evaluate the null hypothesis. The t statistic null hypothesis is . The cognitive psychologist in the critical region for a one-tailed hypothesis test. Therefore, the condude that increasing reading speed reduces comprehension.
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