Calculate a 95% confidence interval for the mean time spent studying statistics by students in this class.
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1 A questionnaire about study habits was given to a random sample of students taking a large introductory statistics class. The sample of 36 students reported that they spent an average of 110 minutes per week studying statistics. The standard deviation s is 40 minutes. Calculate a 95% confidence interval for the mean time spent studying statistics by students in this class. A. (70.00, ) B. (103.33, ) C. (96.93, ) D. (96.39, )
2 <latexit sha1_base64="a32ma6yhktoyipjzihg6fcvydms=">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</latexit> A questionnaire about study habits was given to a random sample of students taking a large introductory statistics class. The sample of 36 students reported that they spent an average of 110 minutes per week studying statistics. The standard deviation s is 40 minutes. Calculate a 95% confidence interval for the mean time spent studying statistics by students in this class. A. (70.00, ) B. (103.33, ) C. (96.93, ) D. (96.39, ) x ± t? s p n 110 ± 2.042p 40 36
3 What is the correct interpretation of the 95% confidence interval: (96.39,123.61)? A. 95% of the time the mean time spent studying statistics by all students in the class is between and B. There is a 95% probability that the mean time spent studying statistics by all students in the class is between and C. I am 95% confident that the mean time spent studying statistics by all students in the class is between and D. I am 95% confident that mean time spent studying statistics by the 36 students in my sample is between and
4 What is the correct interpretation of the 95% confidence interval: (96.39,123.61)? A. 95% of the time the mean time spent studying statistics by all students in the class is between and B. There is a 95% probability that the mean time spent studying statistics by all students in the class is between and C. I am 95% confident that the mean time spent studying statistics by all students in the class is between and D. I am 95% confident that mean time spent studying statistics by the 36 students in my sample is between and
5 It is said that sleep is an important factor in cognitive ability. To study this hypothesis, a researcher recruits a random sample of 57 students to participate in a sleep study. The researcher assigns each student to sleep less than 4 hours and then administers a cognitive test where the average on the exam (under normal sleep conditions) is 50. The average score of the 57 students on the cognitive exam was 48 with a standard deviation of 3. What is the t* value used in a 90% confidence interval for the mean? A B C D
6 It is said that sleep is an important factor in cognitive ability. To study this hypothesis, a researcher recruits a random sample of 57 students to participate in a sleep study. The researcher assigns each student to sleep less than 4 hours and then administers a cognitive test where the average on the exam (under normal sleep conditions) is 50. The average score of the 57 students on the cognitive exam was 48 with a standard deviation of 3. What is the t* value used in a 90% confidence interval for the mean? A B C D
7 It is said that sleep is an important factor in cognitive ability. To study this hypothesis, a researcher recruits a random sample of 57 students to participate in a sleep study. The researcher assigns each student to sleep less than 4 hours and then administers a cognitive test where the average on the exam (under normal sleep conditions) is 50. The average score of the 57 students on the cognitive exam was 48 with a standard deviation of 3. The 90% confidence interval is (47.33, 48.67). Which of the following is a correct interpretation of this interval? A. I am 90% confident that the mean exam score of all students with 4 hours of sleep is between and B. I am 90% confident that the mean exam score of the 57 students with 4 hours of sleep is between and C. 90% of the time the mean exam score of all students with 4 hours of sleep will be between and D. 90% of all students with 4 hours of sleep will have a score between and
8 It is said that sleep is an important factor in cognitive ability. To study this hypothesis, a researcher recruits a random sample of 57 students to participate in a sleep study. The researcher assigns each student to sleep less than 4 hours and then administers a cognitive test where the average on the exam (under normal sleep conditions) is 50. The average score of the 57 students on the cognitive exam was 48 with a standard deviation of 3. The 90% confidence interval is (47.33, 48.67). Which of the following is a correct interpretation of this interval? A. I am 90% confident that the mean exam score of all students with 4 hours of sleep is between and B. I am 90% confident that the mean exam score of the 57 students with 4 hours of sleep is between and C. 90% of the time the mean exam score of all students with 4 hours of sleep will be between and D. 90% of all students with 4 hours of sleep will have a score between and
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