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In a recent survey, it was stated that Filipino teens watch television on average 3.5 hours per day. A teacher believes the time spent on television of students in a particular school is lower than the national average. Using a sample of 20 from the school, the mean time spent on studying per day is 3.1 hours with standard deviation 1.7 hours. Is this enough evidence to say that the students in the school is lower than the national average in terms of time spent on television per day at 5% level of significance? Assume that the time spent on television is normally distributed and o = 2. a. In words, define the random variable X = b. Hо: с. На: d. The level of significance is Determine the test statistic using the data (show solution). f. Provide the decision rule of the test. g. Decision: h. Write a clear conclusion. You may use the sample format:

In a recent survey, it was stated that Filipino teens watch television on average 3.5 hours per day. A teacher believes the time spent on television of students in a particular school is lower than the national average. Using a sample of 20 from the school, the mean time spent on studying per day is 3.1 hours with standard deviation 1.7 hours. Is this enough evidence to say that the students in the school is lower than the national average in terms of time spent on television per day at 5% level of significance? Assume that the time spent on television is normally distributed and o = 2. a. In words, define the random variable X = b. Hо: с. На: d. The level of significance is Determine the test statistic using the data (show solution). f. Provide the decision rule of the test. g. Decision: h. Write a clear conclusion. You may use the sample format:

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 27PPS
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2. In a recent survey, it was stated that Filipino teens watch television on average 3.5 hours per day. A teacher believes the time spent on television of students in a particular school is lower than the national average. Using a sample of 20 from the school, the mean time spent on studying per day is 3.1 hours with standard deviation 1.7 hours. Is this enough evidence to say that the students in the school is lower than the national average in terms of time spent on television per day at 5% level of significance? Assume that the time spent on television is normally distributed and o = 2. a. In words, define the random variable X =, b. Но: с. На: d. The level of significance is Determine the test statistic using the data (show solution). f. Provide the decision rule of the test. g. Decision: h. Write a clear conclusion. You may use the sample format: <There is / There is no> sufficient evidence to reject the mull hypothesis that <insert null hypothesis in words> at < % level of significance>.
Transcribed Image Text:2. In a recent survey, it was stated that Filipino teens watch television on average 3.5 hours per day. A teacher believes the time spent on television of students in a particular school is lower than the national average. Using a sample of 20 from the school, the mean time spent on studying per day is 3.1 hours with standard deviation 1.7 hours. Is this enough evidence to say that the students in the school is lower than the national average in terms of time spent on television per day at 5% level of significance? Assume that the time spent on television is normally distributed and o = 2. a. In words, define the random variable X =, b. Но: с. На: d. The level of significance is Determine the test statistic using the data (show solution). f. Provide the decision rule of the test. g. Decision: h. Write a clear conclusion. You may use the sample format: <There is / There is no> sufficient evidence to reject the mull hypothesis that <insert null hypothesis in words> at < % level of significance>.
5. College instructors prefer to have their students participate actively in class. In a remote learning setting, it is ideal to set synchronous online meeting once in a while. Suppose a researcher claims that the time of these synchronous meetings affects the students' participation. To test this claim, the researcher conducted an experiment of randomly assigning 40 students to 4 different timeslots of online meetings. Student participation was measured by counting the number of times students asked and answered questions. The data is presented below. 8:00 A.M. 10:00 A.M. 1:00 P.M. 4:00 Р.М. 9 15 7 10 14 12 8 4 10 16 4 10 15 8 7 14 13 6 11 8 13 13 7 13 14 12 20 7 5 14 12 6 5 6 12 5 8.
Transcribed Image Text:5. College instructors prefer to have their students participate actively in class. In a remote learning setting, it is ideal to set synchronous online meeting once in a while. Suppose a researcher claims that the time of these synchronous meetings affects the students' participation. To test this claim, the researcher conducted an experiment of randomly assigning 40 students to 4 different timeslots of online meetings. Student participation was measured by counting the number of times students asked and answered questions. The data is presented below. 8:00 A.M. 10:00 A.M. 1:00 P.M. 4:00 Р.М. 9 15 7 10 14 12 8 4 10 16 4 10 15 8 7 14 13 6 11 8 13 13 7 13 14 12 20 7 5 14 12 6 5 6 12 5 8.
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