7.104 Average hours per week on the Internet. The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students." Recently, the Student Monitor reported that the average amount of time spent per week on the Internet was 19.0 hours. You suspect that this amount is far too small for your campus and plan a survey. (a) You feel that a reasonable estimate of the standard deviation is 10.0 hours. What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence? (b) The distribution of times is likely to be heavily skewed to the right. Do you think that this skewness will invalidate the use of the t confidence interval in this case? Explain your answer.

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Author:Amos Gilat
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book name-Introduction to the practice of the statistics, 7th chapter

7.104 Average hours per week on the Internet. The
Student Monitor surveys 1200 undergraduates from
100 colleges semiannually to understand trends among
college students." Recently, the Student Monitor reported
that the average amount of time spent per week on the
Internet was 19.0 hours. You suspect that this amount is
far too small for your campus and plan a survey.
(a) You feel that a reasonable estimate of the standard
deviation is 10.0 hours. What sample size is needed so
that the expected margin of error of your estimate is not
larger than one hour for 95% confidence?
(b) The distribution of times is likely to be heavily
skewed to the right. Do you think that this skewness
will invalidate the use of the t confidence interval in this
case? Explain your answer.
Transcribed Image Text:7.104 Average hours per week on the Internet. The Student Monitor surveys 1200 undergraduates from 100 colleges semiannually to understand trends among college students." Recently, the Student Monitor reported that the average amount of time spent per week on the Internet was 19.0 hours. You suspect that this amount is far too small for your campus and plan a survey. (a) You feel that a reasonable estimate of the standard deviation is 10.0 hours. What sample size is needed so that the expected margin of error of your estimate is not larger than one hour for 95% confidence? (b) The distribution of times is likely to be heavily skewed to the right. Do you think that this skewness will invalidate the use of the t confidence interval in this case? Explain your answer.
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