The rise of streaming brought the rise of binge-watching, consuming episode afte

Question

The rise of streaming brought the rise of binge-watching, consuming episode after episode of a show without the pesky problem of having to wait a weelk in between. Now binge-watching, it seems, has brought the rise of what Netflix calls binge-racing. The binge-racer will gorge on an entire season of a highly anticipated show within 24 hours of its premiere on the streaming platform. According to BingeClock.com, Breaking Bad fans take an average of 62 hours (2 days and 14 hours) to get through the entire 5 seasons of the show. We would like to estimate the population average number of hours Breaking Bad fans who are college students will take to get through the entire 5 seasons of the show. We surveyed 40 college students who identifyed as Breaking Bad fans. The survey resulted in an average of 78 hours and a standard deviation of 5.75 hours to get through the entire 5 sesons of the show. Question 4 Subquestions 4.a Construct a 98% confidence interval to estimate the population average number of hours Breaking Bad fans who are college students will take to get through the entire 5 seasons of the show. Provide the formula you will use and substitute all parts to show your work. 2 point(s) No answer entered. Click above to enter an answer 4.b The first condition that must be satisfied is that we have a random sample of college students who are fans of Breaking Bad. Is the following statement about the remaining condition correct or incorrect? We must have a sample size n that is large enough, namely, larger than 25. 1 pointis) Correct Incorrect 4.C Which of the following interpretations regarding the 98% confidence level are correct? Select all that are correct. 1 pointis) If the procedure is repeated many times, we would expect 98% of the resulting confidence intervals to contain the sample mean number of hours Breaking Bad fans who are college students will take to get through the entire 5 seasons of the show If the procedure is repeated many times, we would expect 98% of the resulting confidence intervals to contain the population mean number of hours Breaking Bad fans who are college students will take to get through the entire 5 seasons of the show If the procedure is repeated many times, 98% of the time the interval computed in part (a) will contain the population mean number of hours Breaking Bad fans who are college students will take to get through the entire 5 seasons of the show. If the procedure is repeated many times, we would expect the population mean number of hours Breaking Bad fans who are college students will take to get through the entire 5 seasons of the show to fall in 98% of the resulting 98% confidence intervals

Explanation / Answer

Answer to part a)

Sample mean (x bar) = 78

Standard deviation s = 5.75

sample size n = 40

confidence level = 98%

thus Z = 2.33

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The formula of confidence interval is:

x bar - z * s / sqrt(n) , x bar + z * s / sqrt(n)

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On plugging the values we get

78 - 2.33 *5.75 /sqrt(40) , 78 +2.33 *5.75 /sqrt(40)

75.8817 , 80.1183

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Answer to part b)

this statment is not correct

For the central limit ot apply and the sample to follow normal distribution , the sample size be large enough , which is the sample size must be 30 or larger

.

Answer to part c)

The second and third statements interpret the confidence interval correctly

confidence interval tells us , that out of several samples 98% of them will contain the true population mean in it , or we cna say , 98% of the times the confidence interval will contain the true population mean. Both the ways we express the same concept of confidence intervals

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