Suppose that a student collects sample data on how long (in seconds) songs are that get played on a popular hip-hop radio station in 2021. A) Based on the sample data, the student finds a sample mean of 165.9 seconds and a margin or errorof 3.6 seconds calculates a 95% confidence interval to be (162.3, 169.5). Interpret what this means in context. B) In 2019 the average song length of the most played songs on this radio station was 168.9 seconds Do you think this confidence interval provides sufficient evidence that the the mean song length is shorter now than it was in 2019? Explain. C) The students takes a random sample of 100 songs played on the station and finds a mean time of 164.7 seconds and a standard deviation of 25.9 seconds. Calculate the margin of error for a 95% confidence interval. D) Give a possible explanation for why the margin of error in part C is larger than the margin of error in part A? ## Assignment Details### MATH219 #98955 Online (Fall 2021)Suppose that a student collects sample data on how long (in seconds) songs are that get played on a popular hip-hop radio station in 2021.**A)** Based on the sample data, the student finds a sample mean of 165.9 seconds and a margin of error of 3.6 seconds, calculating a 95% confidence interval to be (162.3, 169.5). Interpret what this means in context.**B)** In 2019, the average song length of the most played songs on this radio station was 168.9 seconds. Do you think this confidence interval provides sufficient evidence that the mean song length is shorter now than it was in 2019? Explain.**C)** The student takes a random sample of 100 songs played on the station and finds a mean time of 164.7 seconds and a standard deviation of 25.9 seconds. Calculate the margin of error for a 95% confidence interval.**D)** Give a possible explanation for why the margin of error in part C is larger than the margin of error in part A.

A) Given, 95% confidence interval for the true mean : (162.3, 169.5). Lower confidence limit…

Answered: Suppose that a student collects sample…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Suppose that a student collects sample data on how long (in seconds) songs are that get played on a popular hip-hop radio station in 2021.

A) Based on the sample data, the student finds a sample mean of 165.9 seconds and a margin or errorof 3.6 seconds calculates a 95% confidence interval to be (162.3, 169.5). Interpret what this means in context.

B) In 2019 the average song length of the most played songs on this radio station was 168.9 seconds Do you think this confidence interval provides sufficient evidence that the the mean song length is shorter now than it was in 2019? Explain.

C) The students takes a random sample of 100 songs played on the station and finds a mean time of 164.7 seconds and a standard deviation of 25.9 seconds. Calculate the margin of error for a 95% confidence interval.

D) Give a possible explanation for why the margin of error in part C is larger than the margin of error in part A?