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? 7:32Assignment DetailsMATH219 #98955 Online (Fall 2021)ВackSuppose that a student collects sample data on howlong (in seconds) songs are that get played on apopular hip-hop radio station in 2021.A) Based on the sample data, the student finds asample mean of 165.9 seconds and a margin or errorof 3.6 seconds calculates a 95% confidence interval tobe (162.3, 169.5). Interpret what this means incontext.B) In 2019 the average song length of the most playedsongs on this radio station was 168.9 seconds Do youthink this confidence interval provides sufficientevidence that the the mean song length is shorter nowthan it was in 2019? Explain.C) The students takes a random sample of 100 songsplayed on the station and finds a mean time of 164.7seconds and a standard deviation of 25.9 seconds.Calculate the margin of error for a 95% confidenceinterval.D) Give a possible explanation for why the margin oferror in part C is larger than the margin of error in partA?Submit Assignment( PreviousNext >10DashboardCalendarТo DoNotificationsInbox

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

Answered: Suppose that a student collects sample…

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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?

7:32
Assignment Details
MATH219 #98955 Online (Fall 2021)
Вack
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 error
of 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?
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Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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