A musicologist is attempting to determine the mean length of modern pop songs. She conducts a sample of 40 songs, and finds a sample mean of 211 seconds., with a standard deviation of 12 secods. Assume that the distribution of lengths of pop songs is nearly normal. Define your variable: O Let p be the proportion of pop song that are seconds long. O Let p be the proprotion of songs in the sample. O Let u be the mean length of the sampled pop songs, in seconds. o Let u be the mean length of pop songs, in seconds.. Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. Select an answer and seconds. What is the margin of error? Round your answer to one decimal place. seconds. According to Google, the mean length of pop songs is 210. What do you think of this claim? O The claim is inside the interval. It must be true. O The claim is inside the interval. It is reasonable. O That claim is not in our interval, We do not believe it.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A musicologist is attempting to determine the mean length of
modern pop songs. She conducts a sample of 40 songs, and finds
a sample mean of 211 seconds., with a standard deviation of 12
secods. Assume that the distribution of lengths of pop songs is
nearly normal.
Define your variable:
O Let p be the proportion of pop song that are seconds long.
Let p be the proprotion of songs in the sample.
O Let u be the mean length of the sampled pop songs, in
seconds.
O Let u be the mean length of pop songs, in seconds...
Create and interpret a 95% Confidence Interval. Round your
answers to one decimal place.
Select an answer
and
seconds.
What is the margin of error? Round your answer to one decimal
place.
seconds.
According to Google, the mean length of pop songs is 210. What
do you think of this claim?
O The claim is inside the interval. It must be true.
The claim is inside the interval. It is reasonable.
That claim is not in our interval. We do not believe it.
The claim is above the sample mean, so there is no way it
can be true.
Transcribed Image Text:A musicologist is attempting to determine the mean length of modern pop songs. She conducts a sample of 40 songs, and finds a sample mean of 211 seconds., with a standard deviation of 12 secods. Assume that the distribution of lengths of pop songs is nearly normal. Define your variable: O Let p be the proportion of pop song that are seconds long. Let p be the proprotion of songs in the sample. O Let u be the mean length of the sampled pop songs, in seconds. O Let u be the mean length of pop songs, in seconds... Create and interpret a 95% Confidence Interval. Round your answers to one decimal place. Select an answer and seconds. What is the margin of error? Round your answer to one decimal place. seconds. According to Google, the mean length of pop songs is 210. What do you think of this claim? O The claim is inside the interval. It must be true. The claim is inside the interval. It is reasonable. That claim is not in our interval. We do not believe it. The claim is above the sample mean, so there is no way it can be true.
Let p be the proprotion of songs in the sample.
O Let u be the mean length of the sampled pop song
seconds.
O Let u be the mean length of pop songs, in seconds
Create and interpret a 95% Confidence Interval. Rounc
answers to one decimal place.
Select an answer
nds.
V Select an answer
to one
95% of the sampled pop
A
songs are between
ngs is
d
true.
We are 95% confident
that the mean length of
able.
believ
pop songs, in seconds is
between
ere is r
95% of all pop songs
are between
Vs is m
hich s
Y
e
We are 95% confident
tl
that the mean length of
the sampled pop songs, in
seconds, is between
Define your variable:
Transcribed Image Text:Let p be the proprotion of songs in the sample. O Let u be the mean length of the sampled pop song seconds. O Let u be the mean length of pop songs, in seconds Create and interpret a 95% Confidence Interval. Rounc answers to one decimal place. Select an answer nds. V Select an answer to one 95% of the sampled pop A songs are between ngs is d true. We are 95% confident that the mean length of able. believ pop songs, in seconds is between ere is r 95% of all pop songs are between Vs is m hich s Y e We are 95% confident tl that the mean length of the sampled pop songs, in seconds, is between Define your variable:
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