A researcher wants to estimate the average number of days/week UNBC students engage in physical exercises in response to a national fitness magazine article suggesting that the average students in Canada does not engage in physical exercises. She is planning to select a simple random sample of students using the list of currently enrolled students at UNBC after receiving approval from the Research Ethics Board. a. To estimate the average number of days students engage in physical exercises to within 2.5% with a 95% Confidence level, how large should her sample size be if the assumed population standard deviation is 1.5? b. Assuming that based on the above calculated sample size, the researcher observed that the sample average engagement in physical exercise is 2.5 days/week. With a population standard deviation of 1.5, find the 99% confidence interval of this estimate C. What can you say about the 99% Confidence Interval calculated in part b above?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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A researcher wants to estimate the average number of days/week UNBC students engage in
physical exercises in response to a national fitness magazine article suggesting that the average
students in Canada does not engage in physical exercises. She is planning to select a simple random
sample of students using the list of currently enrolled students at UNBC after receiving approval
from the Research Ethics Board.

a.
To estimate the average number of days students engage in physical exercises to within 2.5%
with a 95% Confidence level, how large should her sample size be if the assumed population
standard deviation is 1.5?

b.
Assuming that based on the above calculated sample size, the researcher observed that the
sample average engagement in physical exercise is 2.5 days/week. With a population standard
deviation of 1.5, find the 99% confidence interval of this estimate

C.
What can you say about the 99% Confidence Interval calculated in part b above?

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