If the population standard deviation is known to be 4.7 hours, and a random sample of 35 analysts yielded a mean of 50.5 hours, then construct a 90% confidence interval for the mean number of hours worked by entry level analysts. B) In the above confidence interval, suppose that we want a margin of error of +/- 1 hour. What sample size would be needed to achieve this? C) As mentioned in class, it is unlikely that the population standard deviation is known. Suppose instead that the sample standard deviation was 4.7 hours. Using the other values from part (a), form a 90% confidence interval for the mean number of hours worked by entry level analysts.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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  1. A survey of entry level corporate analysts in New York City asked, approximately how many hours per week do you work?

A) If the population standard deviation is known to be 4.7 hours, and a random sample of 35 analysts yielded a mean of 50.5 hours, then construct a 90% confidence interval for the mean number of hours worked by entry level analysts.

B) In the above confidence interval, suppose that we want a margin of error of +/- 1 hour. What sample size would be needed to achieve this?

C) As mentioned in class, it is unlikely that the population standard deviation is known. Suppose instead that the sample standard deviation was 4.7 hours. Using the other values from part (a), form a 90% confidence interval for the mean number of hours worked by entry level analysts.

4. A survey of entry level corporate analysts in New York City asked, approximately how many
hours per week do you work?
(a) If the population standard deviation is known to be 4.7 hours, and a random sample of 35
analysts yielded a mean of 50.5 hours, then construct a 90% confidence interval for the
mean number of hours worked by entry level analysts.
(b) In the above confidence interval, suppose that we want a margin of error of +/- 1 hour.
What sample size would be needed to achieve this?
(c) As mentioned in class, it is unlikely that the population standard deviation is known.
Suppose instead that the sample standard deviation was 4.7 hours. Using the other values
from part (a), form a 90% confidence interval for the mean number of hours worked by
entry level analysts.
Transcribed Image Text:4. A survey of entry level corporate analysts in New York City asked, approximately how many hours per week do you work? (a) If the population standard deviation is known to be 4.7 hours, and a random sample of 35 analysts yielded a mean of 50.5 hours, then construct a 90% confidence interval for the mean number of hours worked by entry level analysts. (b) In the above confidence interval, suppose that we want a margin of error of +/- 1 hour. What sample size would be needed to achieve this? (c) As mentioned in class, it is unlikely that the population standard deviation is known. Suppose instead that the sample standard deviation was 4.7 hours. Using the other values from part (a), form a 90% confidence interval for the mean number of hours worked by entry level analysts.
4. A survey of entry level corporate analysts in New York City asked, approximately how many
hours per week do you work?
(a) If the population standard deviation is known to be 4.7 hours, and a random sample of 35
analysts yielded a mean of 50.5 hours, then construct a 90% confidence interval for the
mean number of hours worked by entry level analysts.
(b) In the above confidence interval, suppose that we want a margin of error of +/- 1 hour.
What sample size would be needed to achieve this?
(c) As mentioned in class, it is unlikely that the population standard deviation is known.
Suppose instead that the sample standard deviation was 4.7 hours. Using the other values
from part (a), form a 90% confidence interval for the mean number of hours worked by
entry level analysts.
Transcribed Image Text:4. A survey of entry level corporate analysts in New York City asked, approximately how many hours per week do you work? (a) If the population standard deviation is known to be 4.7 hours, and a random sample of 35 analysts yielded a mean of 50.5 hours, then construct a 90% confidence interval for the mean number of hours worked by entry level analysts. (b) In the above confidence interval, suppose that we want a margin of error of +/- 1 hour. What sample size would be needed to achieve this? (c) As mentioned in class, it is unlikely that the population standard deviation is known. Suppose instead that the sample standard deviation was 4.7 hours. Using the other values from part (a), form a 90% confidence interval for the mean number of hours worked by entry level analysts.
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