# UCLA Budget Lapsing and Random Samples Questions

Question Description

I’m working on a economics question and need guidance to help me learn.

3 attachmentsSlide 1 of 3attachment_1attachment_1attachment_2attachment_2attachment_3attachment_3.slider-slide > img { width: 100%; display: block; }
.slider-slide > img:focus { margin: auto; }

Unformatted Attachment Preview

e. Is the assumption that the underlying population of measurements is normally
distributed necessary to ensure the validity of the confidence intervals in parts a-d?
2
ECON 15B
3. A package of light bulbs promises an average life of more than 750 hours per bulb. A consumer
group did not believe the claim and tested a sample of 40 bulbs. The average lifetime of these
40 bulbs was 740 hours with s = 30 hours. The manufacturer responded that its claim was
based on testing hundreds of bulbs.
a. If the consumer group and manufacturer both make 95% confidence intervals for the
population’s average lifetime, whose will probably be shorter?
Can you tell for certain?
b. Given the usual sampling assumptions, is there a 95% probability that 750 lies in the
95% confidence interval of the manufacturer?
C.
Is the manufacturer’s confidence interval more likely to contain the population mean
because it is based on a larger sample?
3
ECON 15B
2. A random sample of n measurements was selected from a population with unknown mean u
and known standard deviation o. Calculate a 95% confidence interval for u for each of the
following situations:
a. n = 75, 7 = 28,02 = 12
b. n = 200, x = 102,02 = 22
c. n = 100,X = 15,0 = .3
d. n = 100, X = 4.05,0 = .83
e. Is the assumption that the underlying population of measurements is normally
distributed necessary to ensure the validity of the confidence intervals in parts a-d?
2
ECON 15B
3. A package of light bulbs promises an average life of more than 750 hours per bulb. A consumer
group did not believe the claim and tested a sample of 40 bulbs. The average lifetime of these
40 bulbs was 740 hours with s = 30 hours. The manufacturer responded that its claim was
based on testing hundreds of bulbs.
a. If the consumer group and manufacturer both make 95% confidence intervals for the
population’s average lifetime, whose will probably be shorter?
ECON 15B
Homework 3
1. Budget lapsing occurs when unspent funds do not carry over from one budgeting period to the
next. Because budget lapsing often leads to a spike in expenditures at the end of the fiscal year,
the researchers recorded expenses per full-time equivalent employee for each in a sample of
1,751 army hospitals. The sample yielded the following summary statistics: # = \$6,563 and s =
\$2,484. Estimate the mean expenses for full-time equivalent employee of all U.S. army hospitals
using a 90% confidence interval. Interpret the result.
1
ECON 15B
2. A random sample of n measurements was selected from a population with unknown mean u
and known standard deviation o. Calculate a 95% confidence interval for u for each of the
following situations:
a. n = 75, 7 = 28,02 = 12
b
n = 200 ? = 102,2 = 22

attachment

4 Questions

Tags:
standard deviation

confidence interval

Lower Limit

Upper limit

budget lapsing

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with FENTYESSAYS.COM ESSAY’s honor code & terms of service.