Question

A manufacturing company produces electric insulators. You define the variable of interest as the strength of the insulators. If the insulators break when in use, a short circuit is likely. To test the strength of the insulators, you carry out destructive testing to determine how much force is required to break the insulators. You measure force by observing how many pounds are applied to the insulator before it breaks. The accompanying data represent the amount of force required to break a sample of 30 insulators. Complete parts (a) through (c) below. LOADING... Click the icon to view the data.

a. Construct a 99% confidence interval for the population mean force. nothingless than or equalsmuless than or equals nothing (Round to the nearest integer as needed.)

b. What assumption must you make about the population distribution in order to construct the confidence interval estimate in (a)?

A. The population distribution is unimodal and not extremely skewed.

B. The population standard deviation is known.

C. The population distribution is not normally distributed.

D. The population distribution is uniformly distributed. c.

Do you think that the assumption needed in order to construct the confidence interval estimate in (a) is valid? Explain. The assumption is ▼ in serious doubt reasonable for n equals nothing since ▼ an appropriate plot shows that the sample distribution is not uniformly distributed. the population standard deviation is known. an appropriate plot shows that the sample distribution is uniformly distributed. the population standard deviation is not known. an appropriate plot shows that the sample distribution is not extremely skewed. the sample size is less than 30. the sample size is at least 30. an appropriate plot shows that the sample distribution is highly skewed.

1863

1706

1663

1628

1621

1775

1585

1658

1578

1651

1889

1799

1709

1675

1722

1781

1788

1767

1797

1877

1838

1710

1786

1708

1827

1799

1692

1836

1665

1714

Answer #1

A manufacturing company produces electric insulators. You define
the variable of interest as the strength of the insulators. If the
insulators break when in use, a short circuit is likely. To test
the strength of the insulators, you carry out destructive testing
to determine how much force is required to break the insulators.
You measure force by observing how many pounds are applied to the
insulator before it breaks. You collect the force data for 20
insulators selected for the...

A manufacturing company produces electric insulators. You define
the variable of interest as the strength of the insulators. If the
insulators break when in use, a short circuit is likely. To test
the strength of the insulators, you carry out destructive testing
to determine how much force is required to break the insulators.
You measure force by observing how many pounds are applied to the
insulator before it breaks. The accompanying data represent the
amount of force required to break...

#1. You are to construct a
99% confidence interval of a normally distributed population; the
population standard deviation is known to be 25. A random sample of
size 28 is taken; (i) the sample mean is found to 76 and (ii) the
sample standard deviation was found to be 30. Construct the
Confidence interval. Clearly name the standard distribution you
used (z, or t or F etc.) and show work. (10 points)

We use the t distribution to construct a confidence
interval for the population mean when the underlying population
standard deviation is not known. Under the assumption that the
population is normally distributed, find
tα/2,df for the following
scenarios. (You may find it useful to
reference the t table. Round your
answers to 3 decimal places.)
tα/2,df
a.
A 90% confidence level and a sample of 11 observations.
b.
A 95% confidence level and a sample of 11 observations.
c.
A...

We use the t distribution to construct a confidence
interval for the population mean when the underlying population
standard deviation is not known. Under the assumption that the
population is normally distributed, find
tα/2,df for the following
scenarios. (You may find it useful to
reference the t table. Round your
answers to 3 decimal places.)
tα/2,df
a.
A 95% confidence level and a sample of 10 observations.
b.
A 99% confidence level and a sample of 10 observations.
c.
A...

We use the t distribution to construct a confidence interval for
the population mean when the underlying population standard
deviation is not known. Under the assumption that the population is
normally distributed, find tα/2,df for the following scenarios.
(You may find it useful to reference the t table. Round your
answers to 3 decimal places.) tα/2,df
a.A 95% confidence level and a sample of 22 observations.
b.A 99% confidence level and a sample of 22 observations.
c.A 95% confidence level...

A sample of 18 small bags of the same brand of candies was
selected. Assume that the population distribution of bag weights is
normal. The weight of each bag was then recorded. The mean weight
was 3 ounces with a standard deviation of 0.12 ounces. The
population standard deviation is known to be 0.1 ounce.
NOTE: If you are using a Student's t-distribution, you may
assume that the underlying population is normally distributed. (In
general, you must first prove that...

1. You own a bond that will pay 10% per year for the next 10
years, on a principal of $1000. The prevailing discount rate is 10%
throughout. What is the bond value?
A. $2000. B. $500 C. $1100 D. $ 1000
2. A bond with a coupon rate of 6% and pays interest
semi-annually. The face value of the bond is $1000. It has six
years to mature. What is the bond prices when the discount rate is
5%?...

The owner of Britten's Egg Farm wants to estimate the mean
number of eggs laid per chicken. A sample of 36 chickens shows they
laid an average of 28 eggs per month with a standard deviation of
15 eggs per month.
a-1. What is the value of the population
mean?
(Click to select) It is
unknown. 28.00 15
a-2. What is the best estimate of this
value?
b-1. Explain why we need to use the t
distribution.
(Click to select) Use the t distribution...

You are conducting research on the prevalence of severe binge
drinking among college students. You define severe binge drinking
as consuming 5 or more alcoholic beverages at a single sitting. You
ask the question: “On how many days in the past two weeks have you
consumed 5 or more drinks at one time? The answers can range from 0
to 14. You collect data on a random sample of 400 students.
The average for this sample in 1.42
with a...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 34 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago