Question

Why i cannot construct a 100% interval confidence in statistics and instead of this we construct 90%,95% or 99% in most cases?

Answer #1

We can never construct a 100% confidence interval because we can never be 100% confident or sure about anything. There is always some error due to which we cant be 100% certain about the result.

We also know that the margin of error increases with increase in confidence level, so margin of error will be maximum when using 100% confidence interval. Therefore, it is not good to use 100% confidence interval because it will give us maximum amount of margin of error

If you construct a 90% confidence interval for the population
mean instead of a 95% confidence interval and the sample size is
smaller for the 90%, but with everything else being the same, the
confidence interval would: a. remain the same b. become narrower c.
become wider d. cannot tell without further information.

We would like to construct a confidence interval for the mean μ
of some population. Which of the following combinations of
confidence level and sample size will produce the narrowest
interval?
A)
99% confidence, n = 35
B)
95% confidence, n = 30
C)
95% confidence, n = 35
D)
90% confidence, n = 30
E)
90% confidence, n = 35

Out of 100 people sampled, 78 had kids. Based on this, construct
a 90% confidence interval for the true population proportion of
people with kids. As in the reading, in your calculations: --Use z
= 1.645 for a 90% confidence interval --Use z = 2 for a 95%
confidence interval --Use z = 2.576 for a 99% confidence interval.
Give your answers to three decimals Give your answers as decimals,
to three decimal places. [,]

My 95% confidence interval of the proportion of times someone
goes "Awww" when they see Artemis is (.67, .89). I calculated this
using 1,000 bootstrap samples, where my original sample was 100
showings. For the following scenarios, please pick which of the
following confidence intervals would be most appropriate. Explain
Why.
a. (.72, .83)
b. (.67, .89)
c. (.52, .99)
1. Instead finding a 90% confidence interval.

If a confidence interval is constructed at a confidence level of 99% instead of 95%:
a)Estimation precision decreases
b)The precision of the estimate is not altered
c)We can accurately calculate the value of the parameter of interest
d)Estimation accuracy improves significantly

Construct a 95% confidence interval for the population
mean,Assume the population has a normal distribution, A random
sample of 16 fluorescent light bulbs has a mean life of 645 hours
with a standard devastion of 31 hours.
From the above question calculate the 99% confidence interval
for n = 16.
then, Letting n= 100, calculate the 95% and 99% confidence
intervals
(a) What happend to the interval width from 95% to 99%
(b) what happend to the interval width from...

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...

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...

Construct the indicated confidence interval for the population
mean of each data set. If it is possible to construct a confidence
interval, justify the distribution you used. If it is not possible,
explain why.
(a) In a random sample of 40 patients, the mean waiting time at
a dentist’s office was 20 minutes and the standard deviation was
7.5 minutes. Construct a 95% confidence interval for the population
mean.
(b) In a random sample of 20 people, the mean tip...

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
t??2,df for the following scenarios. Use Table
2. (Round your answers to 3 decimal places.)
t?/2,df
a. A 95% confidence
level and a sample of 8 observations.
b. A 90% confidence
level and a sample of 8 observations.
c. A 95% confidence
level and a...

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