Question

Given a normally distributed population.

(a) Compute a 99% CI for μ when n = 100 and x = 55.7, σ = 2.1. (_, _) (Round your answers to two decimal places.)

(b) How large must n be if the width of the 99% interval for μ is to be 1.0? (Round your answer up to the nearest whole number.) n =__

Answer #1

A CI is desired for the true average stray-load loss μ (watts)
for a certain type of induction motor when the line current is held
at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is
normally distributed with σ = 3.3. (Round your answers to two
decimal places.)
(a) Compute a 95% CI for μ when n = 25 and x = 56.0. . watts
(b) Compute a 95% CI for μ when n = 100...

A CI is desired for the true average stray-load loss ? (watts)
for a certain type of induction motor when the line current is held
at 10 amps for a speed of 1500 rpm. Assume that stray-load loss is
normally distributed with ? = 2.9. (Round your answers to two
decimal places.) (a) Compute a 95% CI for ? when n = 25 and x =
57.2. , watts (b) Compute a 95% CI for ? when n = 100...

Assuming that the population is normally distributed, construct
a
99 %99%
confidence interval for the population mean, based on the
following sample size of n equals 5.n=5.1, 2, 3,
44,
and
2020
In the given data, replace the value
2020
with
55
and recalculate the confidence interval. Using these results,
describe the effect of an outlier (that is, an extreme value) on
the confidence interval, in general.
Find a
99 %99%
confidence interval for the population mean, using the formula...

Assuming that the population is normally distributed, construct
a 99 % confidence interval for the population mean, based on the
following sample size of n equals 5. 1, 2, 3, 4, and 26 In the
given data, replace the value 26 with 5 and recalculate the
confidence interval. Using these results, describe the effect of
an outlier (that is, an extreme value) on the confidence
interval, in general. Find a 99 % confidence interval for the
population mean, using the...

Let a random sample be taken of size n = 100 from a population
with a known standard deviation of \sigma σ = 20. Suppose that the
mean of the sample is X-Bar.png= 37. Find the 95% confidence
interval for the mean, \mu μ , of the population from which the
sample was drawn. (Answer in CI format and round the values
to whole numbers.)

Let Y = ex where X is
normally distributed with μ = 1.9 and σ = 0.9.
Compute the following values. [You may find it useful to
reference the z table.]
c. Compute the 90th percentile of Y.
(Round your intermediate calculations to at least 4 decimal
places, “z” value to 3 decimal places, and final answer to
the nearest whole number.)
The 90th percentile of Y ?

A population is normally distributed with mean μ = 100 and
standard deviation σ = 20. Find the probability that a value
randomly selected from this population will have a value between 90
and 130. (i.e., calculate P(90<X<130))

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, overbar x, is found to
be 115, and the sample standard deviation, s, is found to be 10.
(a) Construct a 98% confidence interval about μ if the sample
size, n, is 20. (b) Construct a 98% confidence interval about μ
if the sample size, n, is 25. (c) Construct a 99% confidence
interval about μ if the sample size, n,...

A simple random sample of size n is drawn from a population that
is normally distributed. The sample mean, is found to be 109, and
the sample standard deviation, s, is found to be
10.
(a) Construct a 98% confidence interval about m μ if the
sample size, n, is 21.
(b) Construct a 98% confidence interval about mu μ if the
sample size, n, is 26.
(c) Construct a 99% confidence interval about mu μ if the
sample size,...

Use the t-distribution to find a confidence interval
for a mean μ given the relevant sample results. Give the best point
estimate for μ, the margin of error, and the confidence interval.
Assume the results come from a random sample from a population that
is approximately normally distributed.
A 90% confidence interval for μ using the sample results x¯=144.2,
s=55.7, and n=50
Round your answer for the point estimate to one decimal place, and
your answers for the margin of...

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