Question

Find a 90% confidence interval for a population mean *?*
for these values. (Round your answers to three decimal places.)

(a)

*n* = 130, *x* = 0.85, *s*^{2} =
0.084

to

(b)

*n* = 40, *x* = 20.1, *s*^{2} =
3.86

to

(c)

Interpret the intervals found in part (a) and part (b).

There is a 10% chance that an individual sample proportion will fall within the interval.In repeated sampling, 10% of all intervals constructed in this manner will enclose the population proportion. In repeated sampling, 90% of all intervals constructed in this manner will enclose the population mean.90% of all values will fall within the interval.There is a 90% chance that an individual sample proportion will fall within the interval.

Answer #1

a) At 90% confidence interval the critical value is
t^{*} = 1.657

The 90% confidence interval for population mean is

+/- t^{*} * sqrt(s^{2}/n)

= 0.85 +/- 1.657 * sqrt(0.084/130)

= 0.85 +/- 0.042

= 0.808, 0.892

b) At 90% confidence interval the critical value is
t^{*} = 1.685

The 90% confidence interval for population mean is

+/- t^{*} * sqrt(s^{2}/n)

= 20.1 +/- 1.685 * sqrt(3.86/40)

= 20.1 +/- 0.523

= 19.577, 20.623

c) In repeated sampling, 90% of all intervals constructed in this manner will enclose the population mean.

Find a 90% confidence interval for a population mean ?
for these values. (Round your answers to three decimal places.)
(a)
n = 145, x = 0.88, s2 =
0.084
to
(b)
n = 70, x = 25.6, s2 =
3.49
to
(c)
Interpret the intervals found in part (a) and part (b).
There is a 10% chance that an individual sample proportion will
fall within the interval.There is a 90% chance that an individual
sample proportion will fall within...

A random sample of n = 300 observations from a binomial
population produced x = 223 successes. Find a 90%
confidence interval for p. (Round your answers to three
decimal places.)
to
Interpret the interval.
In repeated sampling, 10% of all intervals constructed in this
manner will enclose the population proportion.There is a 90% chance
that an individual sample proportion will fall within the
interval. In repeated sampling, 90% of all
intervals constructed in this manner will enclose the population
proportion.There...

Acid rain, caused by the reaction of certain air pollutants with
rainwater, is a growing problem in the United States. Pure rain
falling through clean air registers a pH value of 5.7 (pH is a
measure of acidity: 0 is acid; 14 is alkaline). Suppose water
samples from 90 rainfalls are analyzed for pH, and x and s are
equal to 3.9 and 0.8, respectively. Find a 99% confidence interval
for the mean pH in rainfall. (Round your answers to...

Acid rain, caused by the reaction of certain air pollutants with
rainwater, is a growing problem in the United States. Pure rain
falling through clean air registers a pH value of 5.7 (pH is a
measure of acidity: 0 is acid; 14 is alkaline). Suppose water
samples from 80 rainfalls are analyzed for pH, and x and
s are equal to 3.1 and 0.4, respectively. Find a 99%
confidence interval for the mean pH in rainfall. (Round your
answers to...

Find a 90% confidence interval for a population mean μ for these
values. (Round your answers to three decimal places.)
(a)n = 130, x = 0.82, s2 = 0.085
______ to _______
(b)n = 40, x = 22.7, s2 = 3.19
_______ to _______

Construct the confidence interval for the population variance
for the given values. Round your answers to one decimal place.
n=12, s2=12.8, and c=0.95

Construct the confidence interval for the population variance
for the given values. Round your answers to one decimal place.
n=5, s2=21.2, and c=0.98

1 - Which of the following statements is true regarding a 95%
confidence interval? Assume numerous large samples are taken from
the population.
a. In 95% of all samples, the sample proportion will fall within 2
standard deviations of the mean, which is the true proportion for
the population.
b. In 95% of all samples, the true proportion will fall within 2
standard deviations of the sample proportion.
c. If we add and subtract 2 standard deviations to/from the sample...

An SRS yields a sample mean, x ̅, of 8.6. A 90% confidence
interval from the same data is 8.6 ± 2.4. Which of the following
statements is true about the situation?
(A) If the population mean were 5.2, the sample mean
of 8.6 would be highly likely.
(B) If the population mean were 5.2, the sample mean
of 8.6 would be highly unlikely.
(C) There is a 90% chance that the population mean
lies between 6.2 and 11.0
(D) ...

A student was asked to find a 90% confidence interval for the
proportion of students who take notes using data from a random
sample of size n = 88. Which of the following is a correct
interpretation of the interval 0.1 < p < 0.3?
Check all that are correct.
The proprtion of all students who take notes is between 0.1 and
0.3, 90% of the time.
There is a 90% chance that the proportion of notetakers in a
sample...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 13 minutes ago

asked 21 minutes ago

asked 44 minutes ago

asked 45 minutes ago

asked 46 minutes ago

asked 55 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago