Question

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 |

Answer #1

1,) Construct a 90% confidence interval for the population
proportion if an obtained sample of size n = 150 has x = 30
2.) Construct a 95% confidence interval for the population mean
if an obtained sample of size n = 35 has a sample mean of 18.4 with
a sample standard deviation of 4.5.

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
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...

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...

Construct a 90% confidence interval for the population mean
μ.
n=12
mean = 4263.1
s/d = 260

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 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...

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...

(a)
Construct a 95% confidence interval about
Mu μ if the sample size, n, is 34
Lower bound:
___________
; Upper bound:
______________
(Use ascending order. Round to two decimal places as
needed.)
(b) Construct a 95% confidence interval about mu μ if
the sample size, n, is 51.
Lower bound:
____________
; Upper bound:
____________
(Use ascending order. Round to two decimal places as
needed.)
How does increasing the sample size affect the margin
of error, E?
A.
The...

please answer all the questions
1. A Confidence Interval (CI) for a population characteristic
is:
An alternative to a Point Estimate
An interval of plausible values for a population
characteristic
An interval of ranges for a large sample that is unbiased
A population of critical values
Directions: Find each specified point estimate or confidence
interval.
2. A survey of teachers reports that a point estimate for the
mean amount of money spent each week on lunch is $18.00. If the...

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