Question

In a random sample of 81 audited estate tax returns, it was determined that the mean amount of additional tax owed was $3477 with a standard deviation of $2512. Construct and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns.

Click here to view the standard normal distribution table (page 1)

Click here to view the standard normal distribution table (page 2)

Click here to view the table of critical t-values.

Find and interpret a 90% confidence interval for the mean additional amount of tax owed for estate tax returns. Select the correct choice below and fill in the answer boxes to complete your choice. (Use ascending order. Round to the nearest dollar as needed.)

A. One can be 90% confident that the mean additional tax owed is between $__ and $__.

B. 90% of taxes owed for estate tax returns are between $__and $__.

C. There is a 90% probability that the mean additional tax owed is between $__ and $__.

Answer #1

Solution:

Given that, n=81 ,x̄=$3477,S= $2512.

(1–α)%=90%

α=0.10

α/2=0.05

t(α/2),(n-1)=t(0.05),(,80)

= 1.664 ....from student t table.

Margin of error=E=t(α/2),(n-1)×(S/✓n)

=1.664 ×(2512/✓81)

= 464.4409

Margin of error=E=464.4409

90% confidence interval for true population mean μ given as,

x̄± Margin of error=( 3477̄± 464.4409)

=(3012.5591,3941.4409)

=($3013,$3941) ... Nearest dollar

A)

One can be 90% confident that the mean additional tax owed is
between $3013 and $3941

In a random sample of
100100
audited estate tax returns, it was determined that the mean
amount of additional tax owed was
$34663466
with a standard deviation of
$25272527.
Construct and interpret a 90% confidence interval for the mean
additional amount of tax owed for estate tax returns.
LOADING...
Click the icon to view the t-distribution table.
The lower bound is ______
The upper bound is ______

In a random sample of 64 audited estate tax returns, it was
determined that the mean amount of additional tax owed was $3445
with a standard deviation of $2593. Construct and interpret a 90%
confidence interval for the mean additional amount of tax owed for
estate tax returns. LOADING... Click the icon to view the
t-distribution table. The lower bound is $ nothing. (Round to the
nearest dollar as needed.) The upper bound is $ nothing. (Round
to the nearest...

In a random sample of
81
audited estate tax returns, it was determined that the mean
amount of additional tax owed was
$3418
with a standard deviation of
$2516
Construct and interpret a 90% confidence interval for the mean
additional amount of tax owed for estate tax returns.

In a random sample of 64 audited estate tax returns, it was
determined that the mean amount of additional tax owed was $3479
with a standard deviation of $2526. Construct and interpret a 90%
confidence interval for the mean additional amount of tax owed for
estate tax returns. Find and interpret a 90% confidence interval
for the mean additional amount of tax owed for estate tax returns.
Select the correct choice below and fill in the answer boxes to
complete...

#12 In a random sample of 100 audited estate tax returns, it
was determined that the mean amount of additional tax owed was
$3416 with a standard deviation of $2547. Construct and interpret
a 90% confidence interval for the mean additional amount of tax
owed for estate tax returns. LOADING... Click the icon to view the
t-distribution table. The lower bound is $ nothing. (Round to the
nearest dollar as needed.) The upper bound is $ nothing. (Round
to the...

In a random sample of 49 audited estate tax returns, it was
determined that the mean amount of additional tax owed was $3412
with a standard deviation of 2564.
Construct and interpret a 90% confidence interval for the mean
additional amount of tax owed for estate tax returns.

In a random sample of 64 audited income tax returns, it was
determined that the mean amount of additional tax owed was $3448
with a standard deviation of $2580. Construct and interpret a 90%
confidence interval for the mean additional amount of tax owed for
income tax-returns.
Lower bound: ___
Upper bound: ___
Interpret and choose correct answer:
A) One can be 90% confident that the mean additional tax owed is
between the lower and upper bounds
B) One can...

In a random sample of
38
criminals convicted of a certain crime, it was determined that
the mean length of sentencing was
55
months, with a standard deviation of
8
months. Construct and interpret a
95%
confidence interval for the mean length of sentencing for this
crime.Click here to view the standard normal distribution table
(page 1).
LOADING...
Click here to view the standard normal distribution table (page
2).
LOADING...
Click here to view the table of critical t-values.
LOADING......

Using the simple random sample of weights of women from a data
set, we obtain these sample statistics: nequals40 and x
overbarequals153.03 lb. Research from other sources suggests that
the population of weights of women has a standard deviation given
by sigmaequals30.91 lb. a. Find the best point estimate of the mean
weight of all women. b. Find a 90% confidence interval estimate of
the mean weight of all women. Click here to view a t distribution
table. LOADING... Click...

Salaries of 48 college graduates who took a statistics course in
college have a mean, x of $ 60,700. Assuming a standard
deviation, sigma, of $10,499, construct a 90% confidence
interval for estimating the population mean mu. Click here to view
a t distribution table. LOADING... Click here to view page 1 of the
standard normal distribution table. LOADING... Click here to view
page 2 of the standard normal distribution table. LOADING... $
nothingless thanmuless than$ nothing (Round to the...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 16 minutes ago

asked 18 minutes ago

asked 22 minutes ago

asked 29 minutes ago

asked 34 minutes ago

asked 35 minutes ago

asked 51 minutes ago

asked 51 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago