Question

You may need to use the appropriate appendix table or technology to
answer this question.

Studies show that massage therapy has a variety of health benefits
and it is not too expensive. A sample of 11 typical one-hour massage therapy
sessions showed an average charge of $51. The population standard
deviation for a one-hour session is

σ = $7.5.

(a)

What assumptions about the population should we be willing to make
if a margin of error is desired?

We should be
willing to make the assumption that the population is at least
approximately normal.We should be
willing to make the assumption that the population is at least
approximately
uniform. We should
be willing to make the assumption that the population is at least
approximately skewed right.We should be
willing to make the assumption that the population is at least
approximately bimodal.We should be
willing to make the assumption that the population is at least
approximately skewed left.

(b)

Using 95% confidence, what is the margin of error in dollars?
(Round your answer to the nearest cent.)

$

(c)

Using 99% confidence, what is the margin of error in dollars?
(Round your answer to the nearest cent.)

$

Answer #1

Given,

sample size = n = 11

μ = popualation mean = 51 and

σ = population standard deviation = $7.5

**a)** We should be willing to make the assumption
that the population is at least approximately normal.

Because the sample size is small and thus we cannot use central limit therom to obtain that the sampling distribution approximately normal.

**b) **

ME = margin of error = critical value * σ / SQRT(n)

critical value for α = 95 % = ± 1.96 ( from statistical table for z test )

and σ / SQRT(n) = 2.2613

ME = (1.96 * 2.2613)

**= $4.43**

**c)**

ME = margin of error = critical value * σ / SQRT(n)

critical value for α = 99 % = ± 2.58 ( from statistical table for z test )

and σ / SQRT(n) = 2.2613

ME = (2.58 * 2.2613)

**= $5.83**

Studies show that massage therapy has a variety of health
benefits and it is not too expensive. A sample of
11 typical one-hour massage therapy sessions
showed an average charge of $61. The population
standard deviation for a one-hour session is =
$5.3 .
a. What assumptions about the population should
we be willing to make if a margin of error is desired?
- Select your answer -The population has uniform distribution,
The population is at least approximately normal is...

Studies show that massage therapy has a variety of health
benefits and it is not too expensive. A sample of 11 typical
one-hour massage therapy sessions showed an average charge of $58.
The population standard deviation for a one-hour session is
$4.95.
a. What assumptions about the population should
we be willing to make if a margin of error is desired?
b. Using 90% confidence, what is the margin of
error (to 2 decimals)?
c. Using 95% confidence, what is...

Studies show that massage therapy has a variety of health benefits
and it is not too expensive. A sample of 10 typical one-hour
massage therapy sessions showed an average charge of $61. The
population standard deviation for a one hour session is s= $5.
a. using 90% confidence, what is the margin of error (to 2
decimals?)
b. using 95% confidence, what is the margin of error (to 2
decimals?)

You may need to use the appropriate appendix table or technology
to answer this question.
A newspaper reports that the average expenditure on Valentine's
Day is $100.89. Do male and female consumers differ in the amounts
they spend? The average expenditure in a sample survey of 40 male
consumers was $138.67, and the average expenditure in a sample
survey of 30 female consumers was $61.64. Based on past surveys,
the standard deviation for male consumers is assumed to be $35,...

You may need to use the appropriate appendix table or technology
to answer this question.
A newspaper reports that the average expenditure on Valentine's
Day is $100.89. Do male and female consumers differ in the amounts
they spend? The average expenditure in a sample survey of 40 male
consumers was $137.67, and the average expenditure in a sample
survey of 30 female consumers was $65.64. Based on past surveys,
the standard deviation for male consumers is assumed to be $45,...

You may need to use the appropriate appendix table or technology
to answer this question. Annual starting salaries for college
graduates with degrees in business administration are generally
expected to be between $41,000 and $59,600. Assume that a 95%
confidence interval estimate of the population mean annual starting
salary is desired. (Round your answers up to the nearest whole
number.) What is the planning value for the population standard
deviation? (a) How large a sample should be taken if the...

Studies show that massage therapy has a variety of health
benefits. A sample of 35 typical one-hour massage therapy sessions
showed an average charge of $60. The population standard deviation
for a one-hour session is $5.42. Estimate with 91% confidence the
average charge of all one-hour massage therapy sessions.
We are 91% confident that the (Click to
select)populationsample (Click to select)standard
deviationmeanproportion charge of (Click to
select)all35 one-hour massage therapy sessions is
between and dollars.

Studies show that massage therapy has a variety of health
benefits. A sample of 41 typical one-hour massage therapy sessions
showed an average charge of $65. The population standard deviation
for a one-hour session is $5.54. Estimate with 97% confidence the
average charge of all one-hour massage therapy
sessions. (Round to 2 decimal
places.)
Complete the following sentence to provide an interpretation of
the confidence interval in the context of the problem:
We are 97% confident that the (Click to
select)samplepopulation (Click to...

You may need to use the appropriate appendix table or technology
to answer this question.
A random sample of 49 SAT scores of students applying for merit
scholarships showed an average of 1400 with a standard deviation of
210. There are 48 degrees of freedom. Find the margin of error at
95% confidence.
A. 2.011
B. 8.617
C. 50.317
D. 60.319

You may need to use the appropriate appendix table or technology
to answer this question.
The Economic Policy Institute periodically issues reports on
wages of entry level workers. The institute reported that entry
level wages for male college graduates were $21.68 per hour and for
female college graduates were $18.80 per hour in 2011.† Assume the
standard deviation for male graduates is $2.30, and for female
graduates it is $2.05. (Round your answers to four decimal
places.)
(a)
What is...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 1 minute ago

asked 2 minutes ago

asked 2 minutes ago

asked 14 minutes ago

asked 19 minutes ago

asked 23 minutes ago

asked 26 minutes ago

asked 32 minutes ago

asked 35 minutes ago

asked 36 minutes ago

asked 47 minutes ago