Question

A random sample of 19 registered nurses in a large hospital showed that they worked on average 44.6 hours per week. The standard deviation of the sample was 2.1. Estimate the mean of the population with 90%confidence. Assume the variable is normally distributed. Round intermediate answers to at least three decimal places. Round your final answers to one decimal place.

Answer #1

A random sample of 18 registered nurses in a large hospital
showed that they worked on average 44.8 hours per week. The
standard deviation of the sample was 2.4. Estimate the mean of the
population with 95% confidence. Assume the variable is normally
distributed. Round intermediate answers to at least three decimal
places. Round your final answers to one decimal place.

A random sample of 16 registered nurses in a large hospital
showed that they worked on average 44.3 hours per week. The
standard deviation of the sample was 2.3. Estimate the mean of the
population with 99% confidence. Assume the variable is normally
distributed. Round intermediate answers to at least three decimal
places. Round your final answers to one decimal place.

In a large hospital, a nursing director selected a random sample
of 30 registered nurses and found that the mean of their ages was
30.2. The population standard deviation for the registered nurse
ages is 5.6. She selected a random sample of 40 nursing assistants
and found the mean of their ages was 31.7. The population standard
deviation of the ages for the assistants is 4.3. At the 1% level of
significance, test the claim that the mean age of...

According to the Bureau of Labor Statistics, the mean salary for
registered nurses in Kentucky was $55,599. The distribution of
salaries is assumed to be normally distributed with a standard
deviation of $5,987. Someone would like to determine if registered
nurses in Ohio have a greater average pay. To investigate this
claim, a sample of 269 registered nurses is selected from the Ohio
Board of Nursing, and each is asked their annual salary. The mean
salary for this sample of...

At a large company, the Director of Research found that the
average work time lost by employees due to accidents was 94 hours
per year. She used a random sample of 20 employees. The standard
deviation of the sample was 5.9 hours. Estimate the population mean
for the number of hours lost due to accidents for the company,
using a 95% confidence interval. Assume the variable is normally
distributed. Round intermediate answers to at least three decimal
places. Round your...

According to the Bureau of Labor Statistics, the mean salary for
registered nurses in Kentucky was $58,605. The distribution of
salaries is assumed to be normally distributed with a standard
deviation of $5,688. Someone would like to determine if registered
nurses in Ohio have a greater average pay. To investigate this
claim, a sample of 297 registered nurses is selected from the Ohio
Board of Nursing, and each is asked their annual salary. The mean
salary for this sample of...

A random sample of 14 observations is used to estimate the
population mean. The sample mean and the sample standard deviation
are calculated as 158.4 and 30.10, respectively. Assume that the
population is normally distributed. [You may find it useful
to reference the t table.]
a. Construct the 90% confidence interval for the
population mean. (Round intermediate calculations to at
least 4 decimal places. Round "t" value to 3 decimal
places and final answers to 2 decimal places.)
b. Construct...

11. A random sample of 22 observations is used to estimate the
population mean. The sample mean and the sample standard deviation
are calculated as 135.5 and 30.50, respectively. Assume that the
population is normally distributed. [You may find it useful
to reference the t table.]
a. Construct the 90% confidence interval for the
population mean.
(Round intermediate calculations to at least 4 decimal
places. Round "t" value to 3 decimal places and final
answers to 2 decimal places.)
Confidence...

A random sample of 36 staff members at a local hospital showed
an average age of 25 years. Ages of the staff at the hospital are
normally distributed with a population standard deviation of 1.8
years. The 98% confidence interval for the average age of all
hospital staff is
a)
24.385 to 25.615
b)
23.200 to 26.800
c)
24.301 to 25.699
d)
23.236 to 26.764

A simple random sample of 10 observations is derived from a
normally distributed population with a known standard deviation of
2.1. [Use Excel instead of the z
table.]
a. Is the condition that X−X− is normally distributed
satisfied?
_Yes
_No
b. Compute the margin of error with 99%
confidence. (Round intermediate calculations to at least 4
decimal places. Round "z" value to 3 decimal places and
final answer to 2 decimal places.)
c. Compute the margin of error with 95%...

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