Question

A random sample of 40 adults with no children under the age of 18 years results in a mean daily leisure time of 5.04 hours, with a standard deviation of 2.26 hours. A random sample of 40 adults with children under the age of 18 results in a mean daily leisure time of 4.28 hours, with a standard deviation of 1.73 hours. Construct and interpret a 90% confidence interval for the mean difference in leisure time between adults with no children and adults with children (μ1−μ2).

Let μ1 represent the mean leisure hours of adults with no children under the age of 18 and μ2 represent the mean leisure hours of adults with children under the age of 18.

The 90% confidence interval for (μ1−μ2) is the range from ____ hours to ____ hours.

(Round to two decimal places as needed.)

What is the interpretation of this confidence interval?

A. There is 90% confidence that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours.

B.There is 90% confidence that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours.

C.There is a 90% probability that the difference of the means is in the interval. Conclude that there is insufficient evidence of a significant difference in the number of leisure hours.

D.There is a 90% probability that the difference of the means is in the interval. Conclude that there is a significant difference in the number of leisure hours.

Answer #1

A random sample of 4040 adults with no children under the age
of 18 years results in a mean daily leisure time of 5.345.34
hours, with a standard deviation of 2.372.37 hours. A random
sample of 4040 adults with children under the age of 18 results in
a mean daily leisure time of 4.124.12 hours, with a standard
deviation of 1.641.64 hours. Construct and interpret a 9090%
confidence interval for the mean difference in leisure time between
adults with no...

A random sample of 40 adults with no children under the age of
18 years results in a mean daily leisure time of 5.96 hours, with
a standard deviation of 2.35 hours. A random sample of 40 adults
with children under the age of 18 results in a mean daily leisure
time of 4.32 hours, with a standard deviation of 1.52 hours.
Construct and interpret a 95% confidence interval for the mean
difference in leisure time between adults with no...

In December 2001, 38% of adults with children under the age of
18 reported that their family at dinner together seven nights a
week. In recent poll, 403 of 1122 adults with children under the
age of 18 reported that their family at dinner together seven
nights a week. the researcher wishes to estimate the current
proportion of families with children under the age of 18 who eat
dinner together seven nights a week with 95% confidence.
a. what type...

In a previous poll, 44% of adults with children under the age of
18 reported that their family ate dinner together seven nights a
week. Suppose that, in a more recent poll, 478 of 1141 adults with
children under the age of 18 reported that their family ate dinner
together seven nights a week. Is there sufficient evidence that the
proportion of families with children under the age of 18 who eat
dinner together seven nights a week has decreased?...

REM (rapid eye movement) sleep is sleep during which most dreams
occur. Each night a person has both REM and non-REM sleep. However,
it is thought that children have more REM sleep than adults†.
Assume that REM sleep time is normally distributed for both
children and adults. A random sample of n1 = 9 children (9 years
old) showed that they had an average REM sleep time of x1 = 2.9
hours per night. From previous studies, it is known...

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 5
had a sample mean of
x1 = 8.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 6
had a sample mean of
x2 = 11.
Test the claim that the population means are different. Use
level of significance 0.01.(a) Check Requirements: What
distribution does the sample test statistic follow? Explain.
The...

A random sample of
n1 = 49
measurements from a population with population standard
deviation
σ1 = 3
had a sample mean of
x1 = 13.
An independent random sample of
n2 = 64
measurements from a second population with population standard
deviation
σ2 = 4
had a sample mean of
x2 = 15.
Test the claim that the population means are different. Use
level of significance 0.01.
(a) Check Requirements: What distribution does the sample test
statistic follow? Explain....

In the journal Mental Retardation, an article reported the
results of a peer tutoring program to help mildly mentally retarded
children learn to read. In the experiment, the mildly retarded
children were randomly divided into two groups: the experimental
group received peer tutoring along with regular instruction, and
the control group received regular instruction with no peer
tutoring. There were n1 = n2 = 36 children in each group. The
Gates-MacGintie Reading Test was given to both groups before
instruction...

A nutritionist claims that children under the age of 10 years
are consuming more than the U.S. Food and Drug Administration’s
recommended daily allowance of sodium, which is 2400mg. To test the
claim, she obtained a random sample of 75 children under the age of
10 and measured their daily consumption of sodium. The sample mean
amount of sodium consumed was 2993 mg and the sample standard
deviation was 1889 mg. Is there significant evidence to support the
nutritionist’s claim...

Question 1
In December 2001, 38% of adults with children under the age of
18 reported that their family ate dinner together seven nights a
week. A sociologist wishes to estimate the percentage of families
that eat dinner together seven nights a week. She wants to her
estimate to be within 3% at the 95% confidence level. (Show your
work for the following questions.)
a. What size of sample should she take if she uses the 2001
percentage as a...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 1 minute ago

asked 3 minutes ago

asked 4 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 8 minutes ago

asked 10 minutes ago

asked 10 minutes ago

asked 11 minutes ago

asked 12 minutes ago