Question

The belief is that the mean number of hours per week of
part-time work of high school seniors in a city is 10.8 hours. Data
from a simple random sample of 28 seniors indicated that their mean
number of part-time work was 13.1 with a standard deviation of 1.4.
Test whether these data cast doubt on the current belief. (use α =
0.05)

Part a: State your null and alternative hypotheses.

Part b: Sketch the rejection region.

Part c: Calculate the test statistic. Plot this value in your
sketch in part b.

Part d: Determine the P-value for your test.

Part e: State your conclusions clearly in complete
sentences.

Explain and USE R CODE for rating (especially for part
d)

Answer #1

￼￼The R command is,

1. The belief is that the mean number of hours per week of
part-time work of high school seniors in a city is 10.7 hours. Data
from a simple random sample of 28 seniors indicated that their mean
number of parttime work was 12.5 with a standard deviation of 1.3.
Test whether these data cast doubt on the current belief. (use α =
0.05)
a.)State your null and alternative hypotheses.
b.)Sketch the rejection region.
c.) Calculate the test statistic. Plot...

The belief is that the mean number of hours per week of
part-time work of high school seniors in a city is 10.6 hours. Data
from a simple random sample of 25 high school seniors indicated
that their mean number of part-time work was 11.4 with a standard
deviation of 1.3. Test whether these data cast doubt on the current
belief. (use α = 0.05)
a. State your null and alternative hypotheses.
b.State the rejection region.
c.Calculate the test statistic...

1. The belief is that the mean number of hours per week of
part-time work of high school seniors in a city is 10.7 hours. Data
from a simple random sample of 28 seniors indicated that their mean
number of parttime work was 12.5 with a standard deviation of 1.3.
Test whether these data cast doubt on the current belief. (use α =
0.05)
a.)State your null and alternative hypotheses.
b.)Sketch the rejection region.
c.) Calculate the test statistic. Plot...

Use the following information to answer questions 13-17: The
belief is that the mean number of hours per week of part-time work
of high school seniors in a city is 10.7 hours. Data from a simple
random sample of 24 high school seniors indicated that their mean
number of part-time work was 11.6 with a standard deviation of 1.4.
Test whether these data cast doubt on the current belief. (use α =
0.05) Part a: State your null and alternative...

The mean number of hours of part-time work per week for a sample
of 278 Metro State students is 20. If the margin of error for the
population mean with a 95% confidence interval is 1.5, construct a
95% confidence interval for the mean number of hours of part-time
work per week for Metro State University students. (4 points)
Lower Limit: ____________
Upper Limit: ____________

The mean number of hours of part-time work per week for a sample
of 317 teenagers is 29. If the margin of error for the population
mean with a 95% confidence interval is 2.1, construct a 95%
confidence interval for the mean number of hours of part-time work
per week for all teenagers.

The mean number of hours of study time per week for a sample of
524 high-school students is 27. If the margin of error for the
population mean with a 98% confidence interval is 1.7, construct a
98% confidence interval for the mean number of hours of study time
per week for all high-school students.
Lower endpoint?
upper endpoint?

A researcher wants to estimate the mean number of novels that
seniors read during their time at her university. An exit survey
was conducted with a random sample of 11 seniors. The results are
shown below. The sample mean was 9 novels with a standard deviation
of 2.366 novels.
Number of Novels 5 6 7 9 9 9 9 10 10 12 13
(a) Sketch a dot plot of the sample data. Describe the
distribution of sample data.
(b) Construct...

The mean number of hours of study time per week for a sample of
554 students is 22. If the margin of error for the population mean
with a 95% confidence interval is 2.1, construct a 95% confidence
interval for the mean number of hours of study time per week for
all students.

4. Study Time. A university states the mean
number of study hours per week for full-time student (12 units +)
should be at least 20 hours. Based on the random sample of weekly
study hours for the 8 full-time students listed below, is the mean
study time for all full-time students less than the recommended
amount? ( use a=.10, assume sample comes from a population that is
normal)
21.8 17.6 21.6
16.9 15.4 19.4 22.6
18.1
Check Assumptions:
Ho:
Diagram:...

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