Question
In: Statistics and Probability
Data was collected on annual personal time (in hours) taken by a random selection of 50...
Data was collected on annual personal time (in hours) taken by a random selection of 50 women and 55 men employed by a medium-sized company. We know that the data for women and men is normally distributed. The Human Resources Department believes that the amount of personal time used by women is less than the amount of personal time used by men.
The sample of women took an average of 25 hours of personal time with a standard deviation of 4.9 hours. The men took an average of 27.6 hours of personal time with a standard deviation of 4.8 hours. Assuming the population standard deviations are equal, test the Human Resources Departments claim at α = 0.05.
- State the null (H0) and alternate (HA) hypotheses.
- Check the assumptions
- Give the test statistic.
- Give the P-value and the conclusion reached about the null hypothesis based on the P-value.
- Summarize the final conclusion in the context of the claim.
- Also construct a 95% confidence interval for the mean difference. Does this confidence interval include the value of 0? Should it? Explain
Solutions
orchestra answered 2 years agoRelated Solutions
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The data presented below were collected on the amount of time, in hours; it takes an...
The data presented below were collected on the amount of time,
in hours; it takes an employee, to process an order at a local
plumbing wholesaler.
2.8
4.9
0.5
13.2
14.2
8.9
3.7
15.2
11.2
13.4
5.5
10.2
1.1
14.2
7.8
4.5
10.9
8.8
18.2
17.1
Construct a stem-and-leaf display of the data.
Construct a frequency distribution of the data
Construct cumulative frequency and cumulative percent
distributions of the data
Construct a frequency histogram of the data.
Determine the percentage...
Researchers have collected data from a random sample of six students on the number of hours...
Researchers have collected data from a random sample of six
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Table 6.5
Observation
Grade
Number of Hours Studying
1
85
8
2
73
10
3
95
13
4
77
5
5
68
2
6
95
12
d) Find and interpret a 90% confidence interval for the true
population slope parameter.
Data were collected on number of credit hours earned from a random sample of 40 JMU...
Data were collected on number of credit hours earned from a
random sample of 40 JMU students. The mean was 57.2 and the
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true mean number of credit hours earned differs from 55.0, allowing
a Type I error rate of 0.05. Assume that the distribution of the
number of credit hours earned is normal. Show your full work. You
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Identify a random variable for which data most be collected over time and you think the...
Identify a random variable for which data most be collected over
time and you think the passage of time may influence the behavior
tor of the random variable. Collect at least 30 observations on
this random variable. Construct a time-series plot (or paste the
plot created from Minicab). This section should include the
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the data. how where you collected the data. the time-series plot.
and meaningful commentary on the...
Two polls were taken for the approval of Donald Trump. The first was a random selection...
Two polls were taken for the approval of Donald Trump.
The first was a random selection taken before the events at
Charlottesville of 1000 people and 440 indicated support for Trump.
The second was taken immediately after Charlottesville where 1000
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Test against a 95% probability Zα/2 = 1.96 that the difference was
due to random variation.
A sample of n = 64 adults was taken, and researchers collected data on their salary...
A sample of n = 64 adults was taken, and researchers collected
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A 95% confidence interval for µ is (140.7, 159.3). Interpret
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There is a 95% chance that µ is in (140.7, 159.3).
There is a 95% probability that µ is in (140.7, 159.3).
I am 95% confident that µ is captured in the interval (140.7,
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All of the above.
Given the sample data and confidence interval in...
Researchers have collected data on the hours of television watched in a day and the age...
Researchers have collected data on the hours of television
watched in a day and the age of a person. You are given the data
below.
Hours of Television
Age (in years)
1
45
3
30
4
22
3
25
6
5
a.
Determine the dependent variable.
b.
Compute the least squares estimated regression equation.
c.
Is there a significant relationship between the two variables?
Use a t test and a .05 level of significance. Be sure to
state the...
Researchers have collected data on the hours of television watched in a day and the age...
Researchers have collected data on the hours of television
watched in a day and the age of a person. They have taken 6
samples. A linear regression analysis has already been run on this
data. Here are the partial results:
Analysis of variance (Hours of Television):
Source
DF
Sum of squares
Mean squares
F
Pr > F
Model
10.939
Error
Total
13.333
Model parameters (Hours of Television):
Source
Value
Standard error
t
Pr > |t|
Lower...
A statistics teacher collected the following data to determine if the number of hours a student...
A statistics teacher collected the following data to determine
if the number of hours a student studied during the semester could
be used to predict the final grade for the course. The default
level of significance is .05 in excel. Use the default level of
significance.
Student
Hours Studying
Final Grade
1
42
92
2
58
95
3
32
81
4
39
78
5
37
75
6
51
88
7
49
85
8
45
85
1. Is β1 statistically significant? State...
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