Question
In: Statistics and Probability
the following table shows the distribution of hours worked each week on average for a sample...
the following table shows the distribution of hours worked
each week on average for a sample of 100 community college
students.
hours per week
number of
students
0-9 24
10-19. 14
20-29. 39
30-39. 18
40-49. 5
1) what is mean? round 3 decimals
2) standard deviation of sample? round 3 decimals
3) what is the mid point of the class 20-29?
4) do a histograms of the data ; shape of distribution?
5) what is quartile 75 of distribution?
Solutions
Expert Solution
| Class interval | Midpoint, x | Frequency, f | fx | fx² | cf |
| 0 - 9 | 4.5 | 24 | 108 | 486 | 24 |
| 10 - 19 | 14.5 | 14 | 203 | 2943.5 | 38 |
| 20 - 29 | 24.5 | 39 | 955.5 | 23409.75 | 77 |
| 30 - 39 | 34.5 | 18 | 621 | 21424.5 | 95 |
| 40 - 49 | 44.5 | 5 | 222.5 | 9901.25 | 100 |
| Total | 100 | 2110 | 58165 |
1. Mean, x̅ = ∑fx / n = 2110/100 = 21.1
2. Standard deviation, s = √((∑fx² - (∑fx)²/n)/(n-1)) = √((58165 - 2110²/100)/(100- 1)) = 11.740
3. Mid-point of class 20-29 = 24.5
4. Histogram:
5. Class with 75th value of the observation in cf column lies in
the class 20-29.
Q3 class : 19.5-29.5
The lower boundary point of 19.5-29.5, L = 19.5.
Q3 = L + c*((3n/4 - cf)/f)
=19.5 + 10*((75-38)/39)
= 28.99
orchestra answered 2 years agoRelated Solutions
The table to the right lists the average number of hours worked in a week and...
The table to the right lists the average number of hours worked
in a week and the average weekly earnings for U.S. production
workers from 1967 to 1996. (The World Almanac 1998)
1) Construct a scatter diagram and comment on the relationship,
if any, between the variables Weekly Hours and Weekly Earnings.
2) Determine and interpret the correlation for hours worked and
earnings. Based upon the value of the correlation, is your answer
to the previous question reasonable?
3) Based...
A sample of 45 entrepreneurs worked an average of 52 hours a week. The population is...
A sample of 45 entrepreneurs worked an average of 52 hours a
week. The population is approximately normally distributed with a
standard deviation of 20 hours per week. You want to test whether
there is sufficient evidence at the α = 0.10 significance level
that entrepreneurs work more than 48 hours per week.
(a) Define the parameter to be tested.
(b) What is the null hypothesis (H0)? What is the alternative
hypothesis (H1)?
(c) Specify the test statistic and identify...
Do engineers work more hours per week than the national average hours per week worked? ...
Do engineers work more hours per week than the national
average hours per week worked?
[ Choose ]
Two-sided test
One-sided lower test
One-sided upper test
Is the gas mileage of a smart for two coupe really less
than 40 mpg? (According to the 2013 EPA gas mileage figures, the
answer is yes. Doesn't seem that smart…)
[ Choose ]
Two-sided test ...
The following frequency table summarizes the number of hours worked by a sample of 120 students...
The following frequency table summarizes the number of hours
worked by a sample of 120 students in the same week. Hours worked
by students Class (hours) Frequency (0, 10] 10 (10, 20] 60 (20, 30]
40 30 or more 10 Total 120 Show/hide advanced buttonsParagraph
stylesBoldItalicUnordered listOrdered listLinkUnlinkInsert or edit
imageInsert or edit an audio/video fileRecord audioRecord
videoManage files
A) How many students worked more than 10 hours but less than or
equal to 30 hours?
B) What is the...
The following data shows the hours worked by employees at a McDonalds and the number of...
The following data shows the hours worked by employees at a
McDonalds and the number of dollars that they earned that day.
Hours worked Pay dollars 8 68 7 59.5 8 68 5 42.5 10 85 8.5 72.25
7.5 63.75 9 76.5 Average: 7.875 66.9375 Standard Deviation 1.482035
12.5973 Correlation 1 a)Draw a scatterplot that represents this
data. Draw an estimate for the line of least fit on the scatterplot
as well. b) Use technology to find the least squares...
IV. The following table gives the frequency distribution of the number of hours spent per week...
IV. The following table gives the frequency distribution of
the number of hours spent per week on activities that involve
sports and/or exercise by a sample of 400 Americans. The numbers
are consistent with the summary results from the Bureau of Labor
Statistics' American Time Use Survey (www.bls.gov).
Hours per Week Number of People
0 to less than 3.5 34
3.5 to less than 7.0 92
7.0 to less than 10.5 55
10.5 to less than 14.0 83
14.0 to...
researcher has obtained the number of hours worked per week during the summer for a sample...
researcher has obtained the number of hours worked per week
during the summer for a sample of twenty students.
19
25
35
33
28
44
34
21
40
18
35
30
34
46
23
36
42
17
14
22
Create the Stem and leaf and find the following parts:
\large Q_1 =
\large Q_2 =
\large Q_3 =
\large IQR =
\large LowerFence =
\large UpperFence =
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Blank 5:...
The following table shows the average distance, to the nearest mile, travelled per week to work...
The following table shows the average distance, to the nearest
mile, travelled per week to work by a random sample of 350
commuters.
Miles Travelled Frequency Midpoint Class Boundaries
6 - 11 43
12 - 17 32
18 – 23 80
24 - 29 120
30 - 35 75
(a) Complete the table above.
(b) What is the mean distance travelled per week by these
commuters?
(c) Why is the answer for part (b) an estimate of the mean
distance...
The following table shows age distribution and location of a random sample of 166 buffalo in...
The following table shows age distribution and location of a
random sample of 166 buffalo in a national park.
Age
Lamar
District
Nez Perce
District
Firehole
District
Row
Total
Calf
15
13
13
41
Yearling
13
8
12
33
Adult
35
26
31
92
Column Total
63
47
56
166
Use a chi-square test to determine if age distribution and
location are independent at the 0.05 level of significance.
(a) What is the level of significance?
State the null and...
The following table shows age distribution and location of a random sample of 166 buffalo in...
The following table shows age distribution and location of a
random sample of 166 buffalo in a national park.
Age
Lamar
District
Nez Perce
District
Firehole
District
Row
Total
Calf
16
10
15
41
Yearling
10
9
14
33
Adult
32
24
36
92
Column Total
58
43
65
166
Use a chi-square test to determine if age distribution and
location are independent at the 0.05 level of significance.
(a) What is the level of significance?
State the null and...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- 1. Consider the following nuclides: &
- In general, teams can be described three ways. Name and define each.
- JAVASCRIPT: Please create an array of student names and another array of student grades. - Create...
- Topic - Construction: Structural, loads, tension 1.) Explain why pure tension members are the most efficient...
- Procter and Gamble (PG) paid an annual dividend of $ 1.62$1.62 in 2009. You expect PG...
- locate a recent case of online child pornography. Write a summary of the incident and describe...
- #Python 5. Write function called evaluate() that evaluates the following Python expressions or assignments as specified:...
ADVERTISEMENT