statistics
1. Text book problems to complete: Chapter Three Work:
Chapter Three Work: p. 122: 3.5, p 123: 3.13, p. 136: 3.40
2. Non-text book problems to complete:
A. Use the following population data to complete the next two questions:
50, 62.5, 37.5, 75.0, 45.0, 47.5, 15.0, 25.0
What is the mean?
What are the variance and standard deviation?
B. Use the following data to complete the next three questions:
|
Data A |
10,421; |
10,110; |
9,862; |
10,475; |
9,920; |
10,592; |
11,213; |
10,933; |
11,134; |
10,316 |
|
Data B |
1,379; |
1,356; |
1,373; |
1,410; |
1,389; |
1,463; |
1,529; |
1,499; |
1,516; |
1,355 |
What is the sample covariance between Data A and Data B
What is the sample correlation coefficient between Data A and Data B
How would you classify the linear relationship between Data A and Data B? a. Weak b. Moderate c. Strong d. No relationship
C. Use the following data to complete the next five questions.
A sample of 10 cell phone/cable/Internet bills: $1,589; $593; $1,223; $869; $423; $1,720; $708; $1,425; $922 and $308.
What is the mean and median of the cost?
What is the five-number summary of the cost?
What is the interquartile range of the cost?
Create a boxplot for the data.
Interpret the shape.
Please submit all the problems online as an attachment.
Please submit both the text book and non-text book problems as an attachment online through this assignment link.
Due date: Wednesday February 2, 2022 by 11:59 pm EST
3.5 Suppose that the rate of return for a particular stock during the past two years was 10% for one of the years and 30% for the other year. Compute the geometric rate of return per year. (A rate of return of 10% is recorded as 0.10, and a rate of return of 30% is recorded as 0.30.)
3.13 The file [Accounting Partners] contains the number of partners in a cohort of rising accounting firms that have been tagged as “firms to watch.”
Source: Data extracted from 2019 Top 100 Firms, Bloomberg BNA, accountingtoday.com.
a. Calculate the mean, median, and mode.
b. Calculate the variance, standard deviation, range, coefficient of variation, and Z scores. Are there any outliers? Explain.
c. Are the data skewed? If so, how?
d. Based on the results of (a) through (c), what conclusions can you reach concerning the number of partners in rising accounting firms?
3.40 Consider a population of 1,024 mutual funds that primarily invest in large companies. You have determined that
μ,
the mean one-year total percentage return achieved by all the funds, is 8.20 and that
σ,
the standard deviation, is 2.75.
a. According to the empirical rule, what percentage of these funds is expected to be within
±1
standard deviation of the mean?
b. According to the empirical rule, what percentage of these funds is expected to be within
±2
standard deviations of the mean?
c. According to Chebyshev's theorem, what percentage of these funds is expected to be within
±1,±2,
or
±3
standard deviations of the mean?
d. According to Chebyshev's theorem, at least 93.75% of these funds are expected to have one-year total returns between what two amounts?