BUACC5931: Statistics Assignment Help

Assignment Task

Section A

Answer all the 15 questions. You can only select one answer for each question.

1. The numbers on football players' uniforms is an example of

A) an ordinal scale.

B) an interval scale.

C) a nominal scale.

D) a ratio scale.

2. The portion of the universe that has been selected for analysis is called

A) a parameter.

B) a frame.

C) a statistic.

D) a sample.

3. Which of the following is most likely a population as opposed to a sample?

A) Registered voters in a state.

B) Every third person to arrive at the bank.

C) Respondents to a newspaper survey.

D) The first 5 students completing an assignment.

4. The University Registrar mailed a survey to a total of 400 students. The sample included 100 students randomly selected from each of the first-year, second-year, third-year, and honours level students on campus last term. What sampling method was used?

A) Simple random sample.

B) Systematic sample.

C) Stratified sample.

D) Cluster sample.

5. The average salary of a University lecturer in Australian dollars is an example of

A) an interval scale.

B) a nominal scale.

C) an ordinal scale.

D) a ratio scale.

6. In a perfectly symmetrical bell-shaped "normal" distribution

A) the median equals the mode.

B) the arithmetic mean equals the mode.

C) the arithmetic mean equals the median.

D) All the above.

7. Which of the following would be an appropriate null hypothesis?

A) The mean of a sample is equal to 55.

B) The mean of a population is greater than 55.

C) The mean of a population is equal to 55.

D) Only A and C are appropriate.

8. Which of the following would be an appropriate alternative hypothesis?

A) The mean of a sample is greater than 55.

B) The mean of a population is greater than 55.

C) The mean of a sample is equal to 55.

D) The mean of a population is equal to 55.

9. A Type II error is committed when

A) we reject a null hypothesis that is true.

B) we reject a null hypothesis that is false.

C) we don't reject a null hypothesis that is true.

D) we don't reject a null hypothesis that is false.

10. A Type I error is committed when

A) we reject a null hypothesis that is false.

B) we don't reject a null hypothesis that is true.

C) we don't reject a null hypothesis that is false.

D) we reject a null hypothesis that is true.

11. The most recent research is most likely to be found in ____.

A. conference papers or posters

B. academic journals

C. scholarly books

D. theses or dissertations

12. ______ occurs when a participant’s responses are kept private, although the researcher may be able to link each participant to his or her responses.

A. Informed consent

B. Debriefing

C. Confidentiality

D. Anonymity

13. The first thing you should do after identifying your topic, you should ______.

A. identify a testable hypothesis

B. collect data

C. ask friends and family members for their opinions on the topic

D. read and evaluate past research on the topic

14. The ___ of a primary research article provides a brief overview of the entire study.

A. Introduction

B. Abstract

C. Results section

D. Discussion section

15. The degree to which we can say that changes in one variable were caused by changes in another variable is called ______.

A. replication

B. correlation

C. external validity

D. internal validity

Section B

Answer any 5 out of the 8 questions in section B

Question B1 What are the principal advantages of using secondary data and what are the key limitations of secondary data?

Question B2 What is experimental research design? Describe its advantages and disadvantages.

Question B3 Describe the research process and give an example.

Question B4 Describe measurement reliability and give an example

Question B5 Explain the meaning of a p value, and its role in hypothesis testing.

Question B6 Describe simple random sampling method and give an example.

Question B7 Describe the structure of a quantitative research report.

Question B8 Explain in what circumstances you would use independent samples t-test?

Section C

Answer any 4 questions out of the 6 questions in Section C

Question C1 The daily sales (in thousand dollars) of a shop over the last year were recorded. Summary statistics for the daily sales were calculated, and are given in Table 1.

Table 1: Summary statistics of daily sales for the shopnship? Give your reason.

1. Is the data collected on the daily sales qualitative or quantitative? Is the data discrete, continuous or neither?

2. Calculate the sample standard deviation, range, and interquartile range for the daily sales.

Value of the standard deviation:

Value of the range:

Value of the interquartile range:

3. In the summary statistics, the mean is greater than the median, but in general only very slightly greater. Explain what this indicates about the shapes of the distributions.

4. Any value of the variable with Z score less than -3.0, or greater than +3.0 is classified as outliers. Check whether the minimum and maximum are outliers.

The value of the z score of minimum:

The value of the z score of the maximum:

Any outliers and explanation:

Question C2

A pizza outlet advertises that its average waiting time is less than 12 minutes from the time an order is placed. A random sample of waiting times for 50 orders is found to have a mean of 11.5 minutes and a standard deviation of 2.0 minutes. The significance level ? is set at 0.05. The data analysis results are shown in Table 2

1) Give appropriate null and alternative hypotheses.

Null hypothesis H0:

Alternative hypothesis H1:

2) Find the p value for this test.

The p value:

3) What decision should be made about the hypotheses? Give evidence for your choice.

4) Is there sufficient evidence to support the pizza outlet’s claim?

Question C3

The lifetimes of an element in a Heatfast electric oven are normally distributed with a mean of 10.0 years and a standard deviation of 2.0 years.

1. If the element is guaranteed for 5 years, what percentage of the ovens sold will need replacement in the guarantee period because of element failure?
2. What proportion of elements are expected to last for over 12 years
3. What proportion of elements are expected to last for between 5 and 12 years?

Question C4

An independent samples t-test is used to analyse female are happier with their jobs than men. Table 3 displays the independent samples t-test output. The significance level ? is set at 0.01.

1. Give appropriate null and alternative hypotheses.

Null hypothesis H0:

Alternative hypothesis H1:

2. Find the p value for this test.

P value:

3. The alpha level is set at 0.01, what decision should be made about the hypotheses. Give evidence for your choice.

Question 5

Multiple linear regression is used to analyse the effect of the independent variables (property size, number of bedrooms, number of bath rooms, and types of property) on the dependent variable (property price). The following tables are multiple linear regression output.

1. Is there a linear relationship between the dependent variable and all the independent variables as a group?
2. What percentage of variance (Coefficient of Determination) of property price is explained by the four independent variables as a group? Value of coefficient of determination:
3. Please identify the independent variables that have relationships with property price?
4. If there is a relationship between any independent variables and property price, what is the direction and estimated regression coefficient of the relationship?

Question C6

Pearson’s correlation is used to analyse the relationship between company sales and company profit. Table 5 represents Pearson’s correlation output. Table 5 Pearson correlation between the two variables

1. Give appropriate null and alternative hypotheses.

Null hypothesis H0:

Alternative hypothesis H1

2. What is the correlation coefficient between the two variables? Correlation coefficient:
3. At the alpha level of 0.01, is there a linear relationship between sales and profit? Give your reason.
4. If there is a linear relationship, what is the direction of the relationship? Give your reason.

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