+1-415-315-9853

info@mywordsolution.com

## Statistics

1. To study what fraction of houses for sale in Victoria has a finished basement, a researcher selected a random sample of 20 houses that were on the market. It was found that 11 of the houses surveyed did in fact have a finished basement.

(a) Using the random sample gathered by the researcher, compute a 95% confidence interval for proportion of houses for sale in Victoria that have a finished basement.

(b) After computing a confidence interval for proportion of houses for sale in

Victoria which have a finished basement the researcher felt that the received confidence interval was probably too wide to be of any practical use to realtors or potential buyers. So the researcher would like to collect a larger sample of houses for sale in order to acquire a better estimate. The wanted confidence interval is still a 95% confidence interval, and the researcher can make use of the estimate for p from the initial sample in order to decide on what sample size to use. What sample size must now be gathered in order to estimate the true proportion of houses for sale in Victoria that have a finished basement to within 0.05?

2. As part of a study of corporate employees, the Director of Human Resources for PNC wants to evaluate the distance travelled to work by employees at their once in down-town Edmonton with those in downtown Montreal. A random sample of 35 Edmonton employees showed they travelled a mean of 590 km per month, with a sample standard deviation of 50 km per month. A sample of 28 Montreal employees showed they travelled a mean of 610 km per month, with a sample standard deviation of 34 km per month. Assume that the populations are approximately normal. At the 0.05 significance level, would you conclude that there is a differentiation between the mean numbers of kilometres travelled per month by Edmonton and Montreal employees?
Clearly state your hypotheses, the observed value of the appropriate test statistic, the number of degrees of freedom of the test statistic you are using, and the p-value (or bounds on the p-value) that you will base your decision on, and state your actual conclusion.

3. An experimental surgical process is being studied as an alternative to the old technique. Both techniques are considered safe; however the new technique has the potential to reduce operating time. Five surgeons each operate on two patients that have been matched by age, sex, and other relevant factors, performing the old procedure on one patient and the new procedure on other. The time to complete each surgery (in minutes) is recorded in the following table.

(a) Conduct a hypothesis test at significance level α = 0:05 to decide if there is adequate evidence to conclude that the new procedure is faster than the old one. You can suppose that the differentiations between the old and new times are normally distributed. As always, clearly state your hypotheses, the observed value of the appropriate test statistic, the number of degrees of freedom of the test statistic you are using, the p-value (or bounds on the p-value) that you will base your conclusion on, and state your actual conclusion.

(b) Use Excel to conduct the same hypothesis test as you conducted in part (a): To do this you will need to  first enter the times for each method into two columns of a spreadsheet. Then, under the Data menu, and under the Data Analysis Tools menu, select the paired t-test. You will need to enter the Variable 1 Range and the Variable 2 Range. I used (A1:A5) and (B1:B5). Then enter the value of the Hypothesized Mean Difference as 0 and specify the value for α at which the test is being conducted. Cut and paste the output of the test into a word-processing document and include it with your assignment. You may need to stretch the columns of the output so that you can read all of the entries in the cells. Under your table, clearly state the observed value of the test statistic and the p-value given by Excel. Note that Excel will provide two p-values, depending on whether the test is a two-tailed test or a one-tailed test. Select the appropriate one. Would you make the same conclusion that you made in part (a)?

Statistics and Probability, Statistics

• Category:- Statistics and Probability
• Reference No.:- M91373

Have any Question?

## Related Questions in Statistics and Probability

### A random process xt has the following member

A random process X(t) has the following member functions:    Each member function occurs with equal probability (a) Find the mean function  (b) Find the autocorrelation function  (c) Is the process WSS? Is it stationary ...

### Regression analysis assignmentuse your data and excel

Regression Analysis Assignment Use your data and excel spreadsheet program to perform a multiple regression analysis for your variables. The analysis should include the following: 1. Provide a brief background of the sit ...

### Let x be a two-element zero-mean random vector suppose we

Let X be a two-element zero-mean random vector. Suppose we construct a new random vector Y according to a linear transformation, . Find the transformation matrix,  Y=TX,  such that has a covariance matrix of T such that  ...

### Data analysis one sample t testanti piracy law

Data Analysis: One Sample "T" Test Anti piracy law enforcement: H 0 : Anti piracy law enforcement does not influence laptop computer market in Bangladesh. H 1 : Anti piracy law enforcement influences laptop computer mark ...

### Google the swing and nude on a sofa by rococo artists

Google "The Swing" and "Nude on a Sofa" by Rococo artists Fragonard and Boucher, and the neoclassical works "The Oath of the Horatii" and "La Grande Odalisque" by David and Ingres. Write a paper contrasting the amoral de ...

### Can the sample standard deviations s1 and s2 be used in

Can the sample standard deviations s1 and s2 be used in place of the population standard deviations σ1 and σ2? 1. "Testing the Difference between Two Means." (Note: Please respond to only one of the following two bullete ...

### Statistics for premasters fall 2015 assignment - basic

Statistics for Premasters, fall 2015 Assignment - Basic terms and exploring data Q1. For each of the following statements, indicate whether they are true or false, why, and explain with an example. a) An interval-scale i ...

### Let and be random variables with means mux and muy

Let and be random variables with means μ X and μ Y , variences σ 2 X and σ 2 Y ,   and correlation coefficient ρ X ,Y (a) Find the value of the constant which minimizes    (b) Find the value of  when A  is given as deter ...

### A pair of random variables has a joint pdf specified

A pair of random variables has a joint PDF specified by f X,Y (x,y) = dexp(-(ax 2 +bxy+cy 2 )). (a) Find the constant in terms of ,a , b and c . Also, find any restrictions needed for a , b and c  themselves for this to ...

### Msa stat workshop assessment requirements1 what is the

MSA STAT Workshop Assessment REQUIREMENTS 1. What is the population Regression function? ("GNP"  is dependent, and "Invest," "CPI" and "Interest" are independent) 2. Is this regression function significant overall (state ...

• 13,132 Experts

## Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

### A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

### What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

### Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

### Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

### Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate