Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Statistics and Probability Expert

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.

614_surgeon table.jpg

(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

The university is attempting to set its staffing plan for

The University is attempting to set its staffing plan for the next several year, and it wants to determine if the distribution of students among various graduate majors has changed from the historical averages which were ...

Starting in 1998 a series of credit card usage studies have

Starting in 1998, a series of credit card usage studies have been performed by Sallie Mae, a major provider of educational loans and savings programs. In a recent pilot study, a random pool of 122 loan applicants attendi ...

A bakery was taken to court for selling loaves of bread

A bakery was taken to court for selling loaves of bread that were underweight. These loaveswere advertised as weighing 24 ounces. In its defense, the bakery claimed that the advertisedweight was meant to imply not that e ...

Joshua and his army are planning to circle jericho seven

Joshua and his army are planning to circle Jericho seven times. Will the wall come tumbling down? The king of Jericho reports that: I ascribe probability 0.8 to "the wall of the city will fall, and Joshua ascribes probab ...

A repeated-measures experiment comparing only two

A repeated-measures experiment comparing only two treatments can be evaluated with either a t statistic or an ANOVA. As we found with the independent-measures design, the t test and the ANOVA produce equivalent conclusio ...

Using the confidence interval when conducting a two-tailed

Using the confidence interval when conducting a two-tailed test for the population proportion p, we reject the null hypothesis if the hypothesized value for p falls inside the confidence interval.

1 why can it be argued that the formula for calculating r

1. Why can it be argued that the formula for calculating r should be named the Edgeworth, rather than the Pearson, correlation coefficient? 2. Why may we not interpret or discuss a correlation coefficient that is not sta ...

Problem 1 if we were to visit europa one of jupiters

Problem 1: If we were to visit Europa (one of Jupiter's Galilean moons) and we were to look at the sky, what would be Jupiter's angular size if Jupiter is in average 670,900 km away from Europa and has a diameter of 139, ...

Assignment quantitative methodsquestion 1 a large shipping

ASSIGNMENT: QUANTITATIVE METHODS QUESTION 1: A large shipping company recorded the tonnage shipped weekly across the pacific for 50 weeks. The data is presented in the table below. 530 492 462 379 487 523 600 618 548 431 ...

How did religion shape indian reaction to white settlement

How did religion shape Indian reaction to white settlement in the nineteenth century?

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

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.

Ask Now Help with Problems, Get a Best Answer

WalMart Identification of theory and critical discussion

Drawing on the prescribed text and/or relevant academic literature, produce a paper which discusses the nature of group

Section onea in an atwood machine suppose two objects of

SECTION ONE (a) In an Atwood Machine, suppose two objects of unequal mass are hung vertically over a frictionless

Part 1you work in hr for a company that operates a factory

Part 1: You work in HR for a company that operates a factory manufacturing fiberglass. There are several hundred empl

Details on advanced accounting paperthis paper is intended

DETAILS ON ADVANCED ACCOUNTING PAPER This paper is intended for students to apply the theoretical knowledge around ac

Create a provider database and related reports and queries

Create a provider database and related reports and queries to capture contact information for potential PC component pro