Test statistic and the p-value, Basic Statistics

Assignment Help:

An experimental surgical procedure is being studied as an alternative to the old method. Both methods are considered safe, but the new method 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 the other. The time to complete each surgery (in minutes) is recorded in the following table.

Surgeon 1 Surgeon 2 Surgeon 3 Surgeon 4 Surgeon 5

Old Way 36 55 28 40 62

New Way 29 42 30 32 56

(a) Conduct a hypothesis test at signi_cance level _ = 0:05 to decide if there is enough evidence to conclude that the new procedure is faster than the old one.

You can assume that the di_erences 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 first 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)?


Related Discussions:- Test statistic and the p-value

Analyse resources and accountability, The unfortunately-named (and fictitio...

The unfortunately-named (and fictitious) town of Avalanche, Utah maintains a vibrant and growing ski industry.  As Director of Avalanche's search-and-rescue operations, you are alw

Accounting standards in word countries, Accounting Standards in word countr...

Accounting Standards in word countries: Diverse countries like Peru, Australia, Kuwait, South Africa etc. have all started adopting the IFRS. The SEC has suggested that all compan

Accounting standards aims and objectives, Accounting Standards Aims and Obj...

Accounting Standards Aims and Objectives:  The aim of this report is to understand the various changes that have taken place in the accounting standards in various countries since

Balance sheet assignment, The High Company Balance Sheet Assignment (to be...

The High Company Balance Sheet Assignment (to be completed using Microsoft Excel) -Create T accounts for each transaction #1-10 -Create a trial balance -Create Income Statement -

Estimate the cost of producing, Consider the manufacturing system presented...

Consider the manufacturing system presented in the article by Yu and Bricker (1993). The management would like to purchase new machine tools more reliable and more high accuracy

Poisson distribution, uuuuioooooo zAZ az; z;;ZuazA; Zazx A Za zA ZA xza XZ ...

uuuuioooooo zAZ az; z;;ZuazA; Zazx A Za zA ZA xza XZ Axz AZX A xA XZ axz AZX A zxA ZXa oxz aOX AxzAAX axz

Psy 1110 Ohio University, do you give the answers with the way you figured ...

do you give the answers with the way you figured the problem out?..

Describe the relationship between gender and course of study, In Ireland, D...

In Ireland, Davoren et el (2015) report that that 65.2% of male University students self-reported alcohol consumption levels which are classified as hazardous. A random sample of

What is the speed of the block, A prevent of huge m = 10 kg is drawn by a p...

A prevent of huge m = 10 kg is drawn by a power F = 100 N at a position q = 30o with the horizontally along a sleek horizontally exterior. What is the speed of the block? (g = 10 m

Correlation, what are the condition to use probable error

what are the condition to use probable error

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd