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

Measures of dispersion, advantages an d disadvantages of various measures o...

advantages an d disadvantages of various measures o f dispersion

Difference in the loss in man-hours - accidents in firms, An occupational h...

An occupational health inspector was interested in determining whether there is a difference in the loss in man-hours due to accidents  by introducing a new safety programme.  The

Quartile Deviation, Quartile Deviation The range as a measure of dispersio...

Quartile Deviation The range as a measure of dispersion discussed above has certain limitations. It is based on two extreme items and it fails to take account of the scatter withi

Define mean, Explain what central tendency and variability are. In your ans...

Explain what central tendency and variability are. In your answer define what the mean, median, mode, variance, and standard deviation are. What is the difference between the descr

find the standard deviation, Research Question: Percentage of student...

Research Question: Percentage of students who drank a can, bottle, or glass of soda or pop (not including diet soda or diet pop) at least 1 time per day during the seven days

Use this information to construct the 90% and 95% confidence, From random s...

From random sample of 48 days in a recent year, U.S. gasoline prices had a mean of $3.63. Assume the population standard deviation is $0.21?

Hypothesis testing, The caffeine is expected to lower reaction time by an a...

The caffeine is expected to lower reaction time by an average of 30 msec. Scores on the simulator task for the regular population (without caffeine) form a normal distribution with

Analysis and interpretation business report, Case Study. Using the data, pr...

Case Study. Using the data, prepare a report that analyses the profitability, liquidity and solvency of a Accessorize Pty Ltd and help the owner to decided whether to purchase the

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