Answered: Medical Operations The director of a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Medical Operations The director of a medical hospital feels that her surgeons perform more operations per year than the national average of 211. She selected a random sample of 15 surgeons and found that the mean number of operations they performed was 213.2. The standard deviation of the sample was 3.8. Is there enough evidence to support the director's feelings at =α0.05? Assume that the population is approximately normally distributed. Use the critical value method and tables.

State the hypotheses and identify the claim.

H0: Is a claim or not a claim

H1: is a claim or is not a claim

Find the critical value:

Compute the test value:

Make the decision

Summarize the results.

There is or is not enough evidence to support the claim.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

Expert Solution

Step 1: given

we have given that random sample =n=15

$x with bar on top equals 213.2 mu equals 211 s equals 3.8 space left parenthesis s a m p l e space s tan d a r d space d e v i a t i o n right parenthesis$

$alpha equals 0.05$

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