Answered: Medical School Applications A medical…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Medical School Applications A medical college dean read that the average number of applications a potential medical school student sends is 7.9 . She thinks that the mean is different. So she selects a random sample of 37 applicants and asks each how many medical schools they applied to. The mean of the sample is 8.9 . The population standard deviation is 2.6. Test her claim at α=0.01

Assume that the variable is normally distributed. Use the critical value method with tables.

State the hypotheses and identify the claim with the correct hypothesis.

:H0

=μ7.0

▼claim

:H1

≠μ7.9

▼not claim

This hypothesis test is a ▼one-tailed test.

Find the critical value(s). Enter the values in ascending order and round the answer to two decimal places. If there is more than one critical value, separate them with commas.

Critical value(s):

Compute the test value. Always round z score values to at least two decimal places.

Make the decision.

Summarize the results.

There is /is not enough evidence to support the claim that the average number of applications a potential medical school student sends is different than 7.9.

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.

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