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 7.7. She thinks that the mean is lower than

7.7. So she selects a random sample of 28 applicants and asks each how many medical schools they applied to. The mean of the sample is 6.8. The population standard deviation is 2.5 . Test her claim at α=0.10. Assume that the variable is normally distributed. Use the P -value method with tables.

State the hypotheses and identify the claim.

:H0 ▼(Choose one)

:H1 ▼(Choose one)

This hypothesis test is a ▼(Choose one)

test.

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

Find the P-value. Round the answer to at least four decimal places. P-value=

Make the decision.

▼(Choose one) the null hypothesis.

Summarize the results.

There is ▼(Choose one) that the average number of applications a potential medical school student sends is lower than

7.7

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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